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More "Geometrical" Quotes from Famous Books
 ... the money at the sight of his lost love, whose preciousness in his eyes was increasing in geometrical progression with each new incident that reminded him of their hopeless division. Brimming with the subtilized misery that he was capable of feeling, he followed the opposite way towards ...
— The Return of the Native • Thomas Hardy
... been shaped in the past, Art tells us how it should be shaped in the future. Professor Geddes, in fact, envisages our civic shell as becomes a brilliant biologist, who also happens to be a man of historic imagination, ethical impulses, and aesthetic perceptions. For the human shell is not merely geometrical and architectural, like those of apian or beaverish communities; it holds and expresses all those differences by which we are exalted above the bee or the beaver. It is coloured with our emotions and ideals, and contorted with all the spirals of our history. And all these manifestations of ...
— Civics: as Applied Sociology • Patrick Geddes
... 16). But one can easily imagine that once the idea of Number became associated with that of the knowable in things, a wide field of detailed development and experiment, so to speak, in the arcana of nature, seemed to be opened. Every arithmetical or geometrical theorem became in this view another window giving light into the secret heart of things. Number became a kind of god, a revealer; and the philosophy of number a kind of religion or mystery. And this is why the {26} second grade of disciples were called Mathematicians; ...
— A Short History of Greek Philosophy • John Marshall
... calculus of to-day. The conceptions of geometry have likewise evolved until to-day mathematicians speak of configurated bodies in fourth and higher dimensions of space, which are beyond the powers of perception, even though in a sense they exist conceptually. The behavior of geometrical examples in one dimension leads to the characteristics of bodies in two dimensions. Upon these facts are constructed the laws of three-dimensional space which serve to carry mathematical thought to the remoter conceptual spaces of which we have spoken. It may seem that we are ...
— The Doctrine of Evolution - Its Basis and Its Scope • Henry Edward Crampton
... quietly writing here at eleven o'clock last night when old Prudence Baldwin, his housekeeper, last saw him. Afterward Dr. Herrick appears to have diverted himself by taking away the mats and chalking geometrical designs upon the floor, as well as by burning some sort of incense in ...
— The Certain Hour • James Branch Cabell
... barometers were broken at an early stage of the expedition; the height however of some principal points had been previously obtained, and is marked on the chart; these in two instances were verified by geometrical measurement, and the difference was found to be too trilling to be noticed. The conveyance of such delicate instruments is always attended with great risk, and in our case peculiarly so, our means being only those of horseback. I am afraid that a method of constructing ...
— Journals of Two Expeditions into the Interior of New South Wales • John Oxley
... open. He slipped through, and found himself in a splendid hall, far more splendid, he feared, than the forest, there was so much more gilding everywhere, and even the floor was made of great coloured stones, fitted together into a sort of geometrical pattern. But the little Infanta was not there, only some wonderful white statues that looked down on him from their jasper pedestals, with sad blank eyes and ...
— A House of Pomegranates • Oscar Wilde
... phases; in a given volume, matter ought so to arrange itself that the total sum of free energy has a minimum value. Thus, in order to elucidate all questions relating to the number and qualities of the phases into which the substance divides itself, we are led to regard the geometrical surface which for a given temperature represents ...
— The New Physics and Its Evolution • Lucien Poincare
... by the inconceivably momentous relations subsisting between our own and other planets and their common centre; amidst whose sublime and solemn phenomena science has most clearly discovered that everything is accurately adjusted by geometrical precision of force and movement; where the chances of error are infinite, and the proofs of intelligence, therefore, equal. These proofs of design in each fragment of the universe, and in all combined, are continually further multiplied by every fresh discovery, whether in the minute or the vast—by ...
— Reason and Faith; Their Claims and Conflicts • Henry Rogers
... hand of nature. The hard, level, sandy beach, swept clean and smooth by the ceaseless action of the tides, stretched out far as the eye could reach in one long, bold, monotonous line. Like the whole coast of Flanders and of Holland, it seemed drawn by a geometrical rule, not a cape, cove, or estuary breaking the perfect straightness of the design. On the right, just beyond high-water mark, the downs, fantastically heaped together like a mimic mountain chain, or like tempestuous ocean-waves suddenly changed to sand, rolled wild and confused, ...
— The Rise of the Dutch Republic, 1555-1566 • John Lothrop Motley
... Spenser a central artistic motive of the piece. The eclogues are arranged with no small skill and care on somewhat of an architectural design, or perhaps we should rather say with somewhat of the symmetry of a geometrical pattern. This will best be seen in a brief analysis of the several eclogues, 'proportionable,' as the title is careful to inform us, 'to ...
— Pastoral Poetry and Pastoral Drama - A Literary Inquiry, with Special Reference to the Pre-Restoration - Stage in England • Walter W. Greg
... [Greek: diagraphein], to mark out by lines), a figure drawn in such a manner that the geometrical relations between the parts of the figure illustrate relations between other objects. They may be classed according to the manner in which they are intended to be used, and also according to the kind of analogy which we recognize between the diagram and ...
— Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 3 - "Destructors" to "Diameter" • Various
... attitude. Philo is not original in his views concerning numbers, not above nor below the loose thinking of his age. He accepts unquestioningly the potency of seven, because of its marvellous mathematical properties, ratios, etc., its geometrical efficacy, and because of the seven periods of life from infancy to old age, of the seven parts of the body, the seven motions, the seven strings of the lyre, the seven vowels, and the very name, which is ...
— Philo-Judaeus of Alexandria • Norman Bentwich
... assumed to eyes that watched over the trembling interests of man. The English army, about that time in the great agony of its strife, was thrown into squares; and under that arrangement, which condensed and contracted its apparent numbers within a few black geometrical diagrams, how frightfully narrow, how spectral, did its slender quadrangels appear at a distance, to any philosophic spectators that knew about the amount of human interests confided to that army, and the hopes for Christendom that even then were trembling in the balance! Such ...
— Autobiographic Sketches • Thomas de Quincey
... At 32 deg. Fahrenheit, and far below that temperature, oxygen and hydrogen are elastic gaseous bodies, whose particles tend to rush away from one another with great force. Water, at the same temperature, is a strong though brittle solid, whose particles tend to cohere into definite geometrical shapes, and sometimes build up frosty imitations of the most complex forms of ...
— Lectures and Essays • Thomas Henry Huxley
... IRREGULAR SHAPES.—These Blocks are made up of geometrical figures, cut with mathematical precision from fine maple wood. They are very instructive, and are often used in schools for drawing exercises and geometrical illustrations. They will make finished architectural designs, such ...
— The Nursery, January 1877, Volume XXI, No. 1 - A Monthly Magazine for Youngest Readers • Various
... be doubted that MR. WILKINSON has traced with singular acumen the manner in which the spirit of geometrical research was diffused amongst the operative classes, and the class immediately above them—the exciseman and the country schoolmaster. Still it is not to be inferred, that even these classes did not contain ...
— Notes and Queries, Number 57, November 30, 1850 • Various
... question before me, I must say a word of the road that I shall traverse. When Pascal approached a geometrical problem, he invented a method of solution; to solve a problem in philosophy a method is equally necessary. Well, by how much do the problems of which philosophy treats surpass in the gravity of their results those discussed by geometry! How much more imperatively, ...
— What is Property? - An Inquiry into the Principle of Right and of Government • P. J. Proudhon
... thought that, by imagining the existence of a planet between Mars and Jupiter, and another between Venus and Mercury, he might be able to attain his object; but he found that this assumption afforded him no assistance. Kepler then imagined that as there were five regular geometrical solids, and five planets, the distances of the latter were regulated by the size of the solids described round one another. The discovery afterwards of two additional planets testified to the absurdity of this speculation. A description of these extraordinary researches was published, ...
— The Astronomy of Milton's 'Paradise Lost' • Thomas Orchard
... wandered back to bygone times, while I, not wishing to interrupt her, had taken the poker in my hand and with it was tracing geometrical figures in the peat-ash on the hearthstone. So absorbed was I in my circles and pentagons that I did not notice that Grannie had stopped short in her story, and was taking a lively interest in what I was doing. It was ...
— More Tales of the Ridings • Frederic Moorman
... points. This dome we understand to be the complement or completing part of a correspondent dome on the other side of the world. It follows that we are in the heart of a hollow sphere of loveliest blue, spangled with light. Now the sphere is the one perfect geometrical form. Over and round us then we have the one perfect shape. I do not say it is put there for the purpose of representing God; I say it is there of necessity, because of its nature, and its nature is its relation to God. It is of ...
— What's Mine's Mine • George MacDonald
... terms employed, the more I am satisfied that they have entirely and radically different meanings in the minds of those who use them. Yet they deal with them as if they were as definite as mathematical quantities or geometrical figures. What would become of arithmetic if the figure 2 meant three for one man and five for another and twenty for a third, and all the other numerals were in the same way variable quantities? Mighty intelligent correspondence business men would ...
— The Poet at the Breakfast Table • Oliver Wendell Holmes, Sr.
... then," I continued, with painful candour, for I longed to see the pictures he had spoken of, "group themselves into globes and round balls of fire, and the lines that flash about sometimes look like triangles and crosses—almost like geometrical figures. Nothing more." ...
— Three John Silence Stories • Algernon Blackwood
... Science of Calculation, and then his Analysis Demonstrated; but I never went far enough thoroughly to understand the application of algebra to geometry. I was not pleased with this method of performing operations by rule without knowing what I was about: resolving geometrical problems by the help of equations seemed like playing a tune by turning round a handle. The first time I found by calculation that the square of a binocular figure was composed of the square of each of its parts, and double the product of one by the other; ...
— The Confessions of J. J. Rousseau, Complete • Jean Jacques Rousseau
... a stick, and drew in the sand the geometrical problem of which he had spoken. It is one of the simplest. No sooner had he done so than the Martians set ...
— Through Space to Mars • Roy Rockwood
... Mayence, and at Strasbourg, were at work upon a machine which, if perfected, should at once extend letters a hundred-fold, and by that process revolutionize literature. The writers before, few as they were, had been almost as numerous as the readers; hereafter the readers were to increase in a geometrical proportion, and each great writer should address millions. Movable types, first of wood and then of metal, were made, the latter as early as 1441. Schoeffer, Guttenberg, and Faust brought them to such perfection that books were soon printed ...
— English Literature, Considered as an Interpreter of English History - Designed as a Manual of Instruction • Henry Coppee
... time, he had thought, and be bored during the wasting, by studying grammar if one could already talk intelligibly to people? And why should one not revel in complicated problems of figures and geometrical designs that really took some hard thinking to work out, if hard thinking was just ...
— Herbert Hoover - The Man and His Work • Vernon Kellogg
... designed by H. Woodyer, Esq., in the Geometrical style of Decorated architecture, and comprises a nave and aisles 60 feet long and 50 feet in width, a handsome chancel, a south porch, and tower 80 feet high. It is built in the ornamented parts and internally of Bath stone, the exterior being the gritstone of the neighbourhood. The ...
— The Forest of Dean - An Historical and Descriptive Account • H. G. Nicholls
... thought that the Essay on 'Population' had not confuted them. Professor Wallace, Derham, and a number of German statistic, and physico-theological writers had taken the same ground, namely, that population increases in a geometrical, but the accessional nutriment only in arithmetical ratio—and that vice and misery, the natural consequences of this order of things, were intended by providence as the counterpoise. I have here ...
— Reminiscences of Samuel Taylor Coleridge and Robert Southey • Joseph Cottle
... thus the object which is the sum total of objects situated in an event as thus inter-related is a mere abstract concept. Again a right-angle is a perceived object which can be situated in many events; but, though rectangularity is posited by sense-awareness, the majority of geometrical relations are not so posited. Also rectangularity is in fact often not perceived when it can be proved to have been there for perception. Thus an object is often known merely as an abstract relation not directly posited in sense-awareness although ...
— The Concept of Nature - The Tarner Lectures Delivered in Trinity College, November 1919 • Alfred North Whitehead
... have happened more happily. You would say there was in that place Plato's academy; but I do his house an injury in comparing it to Plato's academy, where there were only disputations of numbers and geometrical figures, and sometimes of moral virtues. I should rather call his house a school or university of Christian religion; for, though there is none therein but readeth and studyeth the liberal sciences, their special care is piety ...
— Harper's New Monthly Magazine, Volume 1, No. 3, August, 1850. • Various
... marvellous sky, a sort of limpid sapphire, set in the battlements of El-Azhar and fringed by those audacious slender towers. We are in the religious East of olden days and we feel how the mystery of this magnificent court—whose architectural ornament consists merely in geometrical designs repeated to infinity, and does not commence till quite high up on the battlements, where the minarets point into the eternal blue—must cast its spell upon the imagination of the young priests ...
— Egypt (La Mort De Philae) • Pierre Loti
... mosque of Barkuk in the cemetery of Kait Bey, are instances of the second and more matured style of the period. The simple plain ashlar masonry still predominates, but the wall surface is broken up with sunk panels, sometimes with geometrical patterns in them. The principal characteristics of this second period are the magnificent portals, rising sometimes, as in the mosque of sultan Hasan, to 80 or 90 ft., with elaborate stalactite vaulting at the top, and the deep stalactite cornices which crown the summit of the building. The decoration ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various
... histories, whose figures never project, whose colours are separate as those in a mosaic. The Giottesque frescoes, with their tiers and compartments of dark blue, their vague figures dressed in simple ultramarines, greens, dull reds, and purples; their geometrical borders and pearlings and dog-tooths; cover the walls, the ribbed and arched ceilings, the pointed raftering almost like some beautiful brown, blue, and tarnished gold leather-hangings; the figures, outlined in dark paint, have almost the appearance of being stencilled, ...
— Euphorion - Being Studies of the Antique and the Mediaeval in the - Renaissance - Vol. II • Vernon Lee
... popular historian would have us believe one spent his entire life in chopping down acorn trees and the other splitting them up into rails. Washington could not tell a story. Lincoln always could. [Laughter.] And Lincoln's stories always possessed the true geometrical requisites, they were never too long, and never too broad. [Laughter.] He never forgot a point. A sentinel pacing near the watchfire while Lincoln was once telling some stories quietly remarked that "He had a mighty powerful memory, but an ...
— Modern Eloquence: Vol III, After-Dinner Speeches P-Z • Various
... more probable by the existence of a specifically Islamic concentration on the astrolabe, and on its planetary companion instrument, the equatorium, as devices for mechanizing computation by use of geometrical analogues. The ordinary planispheric astrolabe, of course, was known in Islam from its first days until almost the present time. From the time of al-Biruni (ca. 1000)—significantly, perhaps, he is well known for his travel account of ...
— On the Origin of Clockwork, Perpetual Motion Devices, and the Compass • Derek J. de Solla Price
... had had the utmost tangibility in the mind of Dalton. He had all along represented the different atoms by geometrical symbols—as a circle for oxygen, a circle enclosing a dot for hydrogen, and the like—and had represented compounds by placing these symbols of the elements in juxtaposition. Berzelius proposed to improve upon this method by substituting for the geometrical symbol the ...
— A History of Science, Volume 4(of 5) • Henry Smith Williams
... he looked so masterful and independent that she hadn't the courage. It gave her quite a thrill as he took her hand and led her out through the low window to the great stone terrace. They passed down the terrace steps into a garden ablaze with tulip beds in geometrical patterns; at the foot ran a yew hedge, and beyond it, in a side-walk, they came upon a scullion boy chasing a sulphur-yellow butterfly. The Grand Duke forgot his fine manners, and dropped his bride's hand to join in the chase; but ...
— The White Wolf and Other Fireside Tales • Arthur Thomas Quiller-Couch
... sensible degree. The obvious explanation is, that the conditions of life have been very favorable, and that there has consequently been less destruction of the old and young, and that nearly all the young have been enabled to breed. In such cases the geometrical ratio of increase, the result of which never fails to be surprising, simply explains the extraordinarily rapid increase and wide diffusion of naturalized productions in their ...
— Darwiniana - Essays and Reviews Pertaining to Darwinism • Asa Gray
... Huxley defines his use of the word "archetype" at page 50: "All that I mean is the conception of a form embodying the most general propositions that can be affirmed respecting the Cephalous Mollusca, standing in the same relation to them as the diagram to a geometrical theorem, and like it, at once, imaginary and true.") (in your sense, for I detest the word as used by Owen, Agassiz & Co.) of each great class, I cannot doubt, is one of the very highest ends of Natural History; and certainly most interesting to the worker-out. Several of your remarks have ...
— More Letters of Charles Darwin - Volume I (of II) • Charles Darwin
... definite decision is arrived at. Hence, although the planning of a novel must be left to the individual author, the structure of a short-story may be considered as a matter impersonal and absolute, like the working out of a geometrical proposition. ...
— A Manual of the Art of Fiction • Clayton Hamilton
... was appropriately called, was more often a farmhouse industry, which accounts for its narrow limits, since, with choice of material, even a small familiarity with geometrical design might bring good results. It might have easily become good domestic art. Geometrical borders in two colors would have taken their place in decorative work, and the applied work, so often ventured upon, ...
— The Development of Embroidery in America • Candace Wheeler
... individual, had not been already in itself a character, and had not constituted a well-marked distinct personality, almost unique in kind, Moore would have been at variance with the most profound moralists, who agree that human nature never has the simplicity of a geometrical figure, and that, in reality, characters always are mixed, complicated, composed of opposite elements of incompatible inclinations and passions. For Moore appears to think that men are almost always swayed by one chief passion, round which, as round a pivot, life ...
— My Recollections of Lord Byron • Teresa Guiccioli
... of the Lady Chapel contains a central window of three lights and geometrical tracery, with a lancet window on the right and left. The mouldings of these side windows are not exactly alike, that on the right (of the spectator) being extremely plain, while the other is supported by slender shafts, ...
— Bell's Cathedrals: Southwark Cathedral • George Worley
... sufficient to contain the multitude thereof? At present all the collections of the Museum, books, etc., occupy only forty acres on the soil, and an average of two hundred feet towards the sky. But even these outlines indicate a block of space which under geometrical increase would in the shortest of geological periods make a more complete conquest of the earth than has ever been made by fire or water. To say nothing of the sorrows of the composition of these new literary stores, how is man, whose years are threescore-and-ten, ...
— The Atlantic Monthly, Volume 14, No. 83, September, 1864 • Various
... arrangement is independent of all the others; for it is based upon taking St Paul's as a centre, and drawing circles around this at a definite number of miles' radius; and the metropolis is thus made expansible on geometrical principles. Then the parliamentary limit is sui generis; for the metropolis here comprises the City of London, the city of Westminster, the borough of Southwark, and the five modern boroughs of Marylebone, Finsbury, Tower Hamlets, Greenwich, and Lambeth—a ...
— Chambers's Edinburgh Journal, No. 457 - Volume 18, New Series, October 2, 1852 • Various
... barbarism, but dominant, triumphant, issues forth from darksome crypts and soars upward,—elevates her vaulted roofs. "The Oriental ogive appears.... The architects heap arcade on arcade, ogive on ogive, pyramid on pyramid, and give to all geometrical symmetry and artistic grace.... The Greek column is there, but dilated to colossal proportions, and exfoliated in a variegated capital." The old Roman arch disappears, and the pointed arch is substituted,—graceful and elevated. The old Egyptian obelisk appears in the spire ...
— Beacon Lights of History, Volume V • John Lord
... in shame of the inanimate creature she had become, to force herself to think: and had, for a chastising result, a series of geometrical figures shooting across her brain, mystically expressive of the situation, not communicably. The most vivid and persistent was a triangle. Interpret who may. The one beheld the two pass from ...
— The Shaving of Shagpat • George Meredith
... LAND, EGYPT, NUBIA, &c.; Digby Wyatt's Industrial Arts of the Nineteenth Century (of both of which the lithographic stones will be destroyed during the progress of the sale); Digby Wyatt's Metal Work, and its Artistic Design; Kirby Wyatt's Geometrical Mosaics of the Middle Ages; Darrell's China, India, and the Cape, coloured and mounted; Nash's Mansions of England in the Olden Time; Gruner's Specimens of Ornamental Art; Muse Royal (picked proofs before the letters); Richardson's ...
— Notes and Queries, Number 216, December 17, 1853 • Various
... minutely and truthfully some years ago; he showed quite clearly,—and although he was much abused for his conclusions at the time, they have never yet been disproved and never will be—he showed that in consequence of the increase in the number of organic beings in a geometrical ratio, while the means of existence cannot be made to increase in the same ratio, that there must come a time when the number of organic beings will be in excess of the power of production of nutriment, and that thus some check must arise to the further increase of those organic ...
— The Conditions Of Existence As Affecting The Perpetuation Of Living Beings • Thomas H. Huxley
... diagonally, hung with red and amber bulbs. Around the chimneys had been massed evergreen trees in tubs, hiding their brick-and-mortar ugliness, and among the trees tiny lights were strung. Along the parapet were rows of geometrical boxwood plants in bright red crocks, and the flaps of a crimson and white tent had been thrown open, showing lights within, and rugs, wicker chairs, ...
— When a Man Marries • Mary Roberts Rinehart
... with respect to a conic would remain tangent to another cubic curve. This is not the case, however, and the investigations of Poncelet and others to determine the class of a given curve were afterward completed by Pluecker. The notion of geometrical transformation led also to the very important developments in the theory of invariants, which, geometrically, are the elements and configurations which are not affected by the transformation. The anharmonic ratio of four points is such an invariant, since it remains unaltered ...
— An Elementary Course in Synthetic Projective Geometry • Lehmer, Derrick Norman
... pen and ink and paper; the papers were scribbled over with beginnings of plans of action, rough drafts of proclamations and manifestos. Most of these were scratched out, as their futility became evident, and the rest of the sheet covered with absent-minded geometrical designs, as the writers sat despondently listening while Minister after Minister proposed chimerical schemes. I took one of these scribbled pages, in the hand writing of Konovalov, which read, "The Provisional Government appeals to all classes ...
— Ten Days That Shook the World • John Reed
... found in text and reference books, as well as the geometrical diagrams used in mathematical and scientific works, are made by what is known as the ...
— The Building of a Book • Various
... northeastern blast, to be a whirlwind; and the beautiful hues of the iris, bright with hope and promise, play upon the melting clouds in the segment of a circle. The eagle soars toward the heavens in curves, as though measuring the angles of distant objects by geometrical figures; and the drunkard, when unable longer to control his movements, describes a curvilinear path as he reels homeward from his revels, and waits at his bed-side to catch hold of a post as it "comes round again." Those German principalities which are ...
— Ups and Downs in the Life of a Distressed Gentleman • William L. Stone
... England, provided only that behind the eye which looks there is something to which a landscape of that peculiar character answers. There is, for example, the wide, dome-like expanse of the sky, there is the distance, there is the freedom and there are the stars on a clear night. The orderly, geometrical march of the constellations from the extreme eastern horizon across the meridian and down to the west has a solemn majesty, which is only partially discernible when their course ...
— Clara Hopgood • Mark Rutherford
... not bring you back to the starting point. Other poets still adhere to form, though the pattern must be elaborate enough to hide its scheme from the casual reader, and sufficiently elastic to provide space for sentiment and pathos. In his sixty-eighth poem Catullus employs what might be called a geometrical pattern, in fact a pyramid of unequal steps. He mounts to the central theme by a series of verses and descends on the other side by a corresponding series. In the sixty-fourth poem, however, the epyllion ...
— Vergil - A Biography • Tenney Frank
... our picture are geometrical figures, nevertheless geometry can obviously say nothing at all about their actual form and position. The network, however, is purely geometrical; all its properties can be given a priori. Laws like the principle of sufficient ...
— Tractatus Logico-Philosophicus • Ludwig Wittgenstein
... prerogative, which the king offered on June 23, went far; but the people demanded surrender in regard to privilege. The Assembly, submitting to the geometrical reasoning of Sieyes and to the surprise of the Tennis Court, had frightened him into an alliance with the nobles, and he linked his cause to theirs. He elected to stand or fall with interests not his own, with an order ...
— Lectures on the French Revolution • John Emerich Edward Dalberg-Acton
... is the true touchstone of all theories which regard man and the affairs of man: does it suit his nature in general?—does it suit his nature as modified by his habits?" He could not bear to think of having legislative or political arrangements shaped or vindicated by a delusive geometrical accuracy of deduction, instead of being entrusted to "the natural operation of things, which, left to themselves, generally fall into ...
— Burke • John Morley
... Pointed arches. Pillars with detached shafts. Moulded or carved capitals. Narrow and high pointed windows. Later period—Geometrical trefoil and circular ...
— Seaward Sussex - The South Downs from End to End • Edric Holmes
... For he was, in his own eyes, a humble plodder, not in the swim at all. But he ascribed to the huge sums real people had a right to, outside the limits of the likes of him, a kind of sacredness that grew in a geometrical ratio with their increase. It gave him much more pain to hear that a safe had been robbed of thousands in gold than he felt when, on opening a wrapped-up fee, what seemed a guinea to the touch turned out a new farthing and a shilling to the sight. It was in the air that he lived in—that all ...
— Somehow Good • William de Morgan
... site where had been the hive of huts wrapped in the green arms of the banana plantation, laboured under the incandescent sun gangs of prisoners under armed guards upon the building of larger huts laid out in streets, broad and geometrical, lined with correct ditches for drainage. Around the outskirts here and ...
— Witch-Doctors • Charles Beadle
... and the rows of lights should have been parallel—should never have met—and now they met at an angle inside the black hull of the ship. There was nothing else to indicate she was injured; nothing but this apparent violation of a simple geometrical law—that parallel lines should "never meet even if produced ever so far both ways"; but it meant the Titanic had sunk by the head until the lowest portholes in the bows were under the sea, and the portholes in the stern were lifted above the normal ...
— The Loss of the SS. Titanic • Lawrence Beesley
... well to remark that a strategic point is not necessarily a geometrical point; an entire province, or a considerable portion of a geographical frontier, is, in military language, sometimes denominated a point. In the same way, strategic lines, instead of being mathematical lines, are frequently many ...
— Elements of Military Art and Science • Henry Wager Halleck
... forth the Geometrical Distribution of Foliage, Flowers, Fruit. &c., with 20 Original Designs for decorating Cornices, Spandrils, Crosses, Corbels, Capitals, Bosses, Panels, &c. By W. ...
— Notes and Queries, Number 233, April 15, 1854 • Various
... It now remains for me to show what course is marked out for us by reason, which of the emotions are in harmony with the rules of human reason, and which of them are contrary thereto. But, before I begin to prove my Propositions in detailed geometrical fashion, it is advisable to sketch them briefly in advance, so that everyone may more readily ...
— The Ethics • Benedict de Spinoza
... De Candolle's war of nature,—seeing contented face of nature,—may be well at first doubted; we see it on borders of perpetual cold{54}. But considering the enormous geometrical power of increase in every organism and as every country, in ordinary cases must be stocked to full extent, reflection will show that this is the case. Malthus on man,—in animals no moral [check] restraint ...
— The Foundations of the Origin of Species - Two Essays written in 1842 and 1844 • Charles Darwin
... observed that these different orders are not to be understood precisely as the geometrical figures indicate them. A general who would expect to arrange his line of battle as regularly as upon paper or on a drill-ground would be greatly mistaken, and would be likely to suffer defeat. This is particularly true as battles are now fought. In ...
— The Art of War • Baron Henri de Jomini
... prepared to climb into the narrow bedstead, which he shared with his brother Laurens. He was now in a tranquil frame of mind. He didn't even have any desire to romp with Laurens, who, without laying claim to geometrical knowledge, usually managed to find the ...
— Walter Pieterse - A Story of Holland • Multatuli
... terror of loneliness that sharpens into resentment. I am widowed by the loss of the higher half of your entity. Can you not see, Philip, it is not your views I combat, your theory about humanitarianism and all that? They are but the geometrical figures of thought in your mind; and I have no wish to disturb your "philosophic proposition." The point is, I love that in you more than I love the lover. And the passion with which you cling to it as something apart from our relationship offends me, excites forebodings. ...
— The Jessica Letters: An Editor's Romance • Paul Elmer More
... may almost say the feeling for amusement, that inspired it. Its vast many-coloured marble walls become at any rate, with this, the friendliest note of all Florence; there is an unfailing charm in walking past them while they lift their great acres of geometrical mosaic higher in the air than you have time or other occasion to look. You greet them from the deep street as you greet the side of a mountain when you move in the gorge—not twisting back your head to keep looking at ...
— Italian Hours • Henry James
... to measure, and draw a pen line with some steadiness (the geometrical exercises for this purpose being properly school, not University work), you shall have a series of studies from the plants which are of chief importance in the history of art; first from their real forms, and then from the conventional and heraldic expressions ...
— Lectures on Art - Delivered before the University of Oxford in Hilary term, 1870 • John Ruskin
... interpreting more complex thought-forms and mental states. The investigations of the Society for Psychical Research, and those of private investigators as well, have shown us that a picture of a complicated geometrical design held in the mind of one person may be carried to and received by the mind of another person, who reproduces the design on paper. In the same way, complicated thoughts have been transmitted and received. But these are only exceptional cases. In many cases this sense seems almost dead ...
— Clairvoyance and Occult Powers • Swami Panchadasi
... halls, libraries, galleries filled with family portraits; elaborate, formal bedrooms where famous sovereigns had slept, all roped off and carpeted with canvas strips to protect the floors. Through mullioned windows we caught glimpses of gardens and geometrical parterres, lakes, fountains, statuary, fantastic topiary and distant stretches of park. Maude sighed with admiration, but did not covet. She had me. But I was often uncomfortable, resenting the vulgar, gaping tourists with whom we were herded and the easy familiarity of the guides. These ...
— The Crossing • Winston Churchill
... Every phrase in his letter seemed, to Bernard, to march in stout-soled walking-boots, and nothing could better express his attachment to the process of reasoning things out than this proposal that his friend should come and make a chemical analysis—a geometrical survey—of the lady of his love. "That I shall have any difficulty in forming an opinion, and any difficulty in expressing it when formed—of this he has as little idea as that he shall have any ...
— Confidence • Henry James
... know Esperanto it may seem a dark saying that language riders can be worked out in the same way as geometrical ones. To understand this some knowledge of the language is necessary (for sample problems see Appendix A, p. 200). But for the sake of making the argument intelligible it may here be stated that one of the labour-saving, vocabulary-saving devices of Esperanto is the employment of a number ...
— International Language - Past, Present and Future: With Specimens of Esperanto and Grammar • Walter J. Clark
... or harass their minds with unaccustomed investigations. We shall, therefore, attempt to show the weakness of the elliptical arch, by arguments which appeal simply to common reason, and which will yet stand the test of geometrical examination. ...
— The Works of Samuel Johnson in Nine Volumes - Volume V: Miscellaneous Pieces • Samuel Johnson
... I had seen, a disquieting idea forced itself upon me in a geometrical form. It seemed to me that the activity and prosperity of the subjects of the Pope were in exact proportion to the square of the distance which separated them from Rome: in other words, that the shade of the monuments of the eternal city was noxious to the cultivation ...
— The Roman Question • Edmond About
... line is the characteristic of the various and beautiful figures which are seen on a genuine note. This line is produced by what is called the Geometrical Lathe. The patterns made by the geometrical lathe are of every variety of form. They are not engraved directly upon the bank-note plate, but on pieces of soft steel plate, which are afterwards hardened. The impressions are then transferred to a soft steel roller, which, ...
— Burroughs' Encyclopaedia of Astounding Facts and Useful Information, 1889 • Barkham Burroughs
... method employed to dispell the illusion. It was suggested that, at the moment of the appearance of the phenomenon, the child be requested to fixate the end of the father's index finger which was revolved, in the air, to form various geometrical figures. This had the desired effect. Clearly we have here a case of the object altering its apparent size without altering its distance. Under normal conditions a change in size is followed by a corresponding change in the distance. It is probable that we have here inadequate convergence ...
— The Journal of Abnormal Psychology - Volume 10
... Chief?" enquired Malcolm Sage, who had discarded the paper-knife and was now busy drawing geometrical figures with the thumb-nail of his right hand upon the ...
— Malcolm Sage, Detective • Herbert George Jenkins
... handed one to Coronado, and led the way into the silent Casa de Montezuma. They were in a hall about ten feet high, fifteen feet broad, and forty feet long, which evidently ran across the whole front of the building. The walls were hard-finished and adorned with etchings in vermilion of animals, geometrical figures, and nondescript grotesques, all of the rudest design and disposed without regard to order. A doorway led into a small central room, and from that doorways opened into three more rooms, ...
— Overland • John William De Forest
... may consist of a spherical lens ground with annular rings. In the next section refracting prisms may be used and in the outer section reflecting glass prisms are employed. The various elements are carefully designed according to the laws of geometrical optics. ...
— Artificial Light - Its Influence upon Civilization • M. Luckiesh
... perplexity was a part of the old problem of evil: that what daunted her was the old paradox that has confronted mankind since before the time of Job. She understood dimly that the lines between good and ill do not converge any more than unmoral geometrical parallels; but she still felt that it must be possible to limit the consequences of wrong-doing to the evil-doer so that the innocent ...
— Elsie Marley, Honey • Joslyn Gray
... out at twilight the first Sunday in April, about the time the cutworms go to roost, and take a sharp-pointed stick. We draw lines in the ground with this stick, preferably in a pleasant geometrical pattern that will confuse the birds and other observers. It is important not to do this until twilight, so that no robins or insects can watch you. Then we go back in the house and put on our old trousers, the pair that has holes in each pocket. We fill ...
— Mince Pie • Christopher Darlington Morley
... catch still more fugitive glimpses of mechanical effects, glimpses suggested by man's complex actions, no longer merely by his gestures. We instinctively feel that the usual devices of comedy, the periodical repetition of a word or a scene, the systematic inversion of the parts, the geometrical development of a farcical misunderstanding, and many other stage contrivances, must derive their comic force from the same source,—the art of the playwright probably consisting in setting before us an obvious clockwork arrangement of human events, while carefully preserving an ...
— Laughter: An Essay on the Meaning of the Comic • Henri Bergson
... right hand, represents Christ with only St. John and Judas and a third disciple whose action is precisely that described in No. 666, Pl. 4. It is hardly necessary to observe that the other sketches on this page and the lines of text below the circle (containing the solution of a geometrical problem) have no reference to the picture of the Last Supper. With this figure of Christ may be compared a similar pen and ink drawing reproduced on page 297 below on the left hand; the original is in the Louvre. On this page again the rest of the sketches have no ...
— The Notebooks of Leonardo Da Vinci, Complete • Leonardo Da Vinci
... chess, the war-lord's tactical plan, the evolution of a geometrical theorem, the devising of a great business campaign, the elimination of waste in a factory, the denouement of a powerful drama, the overcoming of an economic obstacle, the scheme for a sublime poem, and the convincing siege of an audience may—nay, indeed must—each be conceived ...
— The Art of Public Speaking • Dale Carnagey (AKA Dale Carnegie) and J. Berg Esenwein
... show some realistic motives, such as the fish, birds, and flowers in Fig. 23, No. 1; the snake and lizard in No. 2; the man in No. 5; but the strictly geometrical is dominant in nearly every case. Probably the most typical of this class of work is shown in Nos. 3 and 4 and Fig. 22, Nos. 1, 2, and 3. It should be noted, however, that, where one decorated object is seen, many more entirely plain will be found. In short, ...
— The Tinguian - Social, Religious, and Economic Life of a Philippine Tribe • Fay-Cooper Cole
... had left no instructions about me. So for two hours I sat in the waiting-room, balancing my cap on my knee, and trying to work up the spots on the dingy wall-paper into geometrical figures. ...
— Tom, Dick and Harry • Talbot Baines Reed
... can be no denial of the fact that Space is a constituent of the external world, it would seem to follow that those who hold Sensation to be the only source of our Knowledge must be obliged to affirm the possibility of sensations of Space. Mach indeed claims to distinguish physiological Space, geometrical Space, visual Space, tactual Space as all different and yet apparently harmoniously blended in our Experience. He is, however, sadly wanting in clearness of statement. He never tells us when and where exactly we do have a sensation of Space. ...
— Essays Towards a Theory of Knowledge • Alexander Philip
... soul-history, a sketch of the affecting drama of a man who attains to the conquest of himself, with Bonaventura all this interior action disappears before divine interventions; his heart is, so to speak, the geometrical locality of a certain number of visitants; he is a passive instrument in the hands of God, and we really cannot see why he should have been chosen rather ...
— Life of St. Francis of Assisi • Paul Sabatier
... be; Some with the quadrate, some triangle fashion, Some circular, some oval in translation; Some perpendicular in longitude; Some like a thicket for their crassitude; That heights, depths, breadths, triform, square, oval, round, And rules geometrical in Beards ...
— At the Sign of the Barber's Pole - Studies In Hirsute History • William Andrews
... to be hoped, on the way to free itself finally from the ugliness of "carpet bedding"—when plants are largely grouped and massed instead of being placed in alternate kinds at regular intervals in geometrical patterns. Present day taste with its appreciation of garden colour, of masses and groups of particular kinds, instead of isolated plants dotted about with irritating regularity, is found beautifully exemplified in the numerous beds ...
— Hampton Court • Walter Jerrold
... fortuitous, but systematic, the atoms forming different compounds by varying their arrangement. But still this is only an hypothesis, wholly gratuitous; an hypothesis which explains nothing, and has not even the merit of being logical. Why does a purely NUMERICAL or GEOMETRICAL difference in the composition and form of atoms give rise to PHYSIOLOGICAL properties so different? If atoms are indivisible and impenetrable, why does not their association, confined to mechanical effects, leave them unchanged in essence? Where is ...
— The Philosophy of Misery • Joseph-Pierre Proudhon
... geometrical calculations, and then, by the aid of a barometer, when an ascent has been made. The column of mercury in the instrument falls in proportion as the barometer is carried up the mountain, because the air which presses upon the mercury reservoir ...
— Adventures of a Young Naturalist • Lucien Biart
... in the course of years raised above the caverns which concealed Egypt's mysteries. Everything was gradually accumulated in these underground store-houses,—the engraved talismans, the slabs of stone on which were deeply carved the geometrical and astronomical sciences; indestructible glass chests containing papyri, on which were written the various discoveries made in beneficial drugs, swift poisons, and other medicines. And among these many things were thirty great jars ...
— Ziska - The Problem of a Wicked Soul • Marie Corelli
... at which a loan increases, accelerating in geometrical progression as time passes. Any loan will double itself at three per cent. in twenty-three and a half years; at seven per cent. in ten and a fourth years, and at ten per cent. in seven and a third years. One dollar loaned for one hundred years, at three per ...
— Usury - A Scriptural, Ethical and Economic View • Calvin Elliott
... is fully developed geometrical Decorated work. It is loftier than the transepts, and its roof is low pitched. The main part of the rebuilding seems to have been done between 1298 and 1320. The indenture for glazing the great west window is still extant, ...
— The Cathedral Church of York - Bell's Cathedrals: A Description of Its Fabric and A Brief - History of the Archi-Episcopal See • A. Clutton-Brock
... and from ideas and numbers to persons,—from the heavens to man, from astronomy to physiology; he confuses, or rather does not distinguish, subject and object, first and final causes, and is dreaming of geometrical figures lost in a flux of sense. He contrasts the perfect movements of the heavenly bodies with the imperfect representation of them (Rep.), and he does not always require strict accuracy even in applications of number and figure (Rep.). His mind lingers around the forms of mythology, ...
— Timaeus • Plato
... discoveries, some very interesting researches have been made in Egyptian paleography in what is known as the signary.* We reach signs which seem to be disconnected from the known hieroglyphs, and we are probably touching on the system of geometrical signs used from prehistoric to Roman times in Egypt, and also in ...
— History Of Egypt From 330 B.C. To The Present Time, Volume 12 (of 12) • S. Rappoport
... against,—the least sign of hesitation or uncertainty,—the very danger every European with knowledge of the situation had dinned in our ears. Everybody declared that difficulties were sure to grow on our hands in geometrical proportion to our delays; and it was perfectly known to the respective branches of our Government primarily concerned that while the delay went on it was in neglect of a ...
— Problems of Expansion - As Considered In Papers and Addresses • Whitelaw Reid
... invention. One pattern follows another with infinite diversity. Even the alcoves, and there are nine, are covered each with different designs, so that the mind is bewildered by their graceful ingenuity. All kinds of geometrical figures are used, enlacing with graceful intricacy, intersecting, combining and dissolving; conventional foliage and fruit, Arabic inscriptions. An industrious person has counted more than one hundred and ...
— The Land of The Blessed Virgin; Sketches and Impressions in Andalusia • William Somerset Maugham
... the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should demonstrate our possession of a reasonable intelligence.... Now, suppose I ... I might draw the geometrical figure with a wet finger, or even trace ...
— The First Men In The Moon • H. G. Wells
... elevation, which speaks volumes in their behalf. We anticipated at the close of the last Convention, a larger representation and an increased number of delegates; we were not deceived, the number has been tenfold. And we have a right to expect that future Conventions will be increased by a geometrical ratio, until we shall present a body not inferior in numbers to our State Legislatures, and the phenomenon of an oppressed people, deprived of the rights of citizenship, in the midst of an enlightened nation, devising ...
— History of the Negro Race in America from 1619 to 1880. Vol. 2 (of 2) - Negroes as Slaves, as Soldiers, and as Citizens • George Washington Williams
... gravest consideration. Nor should it escape our careful notice that the regulations on which all the laws of matter operate, are established on a rigidly accurate mathematical basis. Proportions of numbers and geometrical figures rest at the bottom of the whole. All these considerations, when the mind is thoroughly prepared for them, tend to raise our ideas with respect to the character of physical laws, even though ...
— Vestiges of the Natural History of Creation • Robert Chambers
... dedicated—one to S. Faith and S. Thomas the Apostle, one to our Lady of Bolton and the other to our Lady of Houghall. The north transept is closed by a large window, which is the work of Prior Fossor, probably about the year 1362. The window is of six lights, and the head contains late geometrical tracery. The architectural feature of this window, especially for its date, is the transom which crosses the mullions, and which is not visible from the exterior. Below the transom is a second inner set of mullions supporting a small gallery, by means of which ...
— Bell's Cathedrals: The Cathedral Church of Durham - A Description of Its Fabric and A Brief History of the Episcopal See • J. E. Bygate
... attendance in the sick-room. There being little or nothing to do, she seemed to spend her time smoothing the wrinkles from the counterpane. Louise lay under a field of virgin white, folded back at an angle of geometrical exactness, and necessitating a readjustment every time ...
— The Circular Staircase • Mary Roberts Rinehart
... We are all now convinced of the existence of America; and so, some three or four hundred years back, was Christopher Columbus—but nobody else. Alone, he proved that mighty continent so probable, from geometrical measurements, and the balance of the world, and tides, and trade-winds, and casual floatsams driven from some land beneath the setting sun, that he was antecedently convinced of the fact: and it would have been a shock to his reason, as well as to his faith, had he found himself able ...
— The Complete Prose Works of Martin Farquhar Tupper • Martin Farquhar Tupper
... taken from Dr. Oudemann's determinations given in a valuable paper on Mars issued from Mr. Bishop's observatory. But instead of calculating Mars' presentation by the formulae there given, I found it convenient rather to make use of geometrical constructions applied to my 'Charts of the Terrestrial Planets.' Taking Maedler's start-point for Martial longitudes, that is the longitude-line passing near Dawes' forked bay, I found that my results agreed pretty fairly with those ...
— Half-hours with the Telescope - Being a Popular Guide to the Use of the Telescope as a - Means of Amusement and Instruction. • Richard A. Proctor
... sometimes danced along the floor, more commonly sailed gently along, or "moved as if borne on gently heaving waves." This sort of thing was repeated during six weeks. One piece of wood "came from a distant corner of the room towards me, describing what may be likened to a geometrical square, or corkscrew of about eighteen inches diameter.... Never was a piece seen to come in at the doorway." Mr. Bristow deems this period 'the most remarkable episode in my life.' (June 27, 1891.) The phenomena 'did not depend on the presence ...
— The Making of Religion • Andrew Lang
... so little tact as to give their true opinion when it was asked this would be a miserable world. I asked you because I wanted you to lie. I expected it of you. I needed bolstering up. I realize that the rent I'm paying and the flat I'm getting form a geometrical problem where X equals the unknown quantity and only the agent knows the answer. But it's going to be a home for Jock and me. It's going to be a place where he can bring his friends; where he can have ...
— Roast Beef, Medium • Edna Ferber
... inhabitants had substituted the cultivation of vegetables for which they found a market on the continent and in England; and the numerous cultivated patches along the mountain sides presented a very pretty appearance from the anchorage—laid out as they were with seemingly geometrical precision. The hardy little horses could be hired very cheaply, and the justly extolled natural beauties of the island in the vicinity of Funchal were fully explored. The greater portion of it is quite inaccessible except on foot, but the tough little native ponies which are as sure footed ...
— The Narrative of a Blockade-Runner • John Wilkinson
... the ornaments of baskets, pottery, and all rounded objects; and (2) all distortion, disintegration, degradation of pattern- motives, often so marked as all but to destroy their meaning, is in the direction of geometrical symmetry. The early art of all civilized nations shows the same characteristic. Now it might be said that, as there exists an instinctive tendency to imitate visual forms by motor impulses, the ...
— The Psychology of Beauty • Ethel D. Puffer
... and a bowery walk, all in good taste. Here hundreds of tourists pass a portion of "the season," as in a "loop-hole of retreat." In the front of the inn, however, the stream of life glides fast; and a little past it, the road crosses the Mole by Burford Bridge, and winds with geometrical accuracy through the whole of this ...
— The Mirror of Literature, Amusement, and Instruction - Vol. 12, Issue 337, October 25, 1828. • Various
... what I had seen, a disquieting idea forced itself upon me in a geometrical form. It seemed to me that the activity and prosperity of the subjects of the Pope were in exact proportion to the square of the distance which separated them from Rome: in other words, that the shade of the monuments of the eternal city was noxious to the cultivation of the ...
— The Roman Question • Edmond About
... branched passages, where, in comparative slack water, the siege of the caves was resumed. For hour after hour this went on, the invaders dying by hundreds, but increasing by thousands and ten thousands, as the geometrical progression advanced, until, with swimming-spaces nearly choked by their bodies, living and dead, there came the inevitable turn in the tide of battle. A white monster ...
— "Where Angels Fear to Tread" and Other Stories of the Sea • Morgan Robertson
... They frequently show the greatest skill and cunning in the construction of their webs and the capture of their prey, and naturalists say that the spider has a very well developed brain. They must certainly have a geometrical talent, or they could not arrange their webs with such regularity and scientific accuracy. Some spiders will throw their webs across streams ...
— Round-about Rambles in Lands of Fact and Fancy • Frank Richard Stockton
... in detail. In every branch, from the most solid to the most sentimental, she was victorious. For machinery a million of gamins beat a million of Cockneys in the proportion of seven to six; in the economical and chemical arts, four to one; in the geographical and geometrical, eight to three; and in the fine arts, Waterloo was reversed to the ...
— Lippincott's Magazine, Vol. XVII, No. 99, March, 1876 • Various
... getting somewhat used to the prevalence in the West of those figurative forms of expression which we call slang. So he took it for granted that "square meals" were for some reason preferable to meals of any other geometrical form, and answered simply that he would look up Mrs. Deming's house after ...
— A Captain in the Ranks - A Romance of Affairs • George Cary Eggleston
... dressed in those geometrical, undulations without which no New York audience feels itself clothed. They saw Pinky less frequently as time went on and her feeling or responsibility lessened. Besides, the magazine covers took most of her day. She gave a tea for her father and mother at her own studio, and Mrs. ...
— O Henry Memorial Award Prize Stories of 1919 • Various
... this continuity society may learn, as the individual organism does, by the method of trial and error. Costly blunders need not be repeated, and the waste involved {144} in untried experiments may steadily be reduced. Furthermore, the advance is by geometrical, and not merely by arithmetical progression. Every discovery and achievement is multiplied in fruitfulness through being added to the capital stock and reinvested in ...
— The Moral Economy • Ralph Barton Perry
... back to bygone times, while I, not wishing to interrupt her, had taken the poker in my hand and with it was tracing geometrical figures in the peat-ash on the hearthstone. So absorbed was I in my circles and pentagons that I did not notice that Grannie had stopped short in her story, and was taking a lively interest in what I was doing. It was with no little surprise, therefore, that ...
— More Tales of the Ridings • Frederic Moorman
... Demerara. On the Spanish part of the American continent, land is measured by fanegas, each fanega containing twelve quarrees, and each quarree five and one-fifth English acres. A quarree measures one hundred geometrical paces, or three ...
— The Commercial Products of the Vegetable Kingdom • P. L. Simmonds
... who work with so many learned theories, have been less successful in discovering the real facts about animals than of laymen, largely because the scientists have not yet learned that arithmetical notions are more difficult than geometrical ones. Our industrial civilisation has caused us to lose the idea of the insignificance that number has in animal life compared to the idea of size. Most animals have a remarkable sense of size; they measure time and distance better than civilised man. A hyena, for example, knows just how ...
— The Human Side of Animals • Royal Dixon
... and in all his relations with the world, a pure and upright man. He had begun an investigation, as he imagined, with the severe and equal integrity of a judge, desirous only of truth, even as if the question involved no more than the air-drawn lines and figures of a geometrical problem, instead of human passions, and wrongs inflicted on himself. But, as he proceeded, a terrible fascination, a kind of fierce, though still calm, necessity, seized the old man within its gripe, and never set him free again, ...
— The Scarlet Letter • Nathaniel Hawthorne
... blending classic influence with Tuscan instinct. The roof of the Sistine was destined to exhibit to an awe-struck world what wealths of originality lay in the artist thus gifted, and thus swayed by rival forces. For the present, it may be enough to remark that, in the geometrical proportions of this bas-relief, which is too high for its length, Michelangelo revealed imperfect feeling for antique principles; while, in the grouping of the figures, which is more pictorial than sculpturesque, he already betrayed, what remained with him a defect ...
— The Life of Michelangelo Buonarroti • John Addington Symonds
... and strangers of distinction. The house stands opposite the church; and has behind it a spacious garden, arranged in a somewhat formal style, with box-edgings to the walks, and summer-houses and other ornaments in the old geometrical style of gardening. This was open to the people, of course; and here the band played on summer evenings, or more frequently on Sunday afternoons; and here, too, flowers were cultivated, I ...
— The Communistic Societies of the United States • Charles Nordhoff
... swerved, ever more and more influenced by the Orient, for Rome, always successful in war, had established colonies in the East. Soon Byzantine art reached Rome, bringing its arabesques and geometrical designs, its warm, glowing colours, soft cushions, gorgeous hangings, embroideries, and rich carpets. In fact all the glowing luxury that ...
— The Art of Interior Decoration • Grace Wood
... martial cloak around him. If Edinburgh be the Athens of Scotland, Aberdeen is its Sparta. And yet after a while Aberdeen becomes a weariness and an abomination. For you discover that it is one endless series of geometrical diagrams. The pavements run in parallel lines, the houses are rectilineal, the gardens are squares or oblongs; if by chance the land sprawls in billocks and hollows, nevertheless is it partitioned in rigid lines. The architecture is equally austere. ...
— Without Prejudice • Israel Zangwill
... course, the distance of this point from Y is the mean side shift of the hatchet; this distance measured from the zero of the scale on the back of the instrument is the area of the figure in square inches. The scale is read in exactly the same manner as a geometrical scale on a drawing, the whole numbers being read to the right of the zero and the decimals to the left. The instrument does not profess to give results nearer than ...
— Scientific American Supplement, No. 1082, September 26, 1896 • Various
... Barkuk in the cemetery of Kait Bey, are instances of the second and more matured style of the period. The simple plain ashlar masonry still predominates, but the wall surface is broken up with sunk panels, sometimes with geometrical patterns in them. The principal characteristics of this second period are the magnificent portals, rising sometimes, as in the mosque of sultan Hasan, to 80 or 90 ft., with elaborate stalactite vaulting at the top, and the deep stalactite cornices which crown the summit of the building. ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various
... be obvious, to every child in Spaceland who has touched the threshold of Geometrical Studies, that, if I can bring my eye so that its glance may bisect an angle (A) of the approaching stranger, my view will lie as it were evenly between his two sides that are next to me (viz. CA and AB), so that I shall contemplate the two ...
— Flatland: A Romance of Many Dimensions (Illustrated) • Edwin A. Abbott
... reloaded on board ten of our ships to be sent to London, one Mr Robert Adams, a man of excellent skill, took the exact bigness, height, length, breadth, and other dimensions of this huge vessel, that these might be preserved according to the exact rules of geometrical proportions, both for present knowledge and transmission to posterity, omitting nothing which either his art could demonstrate, or any mans judgment think worthy of being known. After an exact survey of the whole frame, he found the ...
— A General History and Collection of Voyages and Travels, Volume VII • Robert Kerr
... either an indefinite increase of knowledge or a growing mastery of the forces of nature. In the period in which their most brilliant minds were busied with the problems of the universe men might improve the building of ships, or invent new geometrical demonstrations, but their science did little or nothing to transform the conditions of life or to open any vista into the future. They were in the presence of no facts strong enough to counteract that profound veneration of antiquity which seems natural to mankind, and the Athenians of the ...
— The Idea of Progress - An Inquiry Into Its Origin And Growth • J. B. Bury
... beautiful and pliable forms all over the earth, in fountains, water-falls, dew, rain-drops; and, when it cannot 'stand before His cold,' it comes down softly upon us, in crystal asteroids and all the geometrical forms of snow. I love to think that God has associated that beautiful element, the water, with religion. And now it does not seem accordant with the works and ways of Him, of whom we say, 'How great is his goodness, how great is his beauty,' ...
— Bertha and Her Baptism • Nehemiah Adams
... ceiling. The frieze of the lower part rested on rude stone caryatides; the upper part was formed of oak panels very curiously carved in the geometrical designs favoured by the taste prevalent in the reigns of Elizabeth and James, but different from any I had ever seen in the drawings of old houses,—and I was not quite unlearned in such matters, for my poor father was a passionate antiquary ...
— A Strange Story, Complete • Edward Bulwer-Lytton
... studied mathematics in Paris according to the analytical method, instead of the geometrical, which was at that time exclusively taught ...
— The Diary and Letters of Madame D'Arblay Volume 3 • Madame D'Arblay
... colored print portraying a blue sea, spread with rank upon rank of accurately measured waves, each with its tiny cap of foam, stretching without diminution to the horizon, upon which was perched a full-rigged ship, a geometrical triumph; and from this vessel came by small-boat to the strand a company of accurately moulded, accurately featured, accurately tailored fellows, pulling with perfect accuracy in every respect. I shall never forget the geometrical ...
— The Cruise of the Shining Light • Norman Duncan
... pure doctrinaires there were a good many painters who, without reducing their forms to geometrical abstractions, by modifying them in accordance with Cubist theory gave a new and impressive coherence to their compositions. Of them the best known, in England at all events, is Jean Marchand, whose admirable work has been admired here ...
— Since Cezanne • Clive Bell
... adhere to form, though the pattern must be elaborate enough to hide its scheme from the casual reader, and sufficiently elastic to provide space for sentiment and pathos. In his sixty-eighth poem Catullus employs what might be called a geometrical pattern, in fact a pyramid of unequal steps. He mounts to the central theme by a series of verses and descends on the other side by a corresponding series. In the sixty-fourth poem, however, the epyllion ...
— Vergil - A Biography • Tenney Frank
... belonged to Spinoza, along with the ancient Eleatics, the Neo-Platonists of the early ages, and the principal schools of modern German philosophy. Accordingly he tried to work out with mathematical rigour in geometrical form a philosophy of existence, conceiving that the mind grasps the idea of God as infinite substance, and understands its development under two modes; viz. extension and thought: the former the objective act of Deity, the latter the subjective.(338) The universe therefore ...
— History of Free Thought in Reference to The Christian Religion • Adam Storey Farrar
... removed to the Cape Town museum. It is thought that they represent vultures, and the vulture was a bird of religious significance among some of the Semitic nations. Fragments of soapstone bowls were discovered, some with figures of animals carved on them, some with geometrical patterns, while on one were marks which might possibly belong to some primitive alphabet. There were also whorls somewhat resembling those which occur so profusely in the ruins of Troy, and stone objects which may be phalli, though some ...
— Impressions of South Africa • James Bryce
... lighted it and flipped the match into the campfire. He smoked it down to the last inch, staring into the fire and saying nothing the while. When the cigarette stub followed the match, he leaned back upon one elbow and began tracing a geometrical figure in the sand ...
— The Trail of the White Mule • B. M. Bower
... dream for years of immeasurable distances, and what is beyond and beyond and beyond, and all that nonsense. The great beauty of astronomy is not what is incomprehensible in it, but its comprehensibility—its geometrical ...
— Miriam's Schooling and Other Papers - Gideon; Samuel; Saul; Miriam's Schooling; and Michael Trevanion • Mark Rutherford
... Her hands, though too thin, are rather pretty and aristocratic, and weighted heavily with odd-looking rings. Her foot is not too large for her slipper. Uncommon thing! for women, in regard to their shoes, have falsified the geometrical axiom: the receptacle should be greater than ...
— The Cross of Berny • Emile de Girardin
... France is so singularly auspicious? Is our monarchy to be annihilated, with all the laws, all the tribunals, and all the ancient corporations of the kingdom? Is every landmark of the country to be done away in favor of a geometrical and arithmetical constitution? Is the House of Lords to be voted useless? Is Episcopacy to be abolished? Are the Church lands to be sold to Jews and jobbers, or given to bribe new-invented municipal republics into a participation in ...
— The Works of the Right Honourable Edmund Burke, Vol. III. (of 12) • Edmund Burke
... literature became accessible to churchmen. Afterwards, the physics of Galileo and of Newton began not only to undermine numerous superstitions, but to give to men a confidence in the reality of abstract truth, and in our power to attain it in other domains than that of geometrical demonstration. This, together with the philosophy of Locke, was taken up into Christian thought, and Political Toleration was the first fruit. Beyond that point, English religion has hardly gone. For in spite of all that has since ...
— Phases of Faith - Passages from the History of My Creed • Francis William Newman
... practical mechanics all the manual arts belong, from which mechanics took its name. But as artificers do not work with perfect accuracy, it comes to pass that mechanics is so distinguished from geometry, that what is perfectly accurate is called geometrical; what is less so is called mechanical. But the errors are not in the art, but in the artificers. He that works with less accuracy is an imperfect mechanic: and if any could work with perfect accuracy, he would be the most perfect mechanic of all; for the description of right lines ...
— Prefaces and Prologues to Famous Books - with Introductions, Notes and Illustrations • Charles W. Eliot
... seemed to reflect uneasily; but he said at length that he 'would see about it,' and, with a rough bow, got out of the room. That night no hilarious sounds came from the kitchen. On Sunday morning, when Miss Rodney went into her sitting-room, she found on the table the wooden geometrical forms, excellently made, just as she wished. Mabel, who came with breakfast, was bidden to thank her father, and to say that Miss Rodney would like to speak with him again, if his leisure allowed, after tea-time on Monday. At that hour the carpenter did not fail ...
— The House of Cobwebs and Other Stories • George Gissing
... consists in proportion, and no doubt this is one of the conditions of beauty, but only one. An ill-proportioned object cannot be beautiful, but the exact correspondence of parts, as in geometrical figures, does ...
— The Works of Frederich Schiller in English • Frederich Schiller
... faculties, united in one individual, had not been already in itself a character, and had not constituted a well-marked distinct personality, almost unique in kind, Moore would have been at variance with the most profound moralists, who agree that human nature never has the simplicity of a geometrical figure, and that, in reality, characters always are mixed, complicated, composed of opposite elements of incompatible inclinations and passions. For Moore appears to think that men are almost always swayed by one chief passion, round which, as round a pivot, life unrolls itself, just as we see ...
— My Recollections of Lord Byron • Teresa Guiccioli
... same year, and the death of the great Frederick in 1786. These names mark the physical and intellectual coming of age of Germany. Lessing died misunderstood and feared by the card-board literary leaders of his day, men who still wrote and thought with the geometrical instruments handed them from France; Kant attempted to push philosophical inquiry beyond the bounds of human experience, and Frederick left Prussia at last not ashamed to be Prussia. Napoleon was eighteen years ...
— Germany and the Germans - From an American Point of View (1913) • Price Collier
... series of segments of a screw attached to a thin broad hoop supported by arms so twisted as also to form part of a screw. The propeller subsequently applied to the steamship 'Princeton' was identical with my said design of 1835. Even the mode adopted to determine, by geometrical construction, the twist of the blades and arms of the 'Princeton's' and other propellers was identical with my design ...
— Beacon Lights of History, Volume XIV • John Lord
... Now I am at one with Lord Foppington, and much disposed to take pleasure in the natural sprouts of my own wit—without troubling whether the same idea has occurred to others. Suppose me, in total ignorance of Euclid, to have discovered even the simplest of his geometrical demonstrations, shall I be crestfallen when some one draws attention to the book? These natural sprouts are, after all, the best products of our life; it is a mere accident that they may have no value in the world's market. One of my conscious efforts, in these days of freedom, is to live intellectually ...
— The Private Papers of Henry Ryecroft • George Gissing
... jasper, carnelian, lapis-lazuli, agate, turquoise, bloodstone, malachite and other precious materials in the form of foliage, flowers, ornamental scrolls, sentences from the Koran in Arabic letters and geometrical patterns. The decoration is as beautiful and as rich as the Taj Mahal, so far as it goes, and was done by the ...
— Modern India • William Eleroy Curtis
... glass; and Deity the invisible force, which keeps the instrument in motion. Each revolution produces a different pictorial figure, which, complete in its harmony of parts, is perfect in its mathematical proportions, and beautiful in its geometrical designs. And yet each creation, each form, and each combination of forms, are produced by the same little pieces of glass; and all of them, in reality, are optical illusions; i.e., natural phenomena, which deceive the physical senses. So it is with ...
— The Light of Egypt, Volume II • Henry O. Wagner/Belle M. Wagner/Thomas H. Burgoyne
... light; the rings of lovely shadow which the creature went on making in the dark, as the oyster its opaline laminations, and its tree-pearls of beautiful knots, where a beneficent disease has broken the geometrical perfection of its structure, gloom out ...
— A Dish Of Orts • George MacDonald
... Revelation alike contributed to the flood; and it was long ere my ark touched on an Ararat, and rested. The idea of the Supreme Being appeared to me to be as necessarily implied in all particular modes of being as the idea of infinite space in all the geometrical figures by which space is limited. I was pleased with the Cartesian opinion, that the idea of God is distinguished from all other ideas by involving its reality; but I was not wholly satisfied. I began then to ask myself, ...
— Biographia Literaria • Samuel Taylor Coleridge
... of loneliness that sharpens into resentment. I am widowed by the loss of the higher half of your entity. Can you not see, Philip, it is not your views I combat, your theory about humanitarianism and all that? They are but the geometrical figures of thought in your mind; and I have no wish to disturb your "philosophic proposition." The point is, I love that in you more than I love the lover. And the passion with which you cling to it as something ...
— The Jessica Letters: An Editor's Romance • Paul Elmer More
... excellent sextant, pocket chronometer, and artificial horizon. I have to lament that our mountain barometers were broken at an early stage of the expedition; the height however of some principal points had been previously obtained, and is marked on the chart; these in two instances were verified by geometrical measurement, and the difference was found to be too trilling to be noticed. The conveyance of such delicate instruments is always attended with great risk, and in our case peculiarly so, our means being only those of horseback. I am afraid that a method of constructing ...
— Journals of Two Expeditions into the Interior of New South Wales • John Oxley
... is known, such as that in plate LXXI, is similar in design and method of execution to that shown in the other plates. There is one point, however, in which the Roman work is quite different. In Sicily and southern Italy the bands and borders of geometrical patterns are largely made up of glass or composition, while the Cosmati confined themselves to the use of colored marbles. In the south, and particularly in Sicily, gold is freely used, but this is lacking in the work of the Cosmati. As a result ...
— The Brochure Series of Architectural Illustration - Vol 1, No. 9 1895 • Various
... that I could be in either place by a sort of mental shift, something like staring at one of the geometrical optical illusions you can find in any psychology textbook in the chapter on illusions, and seeing it become ...
— The Gallery • Roger Phillips Graham
... illustrate the more common classes of appearances. The list, however, might be indefinitely expanded from the experience of any experienced occultist, and is not intended to be full by any means. All varieties of geometrical forms are found among the thought forms, some of them being of ...
— The Human Aura - Astral Colors and Thought Forms • Swami Panchadasi
... verkosxtelisto. Plague pesto—ego. Plague-stricken (person) pestulo. Plain malbela. Plain senornama. Plainly simple, klare. Plainness simpleco. Plaint plendo. Plaintive plenda. Plait (with straw) pajloplekti. Plait plekti. Plait plektajxo. Plait (hair) harligo. Plan plano. Plan (geometrical) plato. Plane raboti. Plane (tool) rabotilo. Planet planedo. Plank tabulo. Plant planti. Plant kreskajxo. Plantation plantejo. Plaster plastro, gipso. Plastron brustosxirmilo. Plate stanumi. Plate telero. Plate (stereotype) klisxajxaro, ...
— English-Esperanto Dictionary • John Charles O'Connor and Charles Frederic Hayes
... she had kissed away all feeling of cold from his body, and his heart was a lump of ice. He was dragging along some pointed flat pieces of ice, which he laid together in all possible ways, for he wanted to make something with them; just as we have little flat pieces of wood to make geometrical figures with, called the Chinese Puzzle. Kay made all sorts of figures, the most complicated, for it was an ice-puzzle for the understanding. In his eyes the figures were extraordinarily beautiful, and of the ...
— Andersen's Fairy Tales • Hans Christian Andersen
... and the Greeks hung geometrical forms over their cradles, so as to strike the eyes of the child with lawful relations. Froebel introduces colored balls for the same purpose, which, considering the psychological and emotional condition of the child, leads to the joyful conception of motion, ...
— Froebel's Gifts • Kate Douglas Wiggin
... power as one; each would thrill with life. This is only the D of the alphabet of power. And glancing up to the other suns, one hundred, five hundred, twelve hundred times as large, double, triple, septuple, multiple suns, we shall find power enough to go through the whole alphabet in geometrical ratio; and then in the clustered suns, galaxies, and nebulae, power enough still unrepresented by single letters to require all combinations of the alphabet of power. What is the significance of this single element of power? The answer of science to-day is "correlation," the constant evolution ...
— Recreations in Astronomy - With Directions for Practical Experiments and Telescopic Work • Henry Warren
... eggs laid varies with the size of the animal. The law of production may be arithmetically expressed as follows: The number of eggs produced at each reproductive period varies in a geometrical series, while the length of lobsters producing these eggs varies in an arithmetical series. According to this law an 8-inch lobster produces 5,000 eggs, a lobster 10 inches long 10,000, a 12-inch lobster 20,000. This high rate of production is not maintained beyond the length of ...
— The Lobster Fishery of Maine - Bulletin of the United States Fish Commission, Vol. 19, Pages 241-265, 1899 • John N. Cobb
... art; to him Varro propounded to cast Romulus's nativity, even to the first day and hour, making his deductions from the several events of the man's life which he should be informed of, exactly as in working back a geometrical problem; for it belonged, he said, to the same science both to foretell a man's life by knowing the time of his birth, and also to find out his birth by the knowledge of his life. This task Tarrutius undertook, and first looking into the actions and casualties ...
— Plutarch's Lives • A.H. Clough
... began to understand that all ideas, all reason and philosophy, are the result of outer impression. The primal language of our minds is in the concrete. Afterwards it becomes the cypher, and even at its highest it is expressed by angles, lines, and geometrical forms—substances and allusive shapes. But now, as the scene shifted by, I had involuntarily thrust forward my hands as did the girl when she passed out into the night, and, in doing so, touched the curtain of my cabin door swinging in towards me. I recovered myself, ...
— The Judgment House • Gilbert Parker
... Proportion.—Definite proportion of elements (Chemistry), symmetrical arrangement of parts (Crystallography), numerical and geometrical relation of the forms and movements of the heavenly bodies (Spherical Astronomy), all of which are capable ...
— Christianity and Greek Philosophy • Benjamin Franklin Cocker
... illustrated by the scene spread out beneath us. Seen from a balloon the streets of a rambling town resolve themselves into beautifully defined curves, straight lines, and various other highly respectable geometrical shapes. ...
— Faces and Places • Henry William Lucy
... triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should demonstrate our possession of a reasonable intelligence.... Now, suppose I ... I might draw the geometrical figure with a wet finger, or even ...
— The First Men In The Moon • H. G. Wells
... turn of the argument, to prevent the vessel of the state from being hurried forward with the progress of improvement, and dashed in pieces down the tremendous precipice of human perfectibility. Then comes Mr. Malthus forward with the geometrical and arithmetical ratios in his hands, and holds them out to his affrighted contemporaries as the only means of salvation. "For" (so argued the author of the Essay) "let the principles of Mr. Godwin's Enquiry and of ...
— The Spirit of the Age - Contemporary Portraits • William Hazlitt
... to well-defined laws, elaborates its structure into a crystal of great beauty, so does the protoplasm elaborate itself into the most beautiful of all structures—the cell unit. Just as gold and copper crystallizes in a geometrical form, a cube—bismuth and antimony in a hexagonal, iodine and sulphur in a rhombic form—so we find among radiolaria, and among other protista and lower forms, that they "may be traced to a mathematical, fundamental form, and whose form in its whole, as well ...
— Was Man Created? • Henry A. Mott
... placed the "zirs," while several doors lead to the harim, as the ladies' quarters are called, and the various offices and reception-rooms of the house. These doors are always panelled in elaborate geometrical designs, and the principal one, which is reached by a short flight of stone steps, is set in a lofty recess, the trefoil head of which is richly carved. This gives access to the reception-room on the first floor. One side is entirely open to ...
— Peeps at Many Lands: Egypt • R. Talbot Kelly
... very sweet life here, Madame [Madame d'Argental, an outside party]: it would have been more so, if Maupertuis had liked. The wish to please, is no part of his geometrical studies; the problem of being agreeable to live with, is not one he has solved." [—OEuvres de Voltaire,—lxxiv. 330, 504 (4th May, 1751, and 14th March, 1752), to the D'Argentals; to Niece Denis (6th ...
— History of Friedrich II. of Prussia, Vol. XVI. (of XXI.) - Frederick The Great—The Ten Years of Peace.—1746-1756. • Thomas Carlyle
... as many as five hundred houses; but, as these ate all, or nearly all, houses which would cost 20U or more ducados in this court, they occupy as much space as would a city of two thousand inhabitants here. For the wall, as measured by me, is 2U250 geometrical pasos in circumference, at five tercias for each paso, which makes three quarters of a legua. [53] In all these islands there are none unconverted except the Zambales, as I have said above, and those in the mountains where the mines are, and a few villages behind these ...
— The Philippine Islands, 1493-1898 • Emma Helen Blair
... not know what to say. To get a word to August was what she most desired. But the thought of using Humphreys was repulsive to her. She could not see his face in the gathering darkness, but she could feel him smile that same soulless, geometrical smile. She could not do it. She did not know what to say. So she said nothing. Humphreys saw that he must ...
— The End Of The World - A Love Story • Edward Eggleston
... precise curves realized without instruments of any kind by the Coleoptera and Hymenoptera in cutting leaves, the stereometry of the aphides. Then, as it were, at the bottom of the scale (if one may still speak of a descent and a bottom) the marvellous plancton filters of the Appendiculata; the geometrical spots of the Amoebae; the cases of perfect forms of so many other Protozoa; and, finally, think of the constructive technic of the static organs, or of those of movement either in man or animals or plants; think of the complex mathematics of the ...
— Lola - The Thought and Speech of Animals • Henny Kindermann
... adorning linen was practised from the earliest times. Threads were drawn and fashioned with the needle, or the ends of the cloth unravelled and plaited into geometrical patterns. St. Cuthbert's curious grave-clothes, as described by an eyewitness to his disinterment in the twelfth century, were ornamented with cut-work, which was used principally for ecclesiastical purposes, and was looked upon in ...
— The Atlantic Monthly, Volume 18, No. 107, September, 1866 • Various
... life in chopping down acorn trees and the other splitting them up into rails. Washington could not tell a story. Lincoln always could. [Laughter.] And Lincoln's stories always possessed the true geometrical requisites, they were never too long, and never too broad. [Laughter.] He never forgot a point. A sentinel pacing near the watchfire while Lincoln was once telling some stories quietly remarked that "He had a mighty powerful memory, but ...
— Modern Eloquence: Vol III, After-Dinner Speeches P-Z • Various
... with painful candour, for I longed to see the pictures he had spoken of, "group themselves into globes and round balls of fire, and the lines that flash about sometimes look like triangles and crosses—almost like geometrical figures. Nothing more." ...
— Three John Silence Stories • Algernon Blackwood
... moment my attention was drawn to an unexpected sight. At a distance of five hundred paces, at the turn of a high promontory, appeared a high, tufted, dense forest. It was composed of trees of moderate height, formed like umbrellas, with exact geometrical outlines. The currents of wind seemed to have had no effect upon their shape, and in the midst of the windy blasts they stood unmoved and firm, just like ...
— A Journey to the Interior of the Earth • Jules Verne
... seminary for the training of teachers, and a school for teaching the different branches of industrial drawing. There are free-hand drawing from copies and plaster models, perspective and geometrical drawing, the drawing and painting of ornamental and practical designs, and flower-painting on wood, china, and paper, with thorough courses of one and two years in the History of Art. Modelling in clay, wax, and designs ...
— In and Around Berlin • Minerva Brace Norton
... among other things, he said: "I'm glad you've got your garden so wild and natural—nothing clipped and trimmed, no rectangles, circles, or other geometrical figures, from which one deduces at once that one has to do with men of a very low grade of intelligence. To take delight in squares and circles is a bad sign. Who wants to have intercourse with cave-men? No—you've got a very ...
— The German Classics of the Nineteenth and Twentieth Centuries - Masterpieces of German Literature Vol. 19 • Various
... romance called Marcos de Obregon. "The doctor was a tall, meagre, pale man, who had kept the shears of Clotho employed for forty years at least. He had a very solemn appearance, weighed his discourse, and used 'great pomp of words.' His reasonings were geometrical, and his opinions his own." Dr. Sangrado considered that blood was not needful for life, and that hot water could not be administered too plentifully into the system. Gil Blas became his servant and pupil, and was allowed to drink any quantity of water, but to eat only ...
— Character Sketches of Romance, Fiction and the Drama - A Revised American Edition of the Reader's Handbook, Vol. 3 • E. Cobham Brewer
... calumniated! Here when I stay with you from time to time, my life gains a kind of reality and that's what I like most of all. You see, like you, I suffer from the fantastic and so I love the realism of earth. Here, with you, everything is circumscribed, here all is formulated and geometrical, while we have nothing but indeterminate equations! I wander about here dreaming. I like dreaming. Besides, on earth I become superstitious. Please don't laugh, that's just what I like, to become superstitious. ...
— The Brothers Karamazov • Fyodor Dostoyevsky
... paints he understands the chemical properties of all his colors. However vague some of his figures may seem, however formless the shadows, to him the outline is as clear and distinct as that of a geometrical diagram. For this reason Mr. Poe has no sympathy with Mysticism. The Mystic dwells in the mystery, is enveloped with it; it colors all his thoughts; it affects his optic nerve especially, and the commonest things get a rainbow edging from it. Mr. Poe, on ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe
... In a new colony everything increases rapidly in worth—a landed estate which can be bought in the early stages of its existence at a mere nominal price grows yearly in value without a penny being expended upon it; stock increases in a geometrical ratio, at little or no cost, for there is plenty of land to pasture them upon. Nothing of this kind either does or can take place in England; and when the settler finds how changed his prospects are, and how new ...
— Journals Of Two Expeditions Of Discovery In North-West And Western Australia, Vol. 2 (of 2) • George Grey
... music perform this part, as color does in painting. And whereas each sound produced by a sonorous body is invariably allied with its major third and fifth, whereas it acts on grains of fine sand lying on stretched parchment so as to distribute them in geometrical figures that are always the same, according to the pitch,—quite regular when the combination is a true chord, and indefinite when the sounds are dissonant,—I say that music is an art conceived in the very bowels ...
— Gambara • Honore de Balzac
... other. But the good debater is he who faces the negative aspects of the question, who meets sudden objections, has an answer for any momentary summons of doubt or difficulty, dissipates seeming inconsistencies, and reconciles the geometrical smoothness of a priori abstractions with the coarse angularities of practical experience. The great work of Ricardo is of necessity, and almost in every page, polemic; whilst very often the particular objections or ...
— The Posthumous Works of Thomas De Quincey, Vol. 1 (2 vols) • Thomas De Quincey
... observer—say, upon Venus—would notice on our earth when the harvest ripens over huge tracts of country; that is, of course, if the earth's atmosphere allowed a clear view of the terrestrial surface—a very doubtful point indeed. Professor Lowell thinks that the perfect straightness of the lines, and the geometrical manner in which they are arranged, are clear evidences of artificiality. On a globe, too, there is plainly no reason why the liquid which results from the melting of the polar caps should trend at all in the direction of the equator. Upon our earth, for instance, ...
— Astronomy of To-day - A Popular Introduction in Non-Technical Language • Cecil G. Dolmage
... "public-spirited citizen." Then the press grew bolder and introduced the adjectives "charming," "fascinating," "beautiful," etc. That "took" still better. The next step was the "write up" in extenso; next the portrait. Thus, in a ratio of geometrical progression, the bad habit has grown from the daring but courtly compliment to its present disguising proportions, and the vanity and folly of the fair followers of fashion have ...
— Volume 1 of Brann The Iconoclast • William Cowper Brann
... into the silent Casa de Montezuma. They were in a hall about ten feet high, fifteen feet broad, and forty feet long, which evidently ran across the whole front of the building. The walls were hard-finished and adorned with etchings in vermilion of animals, geometrical figures, and nondescript grotesques, all of the rudest design and disposed without regard to order. A doorway led into a small central room, and from that doorways opened into three more rooms, one ...
— Overland • John William De Forest
... twilight at our lonely mast on the shore, just seen above the alders, and hardly yet come to a stand-still from the swaying of the stream; the first encroachment of commerce on this land. There was our port, our Ostia. That straight geometrical line against the water and the sky stood for the last refinements of civilized life, and what of sublimity there is in ...
— A Week on the Concord and Merrimack Rivers • Henry David Thoreau
... and four horses and only one postilion, as the most dangerous thing that a carriage and horses can do. We had two great wooden logs for drags, and snapped them both like matches. The road is like a geometrical staircase, with horrible depths beneath it; and at every turn it is a toss-up, or seems to be, whether the leaders shall go round or over. The lives of the whole party may depend upon a strap in the harness; and if we broke our rotten harness once yesterday, ...
— The Life of Charles Dickens, Vol. I-III, Complete • John Forster
... living-room, beyond the oven, and served as pantry and kitchen. A wooden trough, like a chopping-tray, was the washtub. The ironing or mangling apparatus consisted of a rolling-pin, round which the article of clothing was wrapped, and a curved paddle of hard wood, its under-surface carved in pretty geometrical designs, with which it was smoothed. This paddle served also to beat the clothes upon the stones, when the washing was done in the river, in warm weather. A few wooden bowls and spoons and earthen ...
— Russian Rambles • Isabel F. Hapgood
... progress the more we tend to progress. We advance not in arithmetical but in geometrical progression. We draw compound interest on the whole capital of knowledge and virtue which has been accumulated since the dawning of time. Some eighty thousand years are supposed to have existed between paleolithic and neolithic ...
— The Stark Munro Letters • J. Stark Munro
... vernacular dialects of each race. Their confabulation, aided by inspired interpreters, was truly amusing and interesting. On one occasion I saw a sister, inspired by a squaw, her head mounted with an old hat of felt, cocked, jammed, and indented in no geometrical form, rush to a pan containing a collection of the amputated legs of hens, seize a handful of the raw delicacy, and devour them with as much alacrity as a Yankee woman would an ...
— The Communistic Societies of the United States • Charles Nordhoff
... first work Professor Smyth describes the coffer as showing no "symptoms" whatever of grooves, or catchpins or other fastenings or a lid. "More modern accounts," he re-observes, "have been further precise in describing the smooth and geometrical finish of the upper part of the coffer's sides, without any of those grooves, dovetails, or steady-pin-holes which have been found elsewhere in true polished sarcophagi, where the firm fastening of the lid is one of the ...
— Archaeological Essays, Vol. 1 • James Y. Simpson
... the workings of the mind of the child that the philosopher appeals who wishes to prove that knowledge is recollection, and that our recognition of geometrical truths—so prompt as to appear instinctive—depends on our having been actually familiar with them in an earlier world. The Christian mystic invokes with equal confidence his own memories of a state which seemed as yet to ...
— Wordsworth • F. W. H. Myers
... from either. The town areas with which we have now to deal are small squares or oblongs; they are divided by two main streets into four parts and by other and parallel streets into square or oblong house-blocks ('insulae'), and the rectangular scheme is carried through with some geometrical precision. The 'insulae', whatever their shape—square or oblong—are fairly uniform throughout. Only, those which line the north side of the E. and W. street are often larger than the rest (pp. 88, 125).[58] ...
— Ancient Town-Planning • F. Haverfield
... made people I ever saw, while the women are the poorest. The dress of the women consists of large pieces of tapa, worn around the hips and over the head, and a third piece is sometimes used as a shawl. Tapa is not made at Graciosa Bay, but inland; it is often painted in simple but effective geometrical designs. ...
— Two Years with the Natives in the Western Pacific • Felix Speiser
... hypothenuse of a right-angled triangle equals four times the area of the triangle, plus the square of the difference of the other two sides." This principle has been known to mathematicians by means of arithmetic and algebra, but has never before, we believe, been reduced to a geometrical demonstration. The demonstration of this principle by Mr. Smith is one of the clearest, simplest, and most beautiful in Geometry. The work is divided into three parts, I. The Philosophy of Geometry, II. Demonstrations in Geometry, and III. Harmonies of ...
— The International Weekly Miscellany, Volume I. No. 8 - Of Literature, Art, and Science, August 19, 1850 • Various
... Journal, which he had not had time to finish at lunch, and after first opening and refolding the Post, and putting it on the top of the bread basket on his left, sits down to read it. He ornaments the rye-bread with geometrical butter hieroglyphics, cuts off a piece of cheese in the shape of a rectangle, fills his liqueur glass three quarters full and raises it to his lips, hesitates as if the little glass contained physic, throws back ...
— Married • August Strindberg
... its natural lifetime produces several eggs or seeds, must suffer destruction during some period of its life, and during some season or occasional year; otherwise, on the principle of geometrical increase, its numbers would quickly become so inordinately great that no country could support the product. Hence, as more individuals are produced than can possibly survive, there must in every case ...
— The World's Greatest Books - Volume 15 - Science • Various
... a while forget his disappointment almost as completely as he did the wet-winged winds that had been flapping and wheeling about the house ever since the thaw set in. His obliviousness could not, however, ensure him against the effects of cold shower-baths, and before long his geometrical drawing was done to the accompaniment of a hollow-sounding cough, which made Dan remember a time some years ago when Nicholas had been so seriously ill with pleurisy that voices had said at their door, "Ah, the crathur, he'll scarce ...
— Strangers at Lisconnel • Barlow Jane
... which Ethelberta passed through rose the principal staircase, constructed of a freestone so milk-white and delicately moulded as to be easily conceived in the lamplight as of biscuit-ware. Who, unacquainted with the secrets of geometrical construction, could imagine that, hanging so airily there, to all appearance supported on nothing, were twenty or more tons dead weight of stone, that would have made a prison for an elephant if so arranged? The art which produced this illusion was questionable, but its success ...
— The Hand of Ethelberta • Thomas Hardy
... day on which the seventy-three had been arrested, but not to the 2nd of June, 1793, when the twenty-two were arrested. After overthrowing Robespierre, and the committee, it had to attack Marat and the Mountain. In the almost geometrical progression of popular movement, a few months were still necessary to ...
— History of the French Revolution from 1789 to 1814 • F. A. M. Mignet
... head full of Roman castrametation and geometrical problems, a prince, scarce emerged from boyhood, presents himself on that stage where grizzled Mansfelds, drunken Hohenlos, and truculent Verdugos have been so long enacting, that artless military drama which consists of hard knocks and wholesale massacres. The novice is received with universal ...
— The Rise of the Dutch Republic, 1555-1566 • John Lothrop Motley
... then boiled. They are then easily split up into flattish straws, and become a colour varying from rather bright yellow to brown. For making the belt these two materials, looking rather like black and bright yellow straw, are plaited together in various geometrical patterns. The width of the belt is 2 inches, or a trifle more. It is tied at ...
— The Mafulu - Mountain People of British New Guinea • Robert W. Williamson
... story may be briefly told. The Romans finally took the city by surprise. Tradition tells that, as the assailants were rushing through the streets, with death in their hands, they found Archimedes sitting in the public square, with a number of geometrical figures drawn before him in the sand, which he was studying in oblivion of the tumult of war around. As a Roman soldier rushed upon him sword in hand, he called out to the rude warrior not to spoil the circle. But the soldier ...
— Historic Tales, Volume 11 (of 15) - The Romance of Reality • Charles Morris
... on the same stick, but also that the distances are perceptibly the same, and that the situations of the points are identical on different bows compared together, M. Vuillaume sought to ascertain whether the positions of the ten points could not be obtained by a geometrical construction, by which they might be found with certainty; and by which, consequently, bows might be made whose good condition should be always settled a priori. This he attained in the following manner. At the extremity of a right line A B, equal to 0^m, 700 (27.56 inches), ...
— The Bow, Its History, Manufacture and Use - 'The Strad' Library, No. III. • Henry Saint-George
... Mathematics of the Egyptians is the Rhind Papyrus in the British Museum (No. 10,057), which was written before 1700 B.C., probably during the reign of one of the Hyksos kings. The papyrus contains a number of simple arithmetical examples and several geometrical problems. The workings out of these prove that the Egyptian spared himself no trouble in making his calculations, and that he worked out both his arithmetical examples and problems in the most cumbrous ...
— The Literature of the Ancient Egyptians • E. A. Wallis Budge
... started back; and a deep flush swept her face. For a few seconds she paused; at such a time a few succeeding seconds seem to lengthen in geometrical progression. The strain upon me, and, as I could easily see, on the Doctor also, relaxed as ...
— The Jewel of Seven Stars • Bram Stoker
... observed, carved into life-size figures of men, women, and children, fishes, birds, and various other animals, such as the beaver, wolf, or bear. Each of the wall planks had evidently been hewn out of a whole log, and must have required sturdy deliberation as well as skill. Their geometrical truthfulness was admirable. With the same tools not one in a thousand of our skilled mechanics could do as good work. Compared with it the bravest work of civilized backwoodsmen is feeble and bungling. The completeness of form, finish, and proportion ...
— Travels in Alaska • John Muir
... B!" But Joyce, who was a born tease, could no more resist the temptation of baiting Cynthia, than she could have refused a chocolate ice-cream soda, so she continued to make foolish and irrelevant comments on every geometrical statement, until, in sheer exasperation, Cynthia threw ...
— The Boarded-Up House • Augusta Huiell Seaman
... persons to ideas and numbers, and from ideas and numbers to persons,—from the heavens to man, from astronomy to physiology; he confuses, or rather does not distinguish, subject and object, first and final causes, and is dreaming of geometrical figures lost in a flux of sense. He contrasts the perfect movements of the heavenly bodies with the imperfect representation of them (Rep.), and he does not always require strict accuracy even in applications of number and figure (Rep.). His mind lingers around the forms of mythology, ...
— Timaeus • Plato
... involved in it. So, again, in the pictorial art, an arabesque, or a "harmony in grey," touches none but the aesthetic faculty. But a great mathematician, and even many persons who are not great mathematicians, will tell you that they derive immense pleasure from geometrical reasonings. Everybody knows mathematicians speak of solutions and problems as "elegant," and they tell you that a certain mass of mystic symbols is "beautiful, quite lovely." Well, you do not see it. They do see it, because the intellectual process, the process of comprehending ...
— Science & Education • Thomas H. Huxley
... bulk of his books were printed in Roman and Italic, of which he had several well-cut founts. He had also some good initials, ornaments, and borders. In the folio edition of Plutarch's Lives, which he printed in 1579, each life is preceded by a medallion portrait, enclosed in a frame of geometrical pattern; some of these, notably the first, and also those shown on a white background, are very effective. His device was an anchor held by a hand issuing from clouds, with two sprigs of laurel, and the motto 'Anchora Spei,' the whole ...
— A Short History of English Printing, 1476-1898 • Henry R. Plomer
... statues. Below, in broad stages that fell away toward a wooded valley, lay other gardens, deriving a vague stateliness from their successive balustrades and sculptured fountains. The moonlight, while blanching the geometrical pattern of the paths, and frosting the rectangular flowerbeds, imparted to the whole surrounding, billowing panorama an ...
— Sacrifice • Stephen French Whitman
... work at a geometrical ratio, as one midsummer day seems to repair the damage of a ...
— Atlantic Monthly, Vol. 10, No. 61, November, 1862 • Various
... considerable difficulty,—difficulty arising not so much from the nature of the subject, as from the metaphysical and abstruse manner in which it has been treated. We must follow Spinoza through the labyrinth of his Theological Politics and his Geometrical Ethics; we must follow Schelling and Hegel into the still darker recesses of their Transcendental Philosophy; for a philosophy of one kind can only be met and neutralized by a higher and a better, and the first firm step towards the refutation of error is a thorough comprehension of ...
— Modern Atheism under its forms of Pantheism, Materialism, Secularism, Development, and Natural Laws • James Buchanan
... been screened off by perforated panels, which for the sake of warmth and comfort had been filled up into solid wainscot by a succeeding generation. Thus one side of the room was richly carved with geometrical designs and arabesque pilasters, while the other three sides were in small simple panels, with a deep fantastic frieze in plaster, depicting a deer-chase in relief and running be tween woodwork and ceiling. ...
— What Will He Do With It, Complete • Edward Bulwer-Lytton
... summed up in a paper addressed to the Archaeological Association in September 1845, by Mr C. Winston. Two circles of Early Decorated glass are to be seen in the west window, but they are merely composed of coloured pieces arranged in geometrical patterns. The general arrangement of the great window is, as has been already said, kaleidoscopic, the fragments which compose it being too scattered to admit of being put together again in their original form. The effect, however, is striking, particularly ...
— Bell's Cathedrals: The Cathedral Church of Winchester - A Description of Its Fabric and a Brief History of the Episcopal See • Philip Walsingham Sergeant
... onwards, the Osmia abandons geometrical accuracy; the architect seems to be a little out in her reckoning. The transversal partitions become more and more slanting and the work grows irregular, but always with a sprinkling of large chambers for ...
— Bramble-bees and Others • J. Henri Fabre
... of this interior is cruciform, two hundred feet in each dimension. Built by the Red Cross of the state of Ohio, and dedicated to the larger uses of that organization, the symbolic appropriateness of this particular geometrical figure should not pass unremarked. The cross is divided into side aisles, nave, and crossing, with galleries and mezzanines so arranged as to shorten the arms of the cross in its upper stages, leaving the clear-story surrounding the crossing ...
— Architecture and Democracy • Claude Fayette Bragdon
... is the best part of beauty, which a picture cannot express; no, nor the first sight of the life. There is no excellent beauty, that hath not some strangeness in the proportion. A man cannot tell whether Apelles, or Albert Durer, were the more trifler; whereof the one, would make a personage by geometrical proportions; the other, by taking the best parts out of divers faces, to make one excellent. Such personages, I think, would please nobody, but the painter that made them. Not but I think a painter may make a better face than ever was; but he must do it by a kind of felicity (as a musician that ...
— Essays - The Essays Or Counsels, Civil And Moral, Of Francis Ld. - Verulam Viscount St. Albans • Francis Bacon
... were painted a light buff. The furniture consisted of two single-width beds, two chiffoniers, a study table and two straight-backed chairs. The beds were against the opposite walls, the table in the geometrical centre of the rug, the chiffoniers occupied a portion of the remaining wall space on each side and the two chairs were set between beds and bureaus. The window was in a slight bay and there was a six-foot seat below it. The room was lighted ...
— Left End Edwards • Ralph Henry Barbour
... easily done and the method is shown in Plate XXVI. Mats in over and under weave, of solid color (either natural or dyed), are used, and the embroidery is done with colored straws. Plate XXVII illustrates an embroidered color panel. Floral, geometrical, and conventionalized designs are discussed under the headings ...
— Philippine Mats - Philippine Craftsman Reprint Series No. 1 • Hugo H. Miller
... and the soft, ceaseless jar of the throbbing engines, half a dream hovered above his head, and touched him with a gentle, insistent caress. If you had passed by him this afternoon, and had been anything of a mathematician who could straighten out geometrical angles, you would have come close to his height had you stopped at five feet nine. Indeed, had you clipped off the heels of his low shoes, you would have been exact. But all your nice calculations would not have solved his weight. He was slender, but he was hard and compact. ...
— The Man on the Box • Harold MacGrath
... narrow, capricious sky-lights in the cornices. But there would seem no special need for light, the place being designed more to pass the night in, than the day; in brief, a pine barrens dormitory, of knotty pine bunks, without bedding. As with the nests in the geometrical towns of the associate penguin and pelican, these bunks were disposed with Philadelphian regularity, but, like the cradle of the oriole, they were pendulous, and, moreover, were, so to speak, three-story cradles; the description of one of which ...
— The Confidence-Man • Herman Melville
... given to them, that they are intended to represent the sixteen Prophets of the Old Testament. Above these canopies, in each of the four sides, is a gallery or passage with an embattled parapet, and above that a large window of four lights with geometrical tracery; it is extremely sharp pointed, and towards the top each window is faced internally with a trellis or lattice-work of stone, which adds to its elegance without intercepting the light. These windows rise to the same height as the higher ...
— Ely Cathedral • Anonymous
... branches of philosophy, I had, at an earlier period, given some attention to logic, and among those of the mathematics to geometrical analysis and algebra,—three arts or sciences which ought, as I conceived, to contribute something to my design. But, on examination, I found that, as for logic, its syllogisms and the majority of its other precepts are of avail—rather in the communication of what we already know, ...
— A Discourse on Method • Rene Descartes
... a fine library, and out of it a vast amount of information. He never bought a book that he did not read, and he never read a book unless he considered it worth buying and worth keeping. Languages and mathematics were his particular delight. When he was tired he rested himself by the solving of a geometrical problem. He studied his Bible in Latin, in Greek, in Hebrew, and he had no small smattering of Sanskrit. His chief recreation, on a Sunday afternoon or on a long summer evening, was a walk with The Boy among the Hudson River docks, when ...
— A Boy I Knew and Four Dogs • Laurence Hutton
... or Mind, and its opposite, the so-called material life and mind, are figured by two geometrical symbols, a circle or sphere and a straight 282:6 line. The circle represents the infinite with- out beginning or end; the straight line represents the finite, which has both beginning and end. The sphere 282:9 represents good, the self-existent and eternal individuality or Mind; ...
— Science and Health With Key to the Scriptures • Mary Baker Eddy
... attraction in these orchids is their form—the curvature of their sepals and petals, and the wonderful little pitchers and cups and lips and tongues which an orchid exhibits. And the form is no mere geometrical pattern of lines and curves. It is obviously an ingenious contrivance devised for some special purpose. That purpose we now know to be the attraction of insects, who in sucking the orchid's honey will unconsciously carry on their wings or backs the flower's ...
— The Heart of Nature - or, The Quest for Natural Beauty • Francis Younghusband
... provision to be nugatory. Planted in a wasted country, amongst the former owners and their families, with little to do but to make love, and no lips to make love to but Irish, love or marriage must follow between them as necessarily as a geometrical conclusion follows from the premises. For there were but few who (in the language ...
— The Land-War In Ireland (1870) - A History For The Times • James Godkin
... made the law that beauty is variety. Monotony, though magnificent, will become irksome, but variety is an unceasing delight. Versailles, with its formal avenues of shorn foliage, and its geometrical lawns and terraces, may please you more at first sight than an English park, because the mind feels a sort of pride in being able to grasp such vast ideas at a glance. But you will find, upon a second or third visit, that the unnatural arrangement of the French pleasure grounds has something ...
— Continental Monthly, Volume 5, Issue 4 • Various
... us,—massive in its materials and fabric, and yet constructed with some degree of mechanical skill,—to come to the conclusion that the Nuraghe are works of a very early period, just when rude labour had begun to be directed by some rules of geometrical art. But, in examining the details, we find little or nothing to assist us in forming any clear idea of the period at which they were erected, or the purpose for which they were designed. There are not the slightest ...
— Rambles in the Islands of Corsica and Sardinia - with Notices of their History, Antiquities, and Present Condition. • Thomas Forester
... of eye-color in man and coat-color in horses, Karl Pearson worked out the necessary correlations, which are usually referred to as the law of Ancestral Inheritance. Dr. Galton had pointed out, years before, that the contributions of the several generations of individuals probably formed a geometrical series, and Professor Pearson calculated this series, for the two ...
— Applied Eugenics • Paul Popenoe and Roswell Hill Johnson
... was sometimes over-daring; and there are critics who profess to discern, after the beginning of the Russian campaign, and especially in the last contest in Belgium, signs of a decline in his almost superhuman vigilance and energy. Yet all must admit "that transcendent geometrical faculty," as Sainte-Beuve calls it, "which characterized Napoleon, and which that powerful genius applied to war with the same ease and the same aptitude that Monge [a great French mathematician] applied ...
— Outline of Universal History • George Park Fisher
... Night. However, I ought to add that some practical minds tried to put themselves into serious communication with her. Some years ago a German mathematician proposed to send a commission of savants to the steppes of Siberia. There, on the vast plains, immense geometrical figures were to be traced by means of luminous reflectors; amongst others, the square of the hypothenuse, vulgarly called the 'Ass's Bridge.' 'Any intelligent being,' said the mathematician, 'ought to understand the scientific destination of that figure. The Selenites (inhabitants of the moon), ...
— The Moon-Voyage • Jules Verne
... warm and cosy. A cake of barley bread was on the table, and a little black teapot stood there also. There was no furniture but a low wooden bed, one chair, a settle, and a broad shelf. On the shelf was a slate scrabbled all over with geometrical figures, and one of these figures was a parabola with two tangents drawn touching. This puzzled me much. I sat down to warm my hands and my half-frozen face, and when I felt comfortable ...
— The Romance of the Coast • James Runciman
... Principle, let it be but deep enough, goes on aggregating, and this even in a geometrical progression: how when the whole world, in such a plastic time, is forming itself into Clubs, some One Club, the strongest or luckiest, shall, by friendly attracting, by victorious compelling, grow ever stronger, till it become ...
— The French Revolution • Thomas Carlyle
... speed and the eye is fixed on a point, the white (or coloured) line will seem to undulate in a very extraordinary manner. The line is made up of arcs of circles, and as the marking out is somewhat of a geometrical problem, a diagram (Fig. 141) is added to show how it is done. The dotted curves are those parts of the circles which do not enter ...
— Things To Make • Archibald Williams
... the works, he was 'pretty merry and well to do,' zealous in study, welcome to many friends, unwearied in loving- kindness to his mother. For some time he spent three nights a week with Dr. Bell, 'working away at certain geometrical methods of getting the Greek architectural proportions': a business after Fleeming's heart, for he was never so pleased as when he could marry his two devotions, art and science. This was besides, in all likelihood, the beginning of that love and intimate appreciation of things Greek, from the least ...
— Memoir of Fleeming Jenkin • Robert Louis Stevenson
... are determined, not by the procreative power of its members, which always greatly exceeds the capacity of the earth to support a progeny increasing in geometrical progression, but by two factors, the activity of its enemies and the available supply of food. Those species which survive owe their success in the struggle for existence mainly to one of two qualities, enormous fertility or parental care. The female cod spawns about 6,000,000 ...
— Outspoken Essays • William Ralph Inge
... exceptional cases, acquired a faculty of receiving and interpreting more complex thought-forms and mental states. The investigations of the Society for Psychical Research, and those of private investigators as well, have shown us that a picture of a complicated geometrical design held in the mind of one person may be carried to and received by the mind of another person, who reproduces the design on paper. In the same way, complicated thoughts have been transmitted and received. But these are only exceptional cases. In many cases this sense ...
— Clairvoyance and Occult Powers • Swami Panchadasi
... denominated verses often, eight, six, or four syllables, even to this day. Thus have we lost sight of the great advantage which our language has given us over the French, in point of poetic numbers, by its being capable of a geometrical proportion, on which the harmony of versification depends; and blindly reduced ourselves to that of the arithmetical kind which contains no natural power of pleasing the ear. And hence like the French, our chief pleasure ...
— The Grammar of English Grammars • Goold Brown
... occasional controversies as to how the earth is supported in space. The Greeks, too, had an elaborate mythology largely adapted from their neighbours, but they were not satisfied with this, and made persistent attempts to reduce the apparent motions of celestial objects to geometrical laws. Some of the Pythagoreans, if not Pythagoras himself, held that the earth is a sphere, and that the apparent daily revolution of the sun and stars is really due to a motion of the earth, though at first this motion of the earth was not supposed to be one ...
— Kepler • Walter W. Bryant
... Byron's friend, possibly at Harrow, though his name does not occur in the school lists, certainly at Trinity College, Cambridge (B.A. 1808). He represented Truro from 1810 to 1812, when he left England on his Eastern travels. At Philae he discovered an obelisk, the geometrical elevation and inscriptions of which he published in 1820. In Mesopotamia he encountered John Silk Buckingham, whom he afterwards charged with making use of his notes in his 'Travels', a statement, found to be libellous, ...
— The Works Of Lord Byron, Letters and Journals, Vol. 1 • Lord Byron, Edited by Rowland E. Prothero
... of the actual side of that figure. Nevertheless, he had learned to square the circle with a close approximation to the truth, and, in general, his measurement sufficed for all his practical needs. Just how much of the geometrical knowledge which added to the fame of Thales was borrowed directly from the Egyptians, and how much he actually created we cannot be sure. Nor is the question raised in disparagement of his genius. Receptivity is the first prerequisite ...
— A History of Science, Volume 1(of 5) • Henry Smith Williams
... tenth successive time, he slid into his desk-chair an hour late, Mr. Comer bowed to him, not only familiarly, but sarcastically, then invited him to step into his private office and see if he could locate the center of the carpet. It was a geometrical task that Louis had been wishing to try for ...
— Laughing Bill Hyde and Other Stories • Rex Beach
... others have a geometrical aspect. In each class the similarity tends to indicate character. The fox-faced man is apt to be sly, the triangular man is likely to be a lump. So Mr. Asche, being rectilinear, was on the square; ...
— By Advice of Counsel • Arthur Train
... seem to follow that those who hold Sensation to be the only source of our Knowledge must be obliged to affirm the possibility of sensations of Space. Mach indeed claims to distinguish physiological Space, geometrical Space, visual Space, tactual Space as all different and yet apparently harmoniously blended in our Experience. He is, however, sadly wanting in clearness of statement. He never tells us when and where exactly we do have a sensation of Space. In truth he never gets behind the postulate of an all-enveloping ...
— Essays Towards a Theory of Knowledge • Alexander Philip
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