|
|
|
More "Conic" Quotes from Famous Books
 ... opened a geometrical school in Alexandria about B.C. 300. He occupied himself not only with mathematical, but also with physical investigation. Besides many works of the former class supposed to have been written by him, as on Fallacies, Conic Sections, Divisions, Porisms, Data, there are imputed to him treatises on Harmonics, Optics, and Catoptrics, the two latter subjects being discussed, agreeably to the views of those times, on the ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper
... contact, at all events," exclaimed Waymark. "I detest the very name of Parliament, and could as soon read Todhunter on Conic Sections as the reports of a debate. Perhaps you're a mathematician?" This with ...
— The Unclassed • George Gissing
... the Arabs added little to Euclid, but algebra is practically their creation. An Arabic treatise on algebra long formed the textbook of the subject in the universities of Christian Europe. Spherical trigonometry and conic sections are Arabic inventions. This mathematical knowledge enabled the Arabs to make considerable progress in astronomy. Observatories at Bagdad and Damascus were erected as early as the ninth century. Some of the astronomical ...
— EARLY EUROPEAN HISTORY • HUTTON WEBSTER
... surface of the table during the day. It will be found to describe a curve ACE ... FDB, approaching the point H as the sun advances towards noon, and receding from it afterwards. (The curve is a conic section—an hyperbola in these regions.) At the moment when it crosses the arc AB, mark the point A; AP is then the direction of the sun, and, as AH is horizontal, the angle PAH is the altitude of the sun. In the afternoon mark the point B where it crosses the same arc; then the ...
— Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 3 - "Destructors" to "Diameter" • Various
... he tore himself away, retraced his steps as cautiously as he had conic, and flung himself upon the pony left waiting at a sheltered nook far from the cove. As he sped over the plains toward the distant herd, it came to him suddenly in a way not before experienced, that it was ...
— Lahoma • John Breckenridge Ellis
... inch broad, conic, or bell-shaped, somewhat umbonate, obtuse, whitish to flesh-color, with more or less dull red, even, or slightly striate at the margin, the margin extending beyond the gills and ...
— The Mushroom, Edible and Otherwise - Its Habitat and its Time of Growth • M. E. Hard
... appreciate these defects. She saw her, with mute wonder, blooming out before her very eyes, from a stout, stocky, frowzy child, with coarse red cheeks and knuckles like a bootblack, into a tall, slender girl, whose oval face was as regular as a conic section, and whose movements were as swift, strong, and graceful, when she forgot herself, as those of a race-horse. There were still the ties of habit and romance between them. Azalea, whose brother was a train-boy on the Lake Shore road, ...
— The Bread-winners - A Social Study • John Hay
... does not know, she does not understand," muttered the old woman with a dreary smile. "And yet Melampus told me, only yesterday, that you understood his lesson on conic sections better than many men. Aye, aye, child; I, too, learnt mathematics once, and I still go through various calculations every night in my observatory; but to this day I find it difficult to conceive of a mathematical point. It is nothing ...
— Uarda • Georg Ebers
... part of the peculiarly Alexandrian literature. The founder of the mathematical school was the celebrated Euclid (Eucleides); among its scholars were Archimedes; Apollonius of Perga, author of a treatise on Conic Sections; Eratosthenes, to whom we owe the first measurement of the earth; and Hipparchus, the founder of the epicyclical theory of the heavens, afterwards called the Ptolemaic system, from its most famous expositor, Claudius Ptolemaeus. Alexandria continued to be celebrated as a school ...
— Project Gutenberg Encyclopedia
... simple reason that education is possible only on that condition. Boys were never taught the rule-of-three until after they had learnt addition. They were not set to write exercises before they had got into their copybooks. Conic sections have always been preceded by Euclid. But the error of the old methods consists in this, that they do not recognise in detail what they are obliged to recognise in general. Yet the principle applies throughout. If from the ...
— Essays on Education and Kindred Subjects - Everyman's Library • Herbert Spencer
... instance, the fifth, sixth, and seventh books (the eighth is still wanting) of the Conic Sections of Apollonius Pergaeus, which were printed from the Florence Ms. 1661, (Fabric. Bibliot. Graec. tom. ii. p. 559.) Yet the fifth book had been previously restored by the mathematical divination of Viviani, (see his Eloge in Fontenelle, ...
— The History of The Decline and Fall of the Roman Empire - Volume 5 • Edward Gibbon
... remarkable for the perfection of its conic form. Owing to the perpendicular walls of lava formed on the slopes all around, it would seem impossible to reach the crater. The elevation of the peak has been computed at between 8,200 and 8,400 feet. I have been around the base on the E. and S. sides, but ...
— The Philippine Islands • John Foreman
... at a great pace in mathematics for a young girl; every step seemed easy to her. She took everything severe that she could get a chance at, in the course or out of it,—surveying, navigation, mechanics, mathematical astronomy, and conic sections, as well as the ordinary course in mathematics; the calculus she had worked through at sixteen under a very able and exact teacher, and took her diploma from W.H. Wells, a master who allowed nothing to go slipshod. She was absorbed in studies of this kind, and took no especial ...
— The Seven Little Sisters Who Live on the Round Ball - That Floats in the Air • Jane Andrews
... of Blaise Pascal was sent down to Rouen as an "Intendant du Roi." Though but sixteen, the youth had already attracted the notice of the mathematical world by his treatise on conic sections. Even when only twelve the precocious boy had worked out the solutions of the first thirty-two propositions of Euclid unaided. While at Rouen he invented a calculating machine, and got a workman in the town to set it up. In 1646 he ...
— The Story of Rouen • Sir Theodore Andrea Cook
... sweltering crowd of conditioned men who thronged the streets. It seemed a stupid way to commence his upper-class years, to spend four hours a morning in the stuffy room of a tutoring school, imbibing the infinite boredom of conic sections. Mr. Rooney, pander to the dull, conducted the class and smoked innumerable Pall Malls as he drew diagrams and worked equations from six in ...
— This Side of Paradise • F. Scott Fitzgerald
... four cannon were successively tried. They were charged with pyroxile, taking into consideration its explosive power, which, as has been said, is four times that of ordinary powder: the projectile to be fired was cylindro-conic. ...
— The Secret of the Island • W.H.G. Kingston (translation from Jules Verne)
... Ambrose would gladly have given up taking pupils. He was growing old and his sight was beginning to trouble him; he was very weary of Thucydides, of Homer, of the works of Mr. Todhunter of which the green bindings expressed a hope still unrealised, of conic sections—even of his beloved Horace. He was tired of the stupidities of the dull young men who were sent to him because they could not "keep up", and he had long ceased to be surprised or interested ...
— A Tale of a Lonely Parish • F. Marion Crawford
... example outside the Elements, how can a mathematician properly understand the term latus rectum used in conic sections unless he has seen it in Apollonius as the erect side (ορθια πλευρα {orthia pleura}) of a certain rectangle in the case of each of the three conics?[3] The word ordinate can hardly convey ...
— The Legacy of Greece • Various
... broad laws of morality, he has had no training in the application of those laws to the difficult problems which result from the complex conditions of modern civilization. Would it not be very hard to expect anyone to solve a problem in conic sections who had merely been taught the axioms ...
— Lay Sermons, Addresses and Reviews • Thomas Henry Huxley
... that satisfaction we receive from the sciences, yet I doubt, if it be alone sufficient to give us any considerable enjoyment. The truth we discover must also be of some importance. It is easy to multiply algebraical problems to infinity, nor is there any end in the discovery of the proportions of conic sections; though few mathematicians take any pleasure in these researches, but turn their thoughts to what is more useful and important. Now the question is, after what manner this utility and importance operate upon us? The difficulty on this head arises from hence, that many ...
— A Treatise of Human Nature • David Hume
... having anything that we can call or think to be a neuter or medium between equal and unequal. Besides, if there are superficies neither equal nor unequal, what hinders but there may be also circles neither equal nor unequal? For indeed these superficies of conic sections are circles. And if circles, why may not also their diameters be neither equal nor unequal? And if so, why not also angles, triangles, parallelograms, parallelopipeds, and bodies? For if the longitudes ...
— Essays and Miscellanies - The Complete Works Volume 3 • Plutarch
... Pumpkin is of an oblate form, inclining to conic; and is deeply and regularly ribbed. When well grown, it is of comparatively large size, and measures thirteen or fourteen inches in diameter, and about ten inches in depth. Color fine, deep orange-yellow; skin or shell rather thick and hard; flesh yellow, ...
— The Field and Garden Vegetables of America • Fearing Burr
... you do what you're told? Why, I declare you're as thin as a hurdle, and as black under the eyes as if you had been fighting with a collier. You ought to be ashamed of yourself! Look at me; do all I can I can't get up an interesting pallor like you, and I've fretted enough over those conic sections (comic sections Jim always calls them). Never mind! Wait till I get you ...
— The Adventures of a Three-Guinea Watch • Talbot Baines Reed
... be seen that a base-runner must not only have some wits but he must have them always with him. Exactly the same combinations never conic up, new ones are continually being presented, and in every case he must decide for himself what is best. In view of all the circumstances, he makes a quick mental estimate of the chances and acts accordingly. Sometimes for-time will be against him, but if his ...
— Base-Ball - How to Become a Player • John M. Ward
... who is unacquainted with geometry,"—and had himself unveiled the geometrical analysis, exhibiting the whole strength and weakness of the instrument, and applying it successfully in the discussion of the properties of the Conic Sections. Various were the discoveries, and various the discoverers also, all now at rest, like Archimedes, the greatest of them all, in his Sicilian tomb, overgrown with brambles and forgotten, found only by careful research of that liberal-minded Cicero, and recognized ...
— Atlantic Monthly, Volume 3, No. 20, June, 1859 • Various
... into the pilot-house, where the captain was behind the wheel by this time. He was gazing intently at the conic rock which rose from the water a cable's length ahead of him, off a point on the main shore. When he brought the little steamer in to her anchorage in the morning, the lead had been kept going all the time, and he had noted the soundings on the ...
— Asiatic Breezes - Students on The Wing • Oliver Optic
... and otherwise, and he tried it by mixed examples in vulgar fractions. But it was all of no use. Then he tried to do the sum by algebra, by simple and by quadratic equations, by trigonometry, by logarithms, and by conic sections. But it would not do. He got an answer every time, it is true, but it was always a different one, and he could not feel ...
— The Book of Dragons • Edith Nesbit
... November, 1738. My father, who was a musician, destined me to the same profession, hence I was instructed betimes in his art. That I might acquire a perfect knowledge of the theory as well as of the practice of music, I was set at an early age to study mathematics in all its branches—algebra, conic sections, infinitesimal analysis, ...
— Sir William Herschel: His Life and Works • Edward Singleton Holden
... to be also connected with those stretching towards Bindango, and separating the basin of the upper Balonne from this interior country. A hill similar to that on which I stood, but of less height, lay on the interior side of it, having a remarkable conic summit clear of bushes. The valley at the base of these two hills contained a fine crop of ANTHISTIRIA; and there was also a chain of ponds, where natives had been encamped not long before, but in which ...
— Journal of an Expedition into the Interior of Tropical Australia • Thomas Mitchell
... mathematics; taught myself The way to lay one stone upon another, Before I dared to dream that I might build My Holy City of Song. I gave myself To all its branches. How they stared at me, Those men of "sensibility," when I said That algebra, conic sections, fluxions, all Pertained to music. Let them stare again. Old Kepler knew, by instinct, what I now Desire to learn. I have resolved to leave No tract of heaven unvisited. To-night —The music carries me back to it again!— I see beyond this island universe, Beyond our sun, and ...
— Watchers of the Sky • Alfred Noyes
... admission were required to pass an examination in arithmetic; in algebra, including the solution of equations of the first four degrees and the theory of series; and in geometry, including trigonometry, the applications of algebra to geometry, and conic sections.[6] It should be noted that these requirements are more extensive than the usual present mathematical requirements of our leading universities and technical schools, but L'Ecole Polytechnique laid special emphasis on mathematics and ...
— College Teaching - Studies in Methods of Teaching in the College • Paul Klapper
... understand the basic principles of digestion and the proper combination of foods, or to understand thoroughly the baneful effects of sleeping in a badly ventilated room, than to be the greatest living expert in conic sections. Practical physiology is the crying need of the times, especially for our children, if we expect them to be ...
— The Royal Road to Health • Chas. A. Tyrrell
... event proved. Plutarch of Athens? He was superannuated. Syrianus? A mere logician, twisting Aristotle to mean what she knew, and he ought to have known, Aristotle never meant. Her father? A man of triangles and conic sections. How paltry they all looked by the side of the unfathomable Jew!—Spinners of charming cobwebs..... But would the flies condescend to be caught in them? Builders of pretty houses..... If people would but enter and live ...
— Hypatia - or, New Foes with an Old Face • Charles Kingsley
... creature and Creator. But philosophy is not adapted to the great mass of mankind; it soars too highly above the vulgar; it speaks a language they are unable to comprehend. To propose philosophy to them, would be just as weak as to propose the study of conic sections to peasants or fish-women. Among philosophers themselves, I know of no one besides Maximus Tyrius who has treated of this subject. The following is the substance of his ideas upon it:—The designs of God exist from all eternity. If the object prayed for be conformable to his immutable ...
— Ancient and Modern Celebrated Freethinkers - Reprinted From an English Work, Entitled "Half-Hours With - The Freethinkers." • Charles Bradlaugh, A. Collins, and J. Watts
... wood-hole; straight my bristling hairs erect Through sudden fear; a chilly sweat bedews My shuddering limbs, and (wonderful to tell!) My tongue forgets her faculty of speech; So horrible he seems! His faded brow, Intrench'd with many a frown, and conic beard, And spreading band, admir'd by modern saints, Disastrous acts forbode; in his right hand Long scrolls of paper solemnly he waves, With characters and figures dire inscrib'd, Grievous to mortal eyes; (ye gods, avert Such plagues from righteous men!) Behind him stalks ...
— The Book of Humorous Verse • Various
... hyperdimensional surface. V. render spherical &c.adj.; form into a sphere, sphere, roll into a ball; give rotundity &c. n.; round. Adj. rotund; round &c. (circular) 247; cylindric, cylindrical, cylindroid[obs3]; columnar, lumbriciform[obs3]; conic, conical; spherical, spheroidal; globular, globated[obs3], globous[obs3], globose; egg shaped, bell shaped, pear shaped; ovoid, oviform; gibbous; rixiform[obs3]; campaniform[obs3], campanulate[obs3], campaniliform[obs3]; fungiform[obs3], bead-like, moniliform[obs3], pyriform[obs3], ...
— Roget's Thesaurus
... illustrious French thinker and writer, born at Clermont, in Auvergne; was distinguished at once as a mathematician, a physicist, and a philosopher; at 16 wrote a treatise on conic sections, which astonished Descartes; at 18 invented a calculating machine; he afterwards made experiments in pneumatics and hydrostatics, by which his name became associated with those of Torricelli ...
— The Nuttall Encyclopaedia - Being a Concise and Comprehensive Dictionary of General Knowledge • Edited by Rev. James Wood
... took some draughts of classic lore, Drawn very mild, at ——rd College; Yet I remember all that one Could wish to hold in recollection; The boys, the joys, the noise, the fun; But not a single Conic Section. ...
— The Wit and Humor of America, Volume IX (of X) • Various
... poetry; though, in fact, these things are too free, subtle and complex for deductive treatment: for do not the Arts grow like trees? The only sure cases are mathematical; as we may show that there are possible only three kinds of plane triangles, four conic sections, five regular solids. ...
— Logic - Deductive and Inductive • Carveth Read
... after that happy visit of which I told at the end of "What Katy Did," that Elsie and John made their famous excursion to Conic Section; an excursion which neither of them ever forgot, and about which the family teased them for a long ...
— What Katy Did At School • Susan Coolidge
... extended apparently to the coast ranges; and seemed to be also connected with those stretching towards Bindango, and separating the basin of the upper Balonne from this interior country. A hill similar to that on which I stood, but of less height, lay on the interior side of it, having a remarkable conic summit clear of bushes. The valley at the base of these two hills contained a fine crop of ANTHISTIRIA; and there was also a chain of ponds, where natives had been encamped not long before, but in which no water ...
— Journal of an Expedition into the Interior of Tropical Australia • Thomas Mitchell
... Perhaps her very card is stuck proudly into a corner of the mirror in the college-chamber. After this may come moonlight meetings at the gate, or long listenings to the plaintive lyrics that steal out of the parlor-windows, and that blur wofully the text of the Conic Sections. ...
— Dream Life - A Fable Of The Seasons • Donald G. Mitchell
... puzzled and interested. We had some tea, which made me feel positively luxurious, and then I looked at the backs of the books. There were "The Pilgrim's Progress," and "Tappan on the Will." Then came Shakespeare, a shilling edition of Keats, Drew's "Conic Sections," Hall's "Differential Calculus," Baker's "Land Surveying," Carlyle's "Heroes," a fat volume of Shelley, "The Antiquary," White's "Selborne," Bonnycastle's "Algebra," and five volumes of "The ...
— The Romance of the Coast • James Runciman
... through the algebraic and mathematical handbooks purchased by friend Turnill, often getting so warm on the subject as to neglect his dinner-hour, in brown studies over the plus and minus, squares, cubes, and conic sections. Every evening that he could possibly spare he walked over to Turnill's house, near Elton, regardless of wind, rain, and snow, and regardless even of the reproaches of his kind parents, who began to be afraid of his continued dabbling in the occult arts. However, little John stuck to ...
— The Life of John Clare • Frederick Martin
... her, and her least warrantable admirers found that she insisted on accepting them as endowed with all the Christian virtues. Just as some amateurs of music are incapable of conceiving that there breathes a man who has no joy in popular concerts (we shall have popular conic sections next), so Mrs. St John Deloraine persevered in crediting all she met with a passion for virtue. Their speech might bewray them as worldlings of the world, but she insisted on interpreting their talk as a kind of harmless ...
— The Mark Of Cain • Andrew Lang
... shreddy-fibered texture, but so concretely compacted as to render the surface evenly ridged by very long, big bars of bark. These sweep obliquely down on the long spiral twist of swift water lines. The top is conic, the foliage is in compressed, flattened sprays, upright, thickened, and somewhat succulent; if not a languid type, at least in no sense rigid. It bears some resemblance to the great Western arborvitae (Thuja gigantea), but the tiny leaf-scales are opposite and ...
— Scientific American Supplement, No. 365, December 30, 1882 • Various
... by the color of the peridium and the conic columella. According to Mr. Lister, Rostafinski was not specially careful in labelling his material, different forms having been included under this specific name. Nevertheless, the description is well drawn, and ...
— The North American Slime-Moulds • Thomas H. (Thomas Huston) MacBride
... dull. And it will generally be found that the Romans used the curve of the circle in the sections of their mouldings, a curve possessing the least amount of variety, as is explained later, where the Greeks used the lines of conic sections, curves possessed of the ...
— The Practice and Science Of Drawing • Harold Speed
... profitable conversation for the Sabbath day," said Elsie, with a smile meant to be chastened, but which Aggie took for bitter, and laughed in her sleeve. A few minutes more and the two were again absorbed, this time with a point in conic sections, on which Aggie professed to require enlightenment, and again Elsie was left out. Nor did this occur either through returning forgetfulness on the part of Aggie; or the naturally strong undertow of the tide of science in her brain. Once more ...
— Warlock o' Glenwarlock • George MacDonald
... leather, and each securely tied with a string; for the covers had been broken from the backs. The titles were invisible, the contents a mystery. The gentleman held the unpromising objects in his hand and meditated upon them. They might be a treatise on conic sections, or a Latin Grammar, and again they might be a Book. He untied the string and opened one of the volumes. Was it a breath of summer air from Isis that swept out of those pages, which were as white as snow in spite of the lapse of nearly two centuries? He read ...
— The Bibliotaph - and Other People • Leon H. Vincent
... mathematics, if mathematics are true, is a fatal stone of stumbling for this type of philosophy. Mathematics never attempts to say anything about the 'Absolute'—the only 'Absolute' of which it knows is only a 'degraded conic'—yet it claims that its statements, if once they have been correctly expressed, ...
— Recent Developments in European Thought • Various
... be the rule:-a strip of parchment take, Cut like a pyramid revers'd in make. Abracadabra, first at length you name, Line under line, repeating still the same: Cut at its end, each line, one letter less, Must then its predecessor line express; 'Till less'ning by degrees the charm descends With conic form, and in a letter ends. Round the sick neck the finish'd wonder tie, And pale disease must from ...
— Miscellanies upon Various Subjects • John Aubrey
... looked endless. There was a paper covered with signs and figures that meant nothing to her, and then there were the pocket-books, full of old-fashioned writing, and much of it in Latin, as her husband told her—it was a collection as void of significance as a treatise on conic sections, so far as Mary was concerned. But night after night Darnell shut himself up with the musty rolls, and more than ever when he rejoined her he bore upon his face the blazonry of some great adventure. And one night she asked ...
— The House of Souls • Arthur Machen
... "It has only one fault," he had told a friend on December 24, 1773, after describing the drafting machine to him, "which is, that it will not do, because it describes conic sections instead of ...
— Kinematics of Mechanisms from the Time of Watt • Eugene S. Ferguson
... Vieta's restoration of Apollonius on Tangencies, in 1764, and to this, in the second edition of 1771, was added the Treatise on Spherical Tangencies, by Fermat, which has since been reprinted in the Appendix to the Ladies' Diary for 1840. In 1767 appeared Emerson's Treatise on Conic Sections; a work which, notwithstanding its manifest defects, contributed not a little to aid the student in his approaches to the higher geometry, but whose publication would probably have been rendered ...
— Notes and Queries, Number 34, June 22, 1850 • Various
... He told us what had become of the eighty-three lost tragedies of AEschylus; of the fifty-four orations of Isaeus; of the three hundred and ninety-one speeches of Lysias; of the hundred and eighty treatises of Theophrastus; of the eighth book of the conic sections of Apollonius; of Pindar's hymns and dithyrambics; and of the five and ...
— The Works of Edgar Allan Poe - Volume 4 (of 5) of the Raven Edition • Edgar Allan Poe
... geometry the Arabs added little to Euclid, but algebra is practically their creation. An Arabic treatise on algebra long formed the textbook of the subject in the universities of Christian Europe. Spherical trigonometry and conic sections are Arabic inventions. This mathematical knowledge enabled the Arabs to make considerable progress in astronomy. Observatories at Bagdad and Damascus were erected as early as the ninth century. Some of the astronomical instruments which they constructed, including the sextant and ...
— EARLY EUROPEAN HISTORY • HUTTON WEBSTER
... wind had changed during the night. The balloon had been bearing about thirty miles to the northwest during the last two hours. It was then passing over Mabunguru, a stony country, strewn with blocks of syenite of a fine polish, and knobbed with huge bowlders and angular ridges of rock; conic masses, like the rocks of Karnak, studded the soil like so many Druidic dolmens; the bones of buffaloes and elephants whitened it here and there; but few trees could be seen, excepting in the east, where there were dense woods, among which a few ...
— Five Weeks in a Balloon • Jules Verne
... known as 'ignotum per ignotius' or 'per aeque ignotum.' This rule also may seemingly be violated when it is not really so. For a definition may be correct enough from a special point of view, which, apart from that particular context, would appear ridiculous. From the point of view of conic sections, it is correct enough to define a triangle as that section of a cone which is formed by a plane passing through the vertex perpendicularly to the base, but this could not be expected to make things clearer to a person who was inquiring for the first time into ...
— Deductive Logic • St. George Stock
... for the perfection of its conic form. Owing to the perpendicular walls of lava formed on the slopes all around, it would seem impossible to reach the crater. The elevation of the peak has been computed at between 8,200 and 8,400 feet. I have been around the base on the E. and S. sides, but the grandest view is to be obtained ...
— The Philippine Islands • John Foreman
... know, she does not understand," muttered the old woman with a dreary smile. "And yet Melampus told me, only yesterday, that you understood his lesson on conic sections better than many men. Aye, aye, child; I, too, learnt mathematics once, and I still go through various calculations every night in my observatory; but to this day I find it difficult to conceive of a mathematical point. ...
— Uarda • Georg Ebers
... is a curve of the second order, produced by the intersection of a conic surface and a plane parallel to its axis, and constitutes two branches separated one from the other, both tending indefinitely in ...
— Jules Verne's Classic Books • Jules Verne
... Pascal, who wrote a treatise on Conic sections at the age of 16, and had composed most of his mathematical works and made his chief experiments in science by the age of 26, was in constant suffering, by disease, from his 18th year until his death, in 1662, at the age stated in the text. Expectation of an ...
— The Spectator, Volumes 1, 2 and 3 - With Translations and Index for the Series • Joseph Addison and Richard Steele
... resolves this paradox of the one and the many as the concept that the things of this world are embraced and united in a dimensionally higher world in a manner analogous to that in which all conic sections are embraced and united within the cone. A more elaborate and fanciful figure may serve to make this clearer ...
— Four-Dimensional Vistas • Claude Fayette Bragdon
... decision I remained at Vauclaire another week, a very different man to the lounger it had seen, strenuous, converted, humble, making plans of this and of that, of the detail, and of the whole, drawing, multiplying, dividing, adding, conic sections and the rule-of-three, totting up the period of building, which came out at a little over twelve years, estimating the quantities of material, weight and bulk, my nights full of nightmare as to the sort, ...
— The Purple Cloud • M.P. Shiel
... marvellous region of lava beds, dikes and conic craters suddenly was passed, and the canal moved into the huge forest lands of ...
— The Certainty of a Future Life in Mars • L. P. Gratacap
... were very rarely segments of circles, but lines of varying curvature, capable of producing the most delicate changes of light and shade, and contours of the most subtle grace. Many of them correspond to conic sections, but it seems probable that the outlines were drawn by hand, and not obtained by any ...
— Architecture - Classic and Early Christian • Thomas Roger Smith
... strata, by their coats being spread over each other at different times; and some of them, as the cupreous ones, possess great beauty from this formation; but as these are necessarily more or less of a cylindrical or conic form, the nodules or globular flints above described cannot have been constructed in this manner. To what law of nature then is to be referred the production of such numerous concentric spheres? I suspect to ...
— The Botanic Garden - A Poem in Two Parts. Part 1: The Economy of Vegetation • Erasmus Darwin
... studied at the age of seventeen, as we know by the date of the notes, were Bridge's "Conic Sections," Hutton's "Mathematics," and Bowditch's "Navigator." At that time Prof. Benjamin Peirce had not published his "Explanations of the Navigator and Almanac," so that Maria was obliged to consult many scientific ...
— Maria Mitchell: Life, Letters, and Journals • Maria Mitchell
... tore himself away, retraced his steps as cautiously as he had conic, and flung himself upon the pony left waiting at a sheltered nook far from the cove. As he sped over the plains toward the distant herd, it came to him suddenly in a way not before experienced, ...
— Lahoma • John Breckenridge Ellis
... structure rude where Winter pounds, In conic pit his congelations hoar, That Summer may his tepid beverage cool With ...
— A History of English Romanticism in the Eighteenth Century • Henry A. Beers
... fanciful, you know. I believe she is trying to idealize what we vulgarly call deformity, which she strives to look at in the light of one of Nature's eccentric curves, belonging to her system of beauty, as the hyperbola, and parabola belong to the conic sections, though we cannot see them as symmetrical and entire figures, like the circle and ellipse. At any rate, I cannot help referring this paradise of twisted spines to some idea floating in her head connected with her friend whom Nature has warped in the moulding.—That ...
— The Professor at the Breakfast Table • Oliver Wendell Holmes (Sr.)
... am too careful of them to lack them; but I do lack time...So you still think I am sulking because I do not reply! But imagine, my dear and petulant brother, that for several weeks I have been pursuing, with unequalled persistence, some abominable conic problems proposed at the fellowship examination, and once I have mounted my hobby-horse, good-bye to letters, good-bye to replies, goodbye to everything." (Carpentras, 27th November, 1848.) "You are ...
— Fabre, Poet of Science • Dr. G.V. (C.V.) Legros
... and figure lenses for every step of the theory, to keep myself in the right track; as mere theorizing is apt to lead one very much astray, unless it be checked by constant experiment. For this particular subject, lenses must be ground firstly to spherical, and then to curves of conic sections, so as to eliminate spherical aberration from each lens; so that it will be observed that this subject is not without ...
— Men of Invention and Industry • Samuel Smiles
... 1764, and to this, in the second edition of 1771, was added the Treatise on Spherical Tangencies, by Fermat, which has since been reprinted in the Appendix to the Ladies' Diary for 1840. In 1767 appeared Emerson's Treatise on Conic Sections; a work which, notwithstanding its manifest defects, contributed not a little to aid the student in his approaches to the higher geometry, but whose publication would probably have been rendered unnecessary, had Dr. Simson so far loosened himself from the ...
— Notes and Queries, Number 34, June 22, 1850 • Various
... was somewhat elective, but her advice to me was, not to omit anything because I did not like it. I had a natural distaste for mathematics, and my recollections of my struggles with trigonometry and conic sections are not altogether those of a conquering heroine. But my teacher told me that my mind had need of just that exact sort of discipline, and ...
— A New England Girlhood • Lucy Larcom
... proportion to one another (such as the shock of some solid body, or even the accumulating effect of the resistance of the medium in which astronomers have been led to surmise that the motions of the heavenly bodies take place), the elliptical motion might be changed into a motion in some other conic section; and the complex law, that the planetary motions take place in ellipses, would be deprived of its universality, though the discovery would not at all detract from the universality of the simpler laws into which that complex ...
— A System Of Logic, Ratiocinative And Inductive • John Stuart Mill
... warrantable admirers found that she insisted on accepting them as endowed with all the Christian virtues. Just as some amateurs of music are incapable of conceiving that there breathes a man who has no joy in popular concerts (we shall have popular conic sections next), so Mrs. St John Deloraine persevered in crediting all she met with a passion for virtue. Their speech might bewray them as worldlings of the world, but she insisted on interpreting their talk as a kind of harmless levity, as a mere cynical mask assumed ...
— The Mark Of Cain • Andrew Lang
... original state of our goodly college at its founding. Plans and specifications showing its extent and magnificence have been continually before the board for the last month; and in such repute have been a smashed door-sill or an old arch, that freshmen have now abandoned conic sections for crowbars, and instead of the "Principia" have taken up the pickaxe. You know, my dear fellow, with what enthusiasm I enter into any scheme for the aggrandizement of our Alma Mater, so I need ...
— Charles O'Malley, The Irish Dragoon, Volume 2 (of 2) • Charles Lever
... prepared, let us follow the shadow of the bead P as it moves along the surface of the table during the day. It will be found to describe a curve ACE ... FDB, approaching the point H as the sun advances towards noon, and receding from it afterwards. (The curve is a conic section—an hyperbola in these regions.) At the moment when it crosses the arc AB, mark the point A; AP is then the direction of the sun, and, as AH is horizontal, the angle PAH is the altitude of the sun. In the afternoon mark the point B ...
— Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 3 - "Destructors" to "Diameter" • Various
... who wrote a treatise on Conic sections at the age of 16, and had composed most of his mathematical works and made his chief experiments in science by the age of 26, was in constant suffering, by disease, from his 18th year until his death, in 1662, at the age stated in the text. Expectation of an early death caused him to ...
— The Spectator, Volumes 1, 2 and 3 - With Translations and Index for the Series • Joseph Addison and Richard Steele
... cases in which Conic sections serve for refraction, and are the same which are explained, in his Dioptrique, by Des Cartes, who first found out the use of these lines in relation to refraction, as also that of the Ovals the first of which we have already set forth. The second oval is that which serves ...
— Treatise on Light • Christiaan Huygens
... only pupil she had in that science, in heraldry, which she loved. It is far more pleasant to be describing a shield and settling questions in the queer old language of this queer old science, than in solving and propounding problems in trigonometry and conic sections. And then—how if your pupil begins to talk round the subject and to wander into other things? You cannot very well talk round a branch of mathematics, but heraldry is a subject surrounded by fields, meadows, and ...
— In Luck at Last • Walter Besant
... all our sensibilities, pleasures, affections, aspirations, capacities, it is thought on that ground to have a special nobility and greatness, and a special power of evoking in the student the feelings themselves. The mathematician, dealing with conic sections, spirals, and differential equations, is in danger of being ultimately resolved into a function or a co-efficient; the metaphysician, by investigating conscience, must become conscientious; driving fat oxen is ...
— Practical Essays • Alexander Bain
... point of contact, at all events," exclaimed Waymark. "I detest the very name of Parliament, and could as soon read Todhunter on Conic Sections as the reports of a debate. Perhaps you're a ...
— The Unclassed • George Gissing
... yet marvellous region of lava beds, dikes and conic craters suddenly was passed, and the canal moved into the huge forest lands of ...
— The Certainty of a Future Life in Mars • L. P. Gratacap
... ill-health. She went on at a great pace in mathematics for a young girl; every step seemed easy to her. She took everything severe that she could get a chance at, in the course or out of it,—surveying, navigation, mechanics, mathematical astronomy, and conic sections, as well as the ordinary course in mathematics; the calculus she had worked through at sixteen under a very able and exact teacher, and took her diploma from W.H. Wells, a master who allowed nothing to go slipshod. She was absorbed in studies of this kind, ...
— The Seven Little Sisters Who Live on the Round Ball - That Floats in the Air • Jane Andrews
... enter, who is unacquainted with geometry,"—and had himself unveiled the geometrical analysis, exhibiting the whole strength and weakness of the instrument, and applying it successfully in the discussion of the properties of the Conic Sections. Various were the discoveries, and various the discoverers also, all now at rest, like Archimedes, the greatest of them all, in his Sicilian tomb, overgrown with brambles and forgotten, found only by careful research ...
— Atlantic Monthly, Volume 3, No. 20, June, 1859 • Various
... Dublin 1819, d. 1904), like the last mentioned subject, was, at the time of his death, Provost of Trinity College, Dublin. Besides theological writings, he contributed much to mathematical science, especially in the directions of conic sections, analytic geometry, higher plane curves, and the geometry of three dimensions. He was a Fellow of the Royal Society, and received the Copley and Royal medals, as well as distinctions from many ...
— The Glories of Ireland • Edited by Joseph Dunn and P.J. Lennox
... and eternity were one. Yes, I believe that when the great problem is solved, it will be found that the fourth dimension is duration, extending in all directions like the circumference of a circle, the edges of a cube, and the curves of the conic sections. ...
— The Mummy and Miss Nitocris - A Phantasy of the Fourth Dimension • George Griffith
... to the limited range of objects to which the education of the young of the higher classes is so exclusively directed in Oxford and Cambridge. Greek and Latin, Aristotle's logic and classical versification, quadratic equations, conic sections, the differential calculus, are very good things, and we are well aware that it is by excellence in them that the highest honours in these seminaries of learning can alone be attained. They are ...
— Blackwood's Edinburgh Magazine, Volume 62, Number 361, November, 1845. • Various
... Mateo had been suppressed by a government which was the sworn enemy of every form of enlightenment. The new seminary, however, continued the work of the old with little change: While there Jos carried his mathematical studies through higher algebra, conic sections, trigonometry, and surveying, and continued Latin, French, English, and Greek. If we may judge from later results, a course in rhetoric and poetics must have been of greatest benefit ...
— El Estudiante de Salamanca and Other Selections • George Tyler Northup
... defects. She saw her, with mute wonder, blooming out before her very eyes, from a stout, stocky, frowzy child, with coarse red cheeks and knuckles like a bootblack, into a tall, slender girl, whose oval face was as regular as a conic section, and whose movements were as swift, strong, and graceful, when she forgot herself, as those of a race-horse. There were still the ties of habit and romance between them. Azalea, whose brother was a train-boy ...
— The Bread-winners - A Social Study • John Hay
... anything that we can call or think to be a neuter or medium between equal and unequal. Besides, if there are superficies neither equal nor unequal, what hinders but there may be also circles neither equal nor unequal? For indeed these superficies of conic sections are circles. And if circles, why may not also their diameters be neither equal nor unequal? And if so, why not also angles, triangles, parallelograms, parallelopipeds, and bodies? For if the longitudes are neither equal nor unequal to one another, so will the weight, percussion, ...
— Essays and Miscellanies - The Complete Works Volume 3 • Plutarch
... trying to idealize what we vulgarly call deformity, which she strives to look at in the light of one of Nature's eccentric curves, belonging to her system of beauty, as the hyperbola, and parabola belong to the conic sections, though we cannot see them as symmetrical and entire figures, like the circle and ellipse. At any rate, I cannot help referring this paradise of twisted spines to some idea floating in her head connected with her friend whom Nature has warped in the moulding.—That is nothing to another ...
— The Professor at the Breakfast Table • Oliver Wendell Holmes (Sr.)
... the early books of Euclid were about all that were taught; at its end the western world had worked out decimals, symbolic algebra, much of plane and spherical trigonometry, mechanics, logarithms (1614) and conic sections (1637), and was soon to add the calculus (1667-87). Mercator had published the map of the world (1569) which has ever since born his name, and the Gregorian calendar had been introduced (1572). The barometer, thermometer, air-pump, pendulum clock, and the telescope ...
— THE HISTORY OF EDUCATION • ELLWOOD P. CUBBERLEY
... dangerous. Perhaps her very card is stuck proudly into a corner of the mirror in the college-chamber. After this may come moonlight meetings at the gate, or long listenings to the plaintive lyrics that steal out of the parlor-windows, and that blur wofully the text of the Conic Sections. ...
— Dream Life - A Fable Of The Seasons • Donald G. Mitchell
... hurdle, and as black under the eyes as if you had been fighting with a collier. You ought to be ashamed of yourself! Look at me; do all I can I can't get up an interesting pallor like you, and I've fretted enough over those conic sections (comic sections Jim always calls them). Never mind! Wait till I get you down ...
— The Adventures of a Three-Guinea Watch • Talbot Baines Reed
... flight in convex parabolic curves, wherein resistance is overcome by a minimum of force; and elastic surfaces obey the converse of that law in opposing certain external influences. It is a property of conic sections that a straight line, centred in the apex, and caused to circumscribe the surface of the cone, will apply itself continuously to all consecutive parabolic curves. Hence curves similar to the flight of projectiles, and to those formed by the flection of elastic surfaces, may be described ...
— The Life of Thomas, Lord Cochrane, Tenth Earl of Dundonald, Vol. II • Thomas Lord Cochrane
... first. He was not a double first, nor even a first class man, but he revenged himself on the university by putting firsts and double firsts out of fashion for the year and laughing down a species of pedantry which, at the age of twenty-three, leaves no room in a man's mind for graver subjects than conic ...
— Barchester Towers • Anthony Trollope
... (convolution) 248. curved surface, hypersphere; hyperdimensional surface. V. render spherical &c.adj.; form into a sphere, sphere, roll into a ball; give rotundity &c. n.; round. Adj. rotund; round &c. (circular) 247; cylindric, cylindrical, cylindroid[obs3]; columnar, lumbriciform[obs3]; conic, conical; spherical, spheroidal; globular, globated[obs3], globous[obs3], globose; egg shaped, bell shaped, pear shaped; ovoid, oviform; gibbous; rixiform[obs3]; campaniform[obs3], campanulate[obs3], campaniliform[obs3]; fungiform[obs3], bead-like, moniliform[obs3], pyriform[obs3], bulbous; tres ...
— Roget's Thesaurus
... a fine landscape that was to him like a friend and companion; and he sometimes felt that it would have been worse if he had been in a dull, uniform country, instead of among mountain peaks and broad wooded valleys. Working hard, too, helped him not a little, and conic sections served him almost as ...
— The Heir of Redclyffe • Charlotte M. Yonge
... curve of the second order, produced by the intersection of a conic surface and a plane parallel to its axis, and constitutes two branches separated one from the other, both tending indefinitely in ...
— Jules Verne's Classic Books • Jules Verne
... father of Blaise Pascal was sent down to Rouen as an "Intendant du Roi." Though but sixteen, the youth had already attracted the notice of the mathematical world by his treatise on conic sections. Even when only twelve the precocious boy had worked out the solutions of the first thirty-two propositions of Euclid unaided. While at Rouen he invented a calculating machine, and got a workman in the town to set it up. In 1646 he made his famous ...
— The Story of Rouen • Sir Theodore Andrea Cook
... like a Christhan, in pace and forgiveness wid the world;—all kinds of hard fortune to them! Make haste, woman, if you expect me to die like a Christhan. If they had let me alone till I'd publish to the world my Treatise upon Conic Sections—but to be cut off on my march to fame! another draught of the hydraulics, Nancy, an' then for the priest—But see, bring Father Connell, the curate, for he understands something about Matthew-maticks; an' never heed Father Roger, for divil a thing he knows about ...
— The Hedge School; The Midnight Mass; The Donagh • William Carleton
... the saltness of its waters and the leathery qualities of its clams. This island is said to have been so named on account of its resemblance in shape to an inverted cone, but the attrition of the ocean has materially changed the conic base. Researches in the direction of the apex ...
— Punchinello, Vol.1, No. 12 , June 18,1870 • Various
... duplication of the cube, and wrote elements of geometry, and knew that the area of a circle was equal to a triangle whose base is equal to its circumference and altitude equal to its radius. The disciples of Plato invented conic sections, and discovered ...
— Beacon Lights of History, Volume III • John Lord
... something more, Since, all athirst for useful knowledge, I took some draughts of classic lore, Drawn very mild, at ——rd College; Yet I remember all that one Could wish to hold in recollection; The boys, the joys, the noise, the fun; But not a single Conic Section. ...
— The Wit and Humor of America, Volume IX (of X) • Various
Copyright © 2024 Free Translator.org
|
|
|
