"Arithmetical" Quotes from Famous Books
 ... its life in Christian charity, and its light in Christian truth. The tendency of reform at the present day is too often to separate itself from religion; for religion cannot work fast enough to satisfy its haste; cannot, at the end of each year, count the steps it has advanced in arithmetical numbers. The reformer asks not always for general growth and advancement in Christian Character; but demands special evidences, startling results, tangible proofs. These things all have their value, and the persons who strive for them doubtless have their reward; but if the kingdom ...
— The Elements of Character • Mary G. Chandler
... himself, I fancy, for the remainder of the afternoon in making mental calculations of how much poorer a man Mrs. Elmsdale's memory, and the Uninhabited House had left him; and, upon the whole, the arithmetical problem could not have ...
— The Uninhabited House • Mrs. J. H. Riddell
... forms of speech prevail—frequent reduplications and the like, of which we have survivals in the later and even in the most highly developed languages. In various languages, too, we find relics of ancient modes of thought in the simplest words and expressions used for arithmetical calculations. Words and phrases for this purpose are frequently found to be derived from the words for hands, feet, fingers, and toes, just as clearly as in our own language some of our simplest measures of length are shown by their names to have been measures of parts of the ...
— History of the Warfare of Science with Theology in Christendom • Andrew Dickson White
... Trinity, in the Roman and Greek Churches, makes many Moslems conclude that Christians believe not in three but in five Persons. So an Englishman writes of the early Fathers, They not only said that 3 1, and that 1 3: they professed to explain how that curious arithmetical combination had been brought about. The Indivisible had been divided, and yet was not divided: it was divisible, and yet it was indivisible; black was white and white was black; and yet there were not two colours but one colour; and whoever did ...
— The Kasidah of Haji Abdu El-Yezdi • Richard F. Burton
... been avoided, because they gave pain to good people. There was perhaps too much of the particular excitement of the time. It was the date when Essays and Reviews was still thought a terrible explosive; when Bishop Colenso's arithmetical tests as to the flocks and herds of the children of Israel were believed to be sapping not only the inspiration of the Pentateuch but the foundations of the Faith and the Church; and when Darwin's scientific speculations were shaking the civilised world. Some excitement was to be pardoned in days ...
— Studies in Literature • John Morley
... turned his attention to the arithmetical statements of Sir Peter; and a better specimen of what in the Scotch language is called a stramash, it has never been our ...
— Blackwood's Edinburgh Magazine, Vol. 53, No. 331, May, 1843 • Various
... of the Pythagoreans was that "number is the essence or first principle of things." This led them at once to the study of the mysteries of figures and of arithmetical relations, and plunged them into the wildest fantasies when it took the absurd form that numbers ...
— History of the Intellectual Development of Europe, Volume I (of 2) - Revised Edition • John William Draper
... free to take these trifles for arithmetical estimates, or arithmetical estimates for trifles. The illusions of life are the best things in life; that which is most respectable in life is our futile credulity. Do there not exist many people ...
— The Physiology of Marriage, Part I. • Honore de Balzac
... traveller in the islands learns so soon to recognise,—the laugh of terror. Doubtless these half-Christian folk were shocked, these half-heathen folk alarmed. Chench or Taburik thus invoked, we put our questions; the witch knotted the leaves, here a leaf and there a leaf, plainly on some arithmetical system; studied the result with great apparent contention of mind; and gave the answers. Sidney Colvin was in robust health and gone a journey; and we should have a fair wind upon the morrow: that was the result of our consultation, for which we paid ...
— The Works of Robert Louis Stevenson - Swanston Edition Vol. 18 (of 25) • Robert Louis Stevenson
... propositions might have incidental lights and shades in people's lives to make them plausible and precious; but they could not be maintained by one who had clarified his intent in naming and adding. For then the arithmetical relations would be abstracted, and their incidental associates would drop out of the account. So a man who is in pursuit of things for the good that is in them must recognise and (if reason avails) must pursue what is good in them all. Strange customs and unheard-of thoughts may then find ...
— The Life of Reason • George Santayana
... acquisition of knowledge. Once found, he had but little care to distribute the results of his investigations; at most he sought to use them for purposes of practical utility.[237] Even in childhood he is said to have perplexed his teachers by propounding arithmetical problems. In his maturity he carried anatomy further than Delia Torre; he invented machinery for water-mills and aqueducts; he devised engines of war, discovered the secret of conical rifle-bullets, adapted paddle-wheels to boats, projected ...
— Renaissance in Italy Vol. 3 - The Fine Arts • John Addington Symonds
... in Normandy, we must reckon hundreds of peasants. Since the generation which followed William to England in 1066, we can reckon twenty-eight or thirty from father to son, and, if you care to figure up the sum, you will find that you had about two hundred and fifty million arithmetical ancestors living in the middle of the eleventh century. The whole population of England and northern France may then have numbered five million, but if it were fifty it would not much affect the ...
— Mont-Saint-Michel and Chartres • Henry Adams
... to it. And then I saw that over every facet patterns were traced; gigantic symmetrical designs; mathematical hieroglyphs. In them I read unthinkable calculations, formulas of interwoven universes, arithmetical progressions of armies of stars, pandects of the motions of the suns. In the patterns was an appalling harmony—as though all the laws from those which guide the atom to those which direct the cosmos ...
— The Metal Monster • A. Merritt
... ideas" are ideas of any sort whatsoever which take effect in conduct and improve it, make it better than it otherwise would be. Similarly, one may say, immoral ideas are ideas of whatever sort (whether arithmetical or geographical or physiological) which show themselves in making behavior worse than it would otherwise be; and non-moral ideas, one may say, are such ideas and pieces of information as leave conduct uninfluenced for either the better or the worse. Now ...
— Moral Principles in Education • John Dewey
... that when, at first, any large body of people in their history became aware of their unity, they expressed it in some popular symbol of divinity. For they felt that their combination was not an arithmetical one; its truth was deeper than the truth of number. They felt that their community was not a mere agglutination but a creation, having upon it the living touch of the infinite Person. The realisation of this truth having been an end in itself, a fulfilment, it gave ...
— Creative Unity • Rabindranath Tagore
... Sigismund. Let us leave him at this his culminating point, in the Market-place of Constance; red as a flamingo; doing one act of importance, though unconsciously and against his will.—I subjoin here, for refreshment of the reader's memory, a Synopsis, or bare arithmetical List, of those Intercalary Non-Hapsburg Kaisers, which, now that its original small duty is done, may as well be printed ...
— History Of Friedrich II. of Prussia, Vol, II. (of XXI.) - Frederick The Great—Of Brandenburg And The Hohenzollerns—928-1417 • Thomas Carlyle
... the doctrine of the Holy Trinity is something of a puzzle—on the face of it an arithmetical paradox; suggestive, moreover, of the abstract subtleties of speculation rather than of the concrete realities of religious life. But the doctrine did not have its origin, as a matter of historical fact, in any ...
— Religious Reality • A.E.J. Rawlinson
... simple and primitive. Some arithmetical system had been evolved, but, on the other hand, they had calculated and adopted a chronology—probably it had been inherited from the Toltecs—which displayed a remarkable precision, in that they adjusted the difference of the civil ...
— Mexico • Charles Reginald Enock
... gratification of certain desires. It is probable that some of the extraordinary things horses and dogs have been known to do in the way of stamping a certain number of times in supposed indication of an answer to an arithmetical question (in the case of horses), or of the name of an object drawn (in the case of dogs), are dependent on clever associations established by the teacher between minute signs and a number of stampings. What is certain is that mammals have in varying degrees ...
— The Outline of Science, Vol. 1 (of 4) - A Plain Story Simply Told • J. Arthur Thomson
... music—and he adored music. He was fond of comparing the two, and often quoted Leibnitz: "Music is an occult exercise of the mind unconsciously performing arithmetical calculations." For him, so he assured his friends, music was a species of sensual mathematics. Before he left St. Petersburg to settle in Balak as its Kapellmeister he had studied at the University under the famous Lobatchewsky, and absorbed from him ...
— Melomaniacs • James Huneker
... Watt retired from business towards the close of his useful and admirable life, he spoke to his friends of occupying himself with "ingenious trifles," and of turning "some of his idle thoughts" upon the invention of an arithmetical machine and a machine for copying sculpture. These and other useful works occupied his attention for ...
— James Nasmyth's Autobiography • James Nasmyth
... sufficiently arithmetical," he said; "statistics are dry, but they are very useful on the eve of a great war. The South, however, has always scorned mathematics; she doesn't know even now the vast resources of the North, her ...
— Before the Dawn - A Story of the Fall of Richmond • Joseph Alexander Altsheler
... gamesters, Scot had often tried magical and cabalistic numbers, in the hope of discovering lucky numbers in the lottery or at the roulette-tables. He had in his possession a cabalistic manuscript, containing various arithmetical combinations of the kind, which he submitted to Cagliostro, with an urgent request that he would select a number. Cagliostro took the manuscript and studied it, but, as he himself informs us, with no confidence in its truth. ...
— Memoirs of Extraordinary Popular Delusions and the Madness of Crowds • Charles Mackay
... from which these verses are taken describes two arithmetical processes, the working out of one of which belongs to us, and of the other to our Father in heaven. The first is an addition sum: "Add to your faith virtue; and to virtue knowledge; and to knowledge temperance; and to temperance ...
— Memoranda Sacra • J. Rendel Harris
... It is a universal law that if we reverse the action of a cause we at the same time reverse the effect. With the same apparatus we can commence by mechanical motion which will generate electricity, or we can commence with electricity which will generate mechanical motion; or to take a simple arithmetical instance: if 10/2 5, then 10/5 2; and therefore if we once recognize the power of thought to produce any results at all, we shall see that the law by which negative thought produces negative results ...
— The Edinburgh Lectures on Mental Science • Thomas Troward
... officer, the most imposing of all others to the inexperienced mind, because accompanied with so much outward pomp and circumstance, is in its essence a very dry and abstract task, depending chiefly upon arithmetical combinations, requiring much attention, and a cool and reasoning head to bring them into action. Our hero was liable to fits of absence, in which his blunders excited some mirth, and called down some reproof. This circumstance impressed him with ...
— Waverley, Or 'Tis Sixty Years Hence, Complete • Sir Walter Scott
... arithmetical computations which necessitated laborious application for several months could with ease be completed in as many days. It was remarked by Laplace that this invention was the means of doubling the life of an astronomer, besides enabling him to avoid errors and the tediousness ...
— The Astronomy of Milton's 'Paradise Lost' • Thomas Orchard
... Passionate Pilgrim, 1599, bound up with an early edition of Venus and Adonis, a former owner represents with perfect justice, that although he gave three-halfpence for the two volumes in one, a corner of a leaf was defective; and there has been furthermore a profound arithmetical computation that if this gentleman and his heirs or assigns had invested the amount in good securities, the capital at this moment would have reached the vicinity of L1000. In a copy of Stow's Survey, 1633, which once belonged to Sir Thomas Davies, Lord Mayor of ...
— The Book-Collector • William Carew Hazlitt
... is an adornment; but as soon as the original beat has been forgotten, they cease implicitly to be eccentric. Variety is what is sought; but if we destroy the original mould, one of the terms of this variety is lost, and we fall back on sameness. Thus, both as to the arithmetical measure of the verse, and the degree of regularity in scansion, we see the laws of prosody to have one common purpose: to keep alive the opposition of two schemes simultaneously followed; to keep them notably apart, though still coincident; and to balance them with such judicial nicety before ...
— The Works of Robert Louis Stevenson - Swanston Edition Vol. 16 (of 25) • Robert Louis Stevenson
... increase of positiveness might well have been in the ratio of the peculiarity, or unusualness, of the hairy mark. If, the feet of Marie being small, those of the corpse were also small, the increase of probability that the body was that of Marie would not be an increase in a ratio merely arithmetical, but in one highly geometrical, or accumulative. Add to all this shoes such as she had been known to wear upon the day of her disappearance, and, although these shoes may be 'sold in packages,' you so far augment the probability as to verge upon ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe
... Kaiser announces that two and two make five, jail awaits the subject who dares to ridicule that novel arithmetical proposition. ...
— Face to Face with Kaiserism • James W. Gerard
... largest number that can be named in Arithmetical notation. Hence, it implies, as the commentator correctly explains, the possessor of ...
— The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 4 • Kisari Mohan Ganguli
... incumbent task was that of developing the spiritual consciousness of men for which the Catholic Church provided an incomparable organization. But the interval was not entirely blank on the scientific side. Our system of arithmetical notation, including that invaluable item the cipher, took shape during the Middle Ages at the hands of the Arabs, who appear to have derived it in the main from India. Its value to science is an excellent object-lesson on the importance of the details ...
— Progress and History • Various
... by pedantic teachers is to demand too much Form; to insist that a piece of music shall be a model of arithmetical adjustment. This is probably a graver error than apparent formlessness. Design and logic and unity there must surely be; but any obtrusive evidence of mathematical calculation must degrade music to the level of ...
— Lessons in Music Form - A Manual of Analysis of All the Structural Factors and - Designs Employed in Musical Composition • Percy Goetschius
... cash value of which can be estimated—may be considered as a term in an arithmetical series which progresses in the ratio of one hundred, and the revenue yielded by this capital as the corresponding term of another arithmetical series which progresses in a ratio equal to the rate of interest. Thus, a capital of five hundred francs being ...
— What is Property? - An Inquiry into the Principle of Right and of Government • P. J. Proudhon
... smaller threads, also differently coloured and tied in knots. Indeed, the word 'quipu' means 'a knot.' By means of the colours and the various knots the Peruvians expressed ideas—it was their method of writing—but the quipus were chiefly used for arithmetical purposes. In every district officers were stationed who were called 'keepers of the quipus'; their duty was to supply the Government with information as to the revenues, births, deaths, and marriages, number ...
— The Red True Story Book • Various
... made the (false) discovery of the golden section, basing his speculating upon mathematics; Michael Angelo established an empirical canon for painting, attempting to give rules for imparting grace and movement to figures, by means of certain arithmetical proportions; others found special meanings in colours; while the Platonicians placed the seat of beauty in the soul, the Aristotelians in physical qualities. Agostino Nifo, the Averroist, after some inconclusive remarks, is at last fortunate enough to discover where natural ...
— Aesthetic as Science of Expression and General Linguistic • Benedetto Croce
... mountains, with the extent of valleys and lakes, with regular forts, mounds, and enclosures, with companies and bodies of men, with railroads, cities, and agricultural products, and with many other topics which suggest excellent practical problems in arithmetic for these grades. All such careful arithmetical computations add clearness and definiteness to historical and geographical ideas. The natural sciences have been so little systematically taught in our common schools, that we are scarcely able to realize what ...
— The Elements of General Method - Based on the Principles of Herbart • Charles A. McMurry
... Middle Term (men) is distributed in neither premise, yet the indisputable conclusion is a logical proposition. The premises, however, are really arithmetical; for 'most' means 'more than half,' or more than 50 ...
— Logic - Deductive and Inductive • Carveth Read
... tell, more than you can explain how it is, after you have puzzled your brain for a long time over an arithmetical problem, it ...
— The Telegraph Messenger Boy - The Straight Road to Success • Edward S. Ellis
... which are neuter in their character, neither making renown nor disgrace. Besides, as a long array of ciphers, led by but one solitary numeral, swell, by mere force of aggregation, into an immense arithmetical sum, even so, in some brilliant actions, do a crowd of officers, each inefficient in himself, aggregate renown when banded together, and led by a numeral Nelson or a Wellington. And the renown of such heroes, by outliving themselves, descends as a heritage to their subordinate survivors. ...
— White Jacket - or, the World on a Man-of-War • Herman Melville
... the single plant will have produced fifty more of its kind; by the end of the second year these will have increased to 2,500; and so on, in succeeding years, you get beyond even trillions; and I am not at all sure that I could tell you what the proper arithmetical denomination of the total number really is; but, at any rate, you will understand the meaning of all those noughts. Then you see that, at the bottom, I have taken the 51,000,000 of square miles, constituting the surface of the ...
— Darwiniana • Thomas Henry Huxley
... America, and second, with a dinner, as was meet in the descendants of Teutonic forefathers. The forenoon's oration glorified us in the lump as a people, and every man could reckon and appropriate his own share of credit by the simple arithmetical process of dividing the last census by the value he set upon himself, a divisor easily obtained by subtracting from the total of inhabitants in his village the number of neighbors whom he considered ciphers. At ...
— Atlantic Monthly, Volume 2, Issue 10, August, 1858 • Various
... months." and you rush on with anecdote and incident, and point out the binding, and that peculiar trick of gilding, and everything else you can think of; but it all will not do; you cannot rub out that roguish, arithmetical smile. People may talk about the equality of the sexes! They are not equal. The silent smile of a sensible, loving woman will vanquish ten men. Of course you repent, and in time form a habit ...
— Library Of The World's Best Literature, Ancient And Modern, Vol 4 • Charles Dudley Warner
... we do so is because we are apt to take too narrow a view of the whole; and also because we do not sufficiently consider that it is not the mere arithmetical sum of the parts that makes the whole, but also the harmonious agreement of each part with all the other parts. The extent of the whole and the harmony of the parts is what we have to look out for, and also its objective; ...
— The Law and the Word • Thomas Troward
... that he was worsted as regarded the illustration, and with a bit of the boy's fear of the pedagogue, he fought Anthony off by still pressing the arithmetical problem upon Master Gammon; until the old man, goaded to exasperation, ...
— The Shaving of Shagpat • George Meredith
... arithmetical skill of Rothschilds has found out how to gain millions by negotiating, out of the pockets of the public, loan after loan for the despots, to oppress the blind-folded nations, a sort of speculation has gained ground in the Old World, worthy of the execration of humanity—I mean the ...
— Select Speeches of Kossuth • Kossuth
... stars if he had thought of it. This is real parody, inseparable from admiration. It is the same in the parody of Dumas, which is arranged on the system of "Aramis killed three of them. Porthos three. Athos three." You cannot write that kind of thing unless you have first exulted in the arithmetical ingenuity of the plots of Dumas. It is the same in the parody of Charlotte Bronte, which opens with a dream of a storm-beaten cliff, containing jewels and pelicans. Bret Harte could not have written it unless he had really understood the triumph of the Brontes, the triumph of ...
— Varied Types • G. K. Chesterton
... the days and the hieroglyphs which mark them, and the complicated arithmetical methods by means of which they were employed, were carried most of the doctrines of the Nagualists, and the name by which they in time became known from central Mexico quite ...
— Nagualism - A Study in Native American Folk-lore and History • Daniel G. Brinton
... from her room she found Copernicus leaning over the table, one hand buried in his hair and the other wielding a pencil. He was absorbed in arithmetical calculations. ...
— The Panchronicon • Harold Steele Mackaye
... result as a barren mathematical expression. He would reduce it, if possible, to a practical and numerical form, at any cost of labour: and would use any approximations which would conduce to this result, rather than leave the result in an unfruitful condition. He never shirked arithmetical work: the longest and most laborious reductions had no terrors for him, and he was remarkably skilful with the various mathematical expedients for shortening and facilitating arithmetical work of a complex character. This power of handling arithmetic was of great value to him in the Observatory ...
— Autobiography of Sir George Biddell Airy • George Biddell Airy
... thus forced upon us is one which, even on such high authority, we are bound to accept. Before, at least, concurring in a solution of the question which, thus virtually bringing it within the limits of a simple arithmetical calculation, would summarily dispose of so many millions of the human race, we may remember that some things have been taught as possible which men, and even saints, may deem impossible; and, before attempting to reduce ...
— Diary of a Pedestrian in Cashmere and Thibet • by William Henry Knight
... of improvising may appear, it is not perhaps so much so as the mathematical faculty of a youth of eight years of age, Yorkshireman by birth, who has lately exhibited his talent for arithmetical calculation improvised in England and who in a few seconds, from mental calculation, could give the cube root of a number containing fifteen ...
— After Waterloo: Reminiscences of European Travel 1815-1819 • Major W. E Frye
... many or others are reduced to their strictest arithmetical meaning. That one is three or three one, is a proposition which has, perhaps, given rise to more controversy in the world than any other. But no one has ever meant to say that three and one are to be taken ...
— Parmenides • Plato
... controversy. It is what people less intelligent than Mr. Wells meant by calling themselves fin de siecle; though, of course, rationally speaking, there is no more reason for being sad towards the end of a hundred years than towards the end of five hundred fortnights. There was no arithmetical autumn, but there was a spiritual one. And it came from the fact suggested in the paragraphs above; the sense that man's two great inspirations had failed him together. The Christian religion was much more dead in the eighteenth ...
— The Victorian Age in Literature • G. K. Chesterton
... perhaps exaggerate when he affirms, that if any one among them can be made to comprehend that twice two make four, he may pass, in comparison with his countrymen, for a Descartes or a Newton. To most of them, this important arithmetical proposition ...
— A New Voyage Round the World, in the years 1823, 24, 25, and 26, Vol. 2 • Otto von Kotzebue
... have been an abject blockhead, as I believe most professional criminals are. His lack of observation was astounding. It is true that he began to be surprised and rather bewildered. He even noted that 'there seemed a bloomin' lot of 'em;' and the quality of his arithmetical feats and his verbal enrichments became, alike, increasingly lurid. I believe he would have gone on until daylight if I had not tried him too often with a Queen Anne teapot. It was that teapot, with its ...
— The Uttermost Farthing - A Savant's Vendetta • R. Austin Freeman
... of eyebrows, puckering of brows and hesitancy the canteen proprietor would complete a mental arithmetical sum in currency exchange. At last he would reluctantly quote a figure, and as a rule it was about fifty per cent. below the face value of the coin. Thus the soldier's shilling would only be valued at sixpence in ...
— Sixteen Months in Four German Prisons - Wesel, Sennelager, Klingelputz, Ruhleben • Henry Charles Mahoney
... that I abhor arithmetical calculations; besides which, I have no faith in any propositions of a political economist which he cannot make out readily without all this elaborate machinery of tables and figures. Under these circumstances, I put it to you, ...
— Memorials and Other Papers • Thomas de Quincey
... propositions her fine memory saved her. But with quick intuition she threw herself frankly upon the boy's generosity, and in the evenings together they, with Margaret's assistance, wrestled with the bewildering intricacies of arithmetical problems. Her open confession of helplessness, and her heroic attempts to overcome her defects, made irresistible appeal to the chivalrous heart of the little Highland gentleman. Thenceforth he was her champion for all that ...
— The Doctor - A Tale Of The Rockies • Ralph Connor
... (1820) and Statistical (1834) Societies. He only once endeavoured to enter public life, when, in 1832, he stood unsuccessfully for the borough of Finsbury. During the later years of his life he resided in London, devoting himself to the construction of machines capable of performing arithmetical and even algebraical calculations. He died at London on the 18th of October 1871. He gives a few biographical details in his Passages from the Life of a Philosopher (1864), a work which throws considerable light upon his somewhat peculiar character. His works, pamphlets ...
— Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 1 - "Austria, Lower" to "Bacon" • Various
... his brow; looked downwards, as if he were mentally engaged in some arithmetical calculation; then upwards, as if the total would not come at his call; then at Solomon Daisy, from his eyebrow to his shoe-buckle; then very slowly round the bar. And then a great, round, leaden-looking, and not at all transparent tear, came rolling ...
— Barnaby Rudge • Charles Dickens
... impulse of corresponding genius, and triumphantly exclaims: 'And I, too, am an author!' The glutted imagination soon overflows with the redundance of cheap sentiment and plentiful incident, and, by a sort of arithmetical proportion, is enabled by the perusal of any three novels, to produce a fourth; till every fresh production, like the prolific progeny ...
— A History of English Prose Fiction • Bayard Tuckerman
... the standing he might have had has been obliterated by two unfortunate incidents. His sinking-fund scheme was taken up by the younger Pitt, and proved, though the latter believed in it to the last, to be founded upon an arithmetical fallacy which did not sit well upon a fellow of the Royal Society. His sermon on the French Revolution provoked the Reflections of Burke; and, though much of the right was on the side of Price, it can hardly be said that he survived Burke's onslaught. Yet ...
— Political Thought in England from Locke to Bentham • Harold J. Laski
... the Baron de Nucingen informed Wilhelmine Adolphus that she had barely four hundred thousand francs deposited with him. The daughter of Adolphus of Manheim, thus reduced to an income of twenty-four thousand livres, lost herself in arithmetical ...
— The Firm of Nucingen • Honore de Balzac
... la circonference au diametre.'[43] From this he was led to attempt the solution of the problem. His first process was purely mechanical, and he was so far convinced he had made the discovery that he took to educating himself, and became an expert arithmetician, and then found that arithmetical results agreed with his mechanical experiments. He appears to have eked out a bare existence for many years by teaching arithmetic, all the time struggling to get a hearing from some of the learned societies, but without success. In the year 1855 he found ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan
... concentration, it cannot in a given time do half the work with half the attention. Further, there will be much which it cannot do at all unless working under full pressure. We shall not be overstating the case if we say that as attention increases in arithmetical ratio, mental efficiency increases in geometrical ratio. It is in large measure a difference in the power of attention which makes one man a master in thought and achievement and another his humble follower. One often ...
— The Mind and Its Education • George Herbert Betts
... be found difficult to grasp this point when stated in general terms. The following arithmetical example ...
— Supply and Demand • Hubert D. Henderson
... relation to chronology is the system of numeration and the arithmetical signs. These are discussed with considerable fulness, especially in the "Book of Chilan Balam of Kaua." The numerals are represented by exactly the same figures as we find in the Maya manuscripts of the libraries of Dresden, Pesth, Paris and Madrid; that is, by points or dots up to five, and the ...
— The Books of Chilan Balam, the Prophetic and Historic Records of the Mayas of Yucatan • Daniel G. Brinton
... since there may be some who, deluded by the specious show of discovering abstracted verities, waste their time in arithmetical theorems and problems which have not any use, it will not be amiss if we more fully consider and expose the vanity of that pretence; and this will plainly appear by taking a view of Arithmetic in its infancy, and observing what it was that originally put men on the study of that science, ...
— A Treatise Concerning the Principles of Human Knowledge • George Berkeley
... class and was discovered at Salamis. It was engraved on a block of marble, and measures 5 feet by 2. Its chief part consists of eleven parallel lines, the 3rd, 6th, and 9th being marked with a cross. Another section consists of five parallel lines, and there are three rows of arithmetical symbols. This board could only have been used with counters (calculi), preferably unmarked, as in our treatise of ...
— The Earliest Arithmetics in English • Anonymous
... rather a science than an amusement of social intercourse. The 'doctrine of chances' was studied with an assiduity that would have done honour to better subjects; and calculations were made on arithmetical and geometrical principles, to determine the degrees of probability attendant on games of mixed skill and chance, or even on the fortuitous throws of dice. Of course, in spite of all calculations, there were ...
— The Gaming Table: Its Votaries and Victims - Volume I (of II) • Andrew Steinmetz
... comparison with the Chess-Player of Maelzel. By no means—it is altogether beneath it—that is to say provided we assume (what should never for a moment be assumed) that the Chess-Player is a pure machine, and performs its operations without any immediate human agency. Arithmetical or algebraical calculations are, from their very nature, fixed and determinate. Certain data being given, certain results necessarily and inevitably follow. These results have dependence upon nothing, and are influenced by nothing but ...
— The Works of Edgar Allan Poe - Volume 4 (of 5) of the Raven Edition • Edgar Allan Poe
... of your tuts, Francesca," I said, "for I am engaged in a most complicated and difficult arithmetical calculation." ...
— Punch, Or The London Charivari, Volume 152, Feb. 7, 1917 • Various
... magicians, miracle workers, agents of communication with the dead, discoverers of the elixir of life, transmuters of metals, and healers of all sorts, as the Middle Ages never dreamed of as possible, yet we will not take our miracles in the form that convinced the Middle Ages. Arithmetical numbers appealed to the Middle Ages just as they do to us, because they are difficult to deal with, and because the greatest masters of numbers, the Newtons and Leibnitzes, rank among the greatest men. But there are fashions in numbers too. The Middle Ages took a fancy to some familiar ...
— Preface to Androcles and the Lion - On the Prospects of Christianity • George Bernard Shaw
... subtle than arithmetical conclusions; what more agreeable than musical harmonies; what more divine than astronomical, what ...
— The Anatomy of Melancholy • Democritus Junior
... that which is held in Astrology and in Philosophy since those movements were seen, there are nine moveable Heavens; the site of which is evident and determined, according to an Art which is termed Perspective, Arithmetical and Geometrical, by which and by other sensible experiences it is visibly and reasonably seen, as in the eclipses of the Sun it appears sensibly, that the Moon is below the Sun; and as by the testimony of ...
— The Banquet (Il Convito) • Dante Alighieri
... undoubtedly one of the most profound political economists of his time, declared that our madness had exceeded the madness of the Crusaders. Richard Coeur de Lion and Saint Lewis had not gone in the face of arithmetical demonstration. It was impossible to prove by figures that the road to Paradise did not lie through the Holy Land; but it was possible to prove by figures that the road to national ruin was through the national debt. It was idle, however, now to talk about the road; ...
— The History of England from the Accession of James II. - Volume 4 (of 5) • Thomas Babington Macaulay
... to the learned European Sanskritist and archeologist that, in the matter of chronology, the difference in the sum of their series of conjectural historical events, proves them to be mistaken from A to Z. They know that one single wrong figure in an arithmetical progression will always throw the whole calculation into inextricable confusion: the multiplication yielding, generally, in such a case, instead of the correct sum something entirely unexpected. A fair proof of ...
— Five Years Of Theosophy • Various
... together to make up the number 5, gradually now by means of the material image my hand, to the number 7, and by this process, I at length see the number 12 arise. That 7 should be added to 5, I have certainly cogitated in my conception of a sum 7 5, but not that this sum was equal to 12. Arithmetical propositions are therefore always synthetical, of which we may become more clearly convinced by trying large numbers. For it will thus become quite evident that, turn and twist our conceptions as ...
— The Critique of Pure Reason • Immanuel Kant
... but I may as well say now that most of the examination will be viva voce, and will consist of eight questions relating to the study of the French language, eight questions on the study of the German tongue, eight mathematical questions, eight arithmetical questions, eight questions on English History, and eight on English Literature. In addition, a piece of music will be played by each girl and a song sung by each; but the final and most searching test of all will be the essay, which in itself will contain, I doubt not, ...
— A Bunch of Cherries - A Story of Cherry Court School • L. T. Meade
... moved the highest admiration of J.J. Sylvester, was discovered and exhibited to him by one of his pupils, named Lipkin, who, however, it was afterwards found, had been anticipated by A. Peaucellier. Chebichev further constructed an instrument for drawing large circles, and an arithmetical machine with continuous motion. His mathematical writings, which account for some forty entries in the Royal Society's catalogue of scientific papers, cover a wide range of subjects, such as the theory of probabilities, ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 1 - "Chtelet" to "Chicago" • Various
... thousand a year, who meets another of the same fortune, fights with equal arms; but if to one of the candidates you add a thousand a year in places for himself, and a power of giving away as much among others, one must, or there is no truth in arithmetical demonstration, ruin his adversary, if he is to meet him and to fight with him every third year. It will be said, I do not allow for the operation of character; but I do; and I know it will have its weight in most elections; perhaps it may be decisive in some. But there are few in which it ...
— Thoughts on the Present Discontents - and Speeches • Edmund Burke
... one determined to argue for the uniformity of sign language as against the variety in unity apparent in all the realms of nature. On the "mean" principle, he only needs to take his two-foot rule and arithmetical tables and make all signs his signs and his signs all signs. Of course they are uniform, because he has made them so after the brutal example ...
— Sign Language Among North American Indians Compared With That Among Other Peoples And Deaf-Mutes • Garrick Mallery
... own efforts to beguile our better judgments. Whether the coincidence which I have mentioned was really one of those singular chances, which sometimes happen against all ordinary calculations; or whether Mannering, bewildered amid the arithmetical labyrinth and technical jargon of astrology, had insensibly twice followed the same clew to guide him out of the maze; or whether his imagination, seduced by some point of apparent resemblance, lent its aid to make the similitude between the two operations ...
— Guy Mannering • Sir Walter Scott
... world's age, by computing how many centuries go to the petrifying a cart wheel. A violent roar of dashing waters at the bottom, and a fall of the river at this place from the height of 150 feet, were however by no means favourable to my arithmetical studies; and I returned perfectly disposed to think the world's age a less profitable, a less ...
— Observations and Reflections Made in the Course of a Journey through France, Italy, and Germany, Vol. I • Hester Lynch Piozzi
... sovereign is a being more subtle than that. And less arithmetical. Neither my family nor your emancipated people. It is something that floats about us, and above us, and through us. It is that common impersonal will and sense of necessity of which Science is the best understood and most typical aspect. ...
— The World Set Free • Herbert George Wells
... know I was very fond of my mother, for she was always so sweet, and gentle, and tender with me, making the most tedious lessons pleasant by the way she explained them, and helping me when I was worried over some arithmetical question about how many men would do so much work in such and such a number of days if so many men would do the same work in another ...
— Brownsmith's Boy - A Romance in a Garden • George Manville Fenn
... are more signboards than men to own them. It may chance it is a full day in the harbour; he will then have seen all manner of ships, from men-of-war and deep-sea packets to the labour vessels of the German firm and the cockboat island schooner; and if he be of an arithmetical turn, he may calculate that there are more whites afloat in Apia bay than whites ashore in the whole Archipelago. On the other hand, he will have encountered all ranks of natives, chiefs and pastors in their scrupulous white clothes; perhaps the king himself, attended by guards ...
— The Works of Robert Louis Stevenson - Swanston Edition Vol. 17 (of 25) • Robert Louis Stevenson
... Arithmetical diversions, in a cold chamber, were the intellectual treat which awaited Margaret and her companions. Arithmetic and slates! Does anyone remember—can anyone forget—how horribly distasteful a slate can be ...
— The Mark Of Cain • Andrew Lang
... with spoken commands. The subject had to attend carefully to what he was told to do, since he was given each command only once, and some of the commands called for rather complicated reactions. The second page consisted of arithmetical problems, ranging from very simple at the top of the page to more difficult ones below, though none of them went into the more technical parts of arithmetic. One page tested the subject's information on matters of common knowledge; and another called for the selection ...
— Psychology - A Study Of Mental Life • Robert S. Woodworth
... and loss account, which she did at least once each evening. The result was always on the right side and always large, and he was not quite clear that it did not necessarily represent a sure fact, if a future one. Figures had always irritated him, but, as she performed all the arithmetical processes and he simply had to exert his intelligence to the extent of grasping what each item stood for, he was pleased to find ...
— Cleo The Magnificent - The Muse of the Real • Louis Zangwill
... partially complied with, the result will only be a half finished product or a doubtful alloy, a few rough drafts of the sciences, the rudiments of pedagogy as with Rousseau, of political economy with Quesnay, Smith, and Turgot, of linguistics with Des Brosses, and of arithmetical morals and criminal legislation with Bentham. Finally, if none of these conditions are complied with, the same efforts will, in the hands of philosophical amateurs and oratorical charlatans, undoubtedly only produce mischievous compounds and destructive ...
— The Origins of Contemporary France, Volume 1 (of 6) - The Ancient Regime • Hippolyte A. Taine
... with the light upon their high foreheads—and cheerfully, and even with a sense of satisfaction, he would untie the bald, prosaic roll of paper, and seating himself at his window overlooking the long terrace, he would add up the figures submitted to him, detecting the smallest arithmetical error, making note of the least delay in payment of any money due, and questioning the slightest overpayment for work done. The morning hours fled as he pursued his congenial task; and from time to time he would let his thoughts ...
— A Mere Accident • George Moore
... money, grown restless, has absurd delusions, etc. In order to ascertain the capacity of the mind, questions should be asked with regard to age, birthplace, profession, number of family, and common events, such as the day of week, month, and year. The power of performing simple arithmetical operations may be tested. It may be necessary to pay more than one visit. The examiner should be careful to ask questions adapted to the station of life of the supposed lunatic; a man is not necessarily mad because ...
— Aids to Forensic Medicine and Toxicology • W. G. Aitchison Robertson
... Finally an arithmetical problem on the board caught my eye, and was surreptitiously transferred to my note-book for future reference. It ran something like this: "A poor old lady owns one thousand cents. She loses 189 of the cents. How many left has she?" The master, ...
— A Woman's Journey through the Philippines - On a Cable Ship that Linked Together the Strange Lands Seen En Route • Florence Kimball Russel
... command, nor of the lithe and sinewy force of his extraordinarily nimble, as well as massive, mind; nor need I say more than one word about the remarkable combination of qualities so generally held and seen to be incompatible, which put into one personality a genius for dry arithmetical figures and a genius for enthusiasm and sympathy with all the oppressed. All these things have been said far better than I can say them, and I do not ...
— Expositions of Holy Scripture - Genesis, Exodus, Leviticus and Numbers • Alexander Maclaren
... may want us for a month or six weeks," the man said. "Just think, maybe I'll get fifty or sixty dollars! and Baby will get well right off," cried Jimmy, in an arithmetical sort of rapture, as he leaned above Kitty, who tried to clap her little hands without quite knowing what the ...
— Aunt Jo's Scrap-Bag, Vol. 5 - Jimmy's Cruise in the Pinafore, Etc. • Louisa M. Alcott
... step from it (bating the case of idiots, whom Prignitz, who had lived many years in Turky, supposes under the more immediate tutelage of Heaven)—it so happens, and ever must, says Prignitz, that the excellency of the nose is in a direct arithmetical proportion to the excellency of ...
— The Life and Opinions of Tristram Shandy, Gentleman • Laurence Sterne
... his Christian fellow-citizens. All were sons of the same Father, as he would frequently say from the platform. But in his heart of hearts he cherished a contempt, softened by stupefaction, for the arithmetical ...
— Ghetto Comedies • Israel Zangwill
... two samples than in the case of the two dumps. If common sense were not sufficient demonstration of this, it can be shown algebraically. Were samples equidistant from each other, and were they of equal width, the average value would be the simple arithmetical mean of the assays. But this is seldom the case. The number of instances, not only in practice but also in technical literature, where the fundamental distinction between an arithmetical and a geometrical mean is lost sight of ...
— Principles of Mining - Valuation, Organization and Administration • Herbert C. Hoover
... may conclude in what manner we intend to treat the wretched inhabitants of the other side of the Rhine. This Daru is too good a calculator and too fond of money to throw away his expenses; he is master of a great fortune, made entirely by his arithmetical talents, which have enabled him for years to break all the principal gambling-banks on the Continent, where he has travelled for no other purpose. On his return here, he became the terror of all our gamesters, who offered him an annuity of one hundred ...
— Memoirs of the Court of St. Cloud, Complete - Being Secret Letters from a Gentleman at Paris to a Nobleman in London • Lewis Goldsmith
... Elisee Reclus. One revelled at will in the ruin of every society in the past, and rejoiced in proving the prospective overthrow of every society that seemed possible in the future; but meanwhile these societies which violated every law, moral, arithmetical, and economical, not only propagated each other, but produced also fresh complexities with every propagation and developed mass with ...
— The Education of Henry Adams • Henry Adams
... Jerusalem. The city and the temple suddenly meet his view, as he reaches the height, and he is deeply moved. Any reflective mind might well have been stirred by the thought of the masses of men gathered there. Nothing is so futile as an arithmetical numbering of people, for after a certain point figures paralyse the imagination, and after that they tell the mind little or nothing. But here was actually assembled the Jewish people, coming in swarms from all the ...
— The Jesus of History • T. R. Glover
... demonstration; and though in the one case the proofs be demonstrative, and in the other only sensible, yet generally speaking, the mind acquiesces with equal assurance in the one as in the other. And in an arithmetical operation, where both the truth and the assurance are of the same nature, as in the most profound algebraical problem, the pleasure is very inconsiderable, if rather it does not degenerate into pain: Which is an evident proof, that the satisfaction, which we sometimes receive ...
— A Treatise of Human Nature • David Hume
... Pancks, 'enough of that. Altro, old boy, you have seen the figures, and you know how they come out.' Mr Baptist, who had not the slightest arithmetical power of compensating himself in this way, nodded, with a fine display ...
— Little Dorrit • Charles Dickens
... our knowledge of the 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 and laborious ...
— The Literature of the Ancient Egyptians • E. A. Wallis Budge
... difficulty, some of the puzzles, especially in the Arithmetical and Algebraical category, are quite easy. Yet some of those examples that look the simplest should not be passed over without a little consideration, for now and again it will be found that there is some ...
— Amusements in Mathematics • Henry Ernest Dudeney
... press throughout Eurasia, which he announced as the name of the Empire in future, and the reason that he gave for it was that his people were composed of a great many nationalities and by dividing the empire into districts and numbering them in arithmetical order he abolished the old political divisions and he also decreed that the present language we speak should be the official language of the empire for the ancient language of the ruling class had created a bitter feeling ...
— Eurasia • Christopher Evans
... definitions elementary algebraic properties of functions to which a numerical value was not attached till long afterwards, rendering abstract to us what was concrete to the old geometers." How do these statements tally with his doctrine? Again, having divided the calculus into algebraic and arithmetical, M. Comte admits, as perforce he must, that the algebraic is more general than the arithmetical; yet he will not say that algebra preceded arithmetic in point of time. And again, having divided the calculus ...
— Essays on Education and Kindred Subjects - Everyman's Library • Herbert Spencer
... painful possibility, I will not (as I might) appeal indignantly to my other writings as a proof that I am incapable of such a deed: I will not (as I might) point to the strong moral purpose of this poem itself, to the arithmetical principles so cautiously inculcated in it, or to its noble teachings in Natural History—I will take the more prosaic course of simply explaining how ...
— The Hunting of the Snark - an Agony, in Eight Fits • Lewis Carroll
... the natural right of the new-born baby. I do not see this theory to be self- evident: on the other hand the supporters of it always give it as fundamental, axiomatic; they no doubt presume rightly that the land is limited, and that if one man holds more than his arithmetical share, he must push out somebody else from his arithmetical share: while a man who keeps a hundred pocket-knives does not perceptibly hinder other people having numerous pocket-knives. Still I do not see how this consideration weighs ...
— Speculations from Political Economy • C. B. Clarke
... says (Ethic. ii, 6; v, 4) that the mean of justice is to be taken according to "arithmetical" proportion, so that ...
— Summa Theologica, Part II-II (Secunda Secundae) • Thomas Aquinas
... inferred with rather too much certainty or universality; the variation at each step may be unobserved, and yet at last the divergence becomes considerable. Hence the failure of attempts to apply arithmetical or algebraic formulae to logic. The imperfection, or rather the higher and more elastic nature of language, does not allow words to have the precision of numbers or of symbols. And this quality in language impairs the force of an argument which ...
— The Republic • Plato
... nearness, composition (or rather compaction) and decomposition, in short, the relations of unproductive particles to each other; so that in every instance the result is the exact sum of the component qualities, as in arithmetical addition. This is the philosophy of Death, and only of a dead nature can it hold good. In Life, and in the view of a vital philosophy, the two component counter-powers actually interpenetrate each other, and generate a higher third, including both the former, ...
— Hints towards the formation of a more comprehensive theory of life. • Samuel Taylor Coleridge
... dressed in white velvet stamped with golden fleurs-de-lys —ladies with hearts of ice and lips of fire, who count their roubles by the million, their lovers by the score, and even their husbands, very often, in figures of some arithmetical importance. With these are the immaculate daughters of itinerant Italian musicians—maids whose souls are unsoiled amidst the contaminations of our streets, and whose acquaintance with the art of Phidias and Praxiteles, of Daedalus ...
— Letters to Dead Authors • Andrew Lang
... thirteenth century MS. carried away by the French from Heidelberg in 1656, the loss of which had ever since been regarded as a national calamity in Germany. For L6000 in cash and this precious volume, he handed over the 166 Libri and Barrois MSS. to the Bibliotheque Nationale. By a simple arithmetical process, we can conclude that L18,000 was the net cost to the German Exchequer of a single volume of old German ballads—the highest price ever paid for a book.' The stolen manuscripts which were not required to replace those ...
— English Book Collectors • William Younger Fletcher
... which occupied the "local position" of any denomination, when none of that precise denomination occurred in the number itself? Under this view the process at least becomes simple and natural; and as the early merchants contributed so largely to the improvement of our arithmetical processes, such a conclusion is wholly divested of improbability on any other ground. The circle would then naturally become, as it certainly has practically become, the most appropriate symbol ...
— Notes and Queries 1850.04.06 • Various
... 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
... indefinite and is rendered definite through the action of thought. Bardili worked out his idea in a one-sided manner. He held that thought has in itself no power of development, and ultimately reduced it to arithmetical computation. He published Grundriss der ersten Logik (Stuttgart, 1800); Ueber die Gesetze der Ideenassociation (Tuebingen, 1796); Briefe ueber den Ursprung der Metaphysik (Altona, 1798); Philos. Elementarlehre (Landshut, 1802-1806); Beitraege ...
— Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 3 - "Banks" to "Bassoon" • Various
... shrewdness combined had helped him on, and he had interested himself in all the great enterprises of both worlds. He threw himself boldly into commercial and industrial speculations. His inexhaustible funds were the life of hundreds of factories, his ships were on every sea. His wealth increased not in arithmetical but in geometrical progression. People spoke of him as one of those few "milliardaires" who never know how much they are worth. In reality he knew almost to a dollar, but he never boasted ...
— Godfrey Morgan - A Californian Mystery • Jules Verne
... something exceedingly remarkable in the unitive powers of music. In the first place, its present popularization cannot fail to multiply the relations of men with one another, as each separate instrument, like an arithmetical figure, has an absolute, as well as a relative value. It may not be sufficient in itself to produce harmony; but when placed in UNION with others, it gains a double or triple value, according to the part assigned it in a musical Whole. A single jar in time or tune spoils the ...
— The Continental Monthly, Vol. 4, No. 5, November, 1863 • Various
... the closing sentence Miss Quincey's MS. had become a sightless blur. But she had managed to jot down in her neat arithmetical way: ...
— Superseded • May Sinclair
... the first two are of equal importance to us, the third rarely of value, because we lack arithmetical cases and because probability of that kind is only of transitory worth and has always to be so studied as to lead to an actual counting of cases. It is of this form of probability that Mill advises to know, before applying a calculation of probability, the necessary facts, i. e., the relative frequency ...
— Robin Hood • J. Walker McSpadden
... engaged in an arithmetical calculation. He bent his brows, and his lips moved. "That would be over seven years' interest money, at forty-two dollars a year, anyway," he said at length, looking at the ...
— Jerome, A Poor Man - A Novel • Mary E. Wilkins Freeman
... imagine, by Mallett and Coppinger, with Crood's approval and consent. They were never shown to me. In short, my position has been this, simply, I have had certain accounts placed before me by the Town Trustees with the curt intimation that my sole duty was to see that the merely arithmetical features were correct and ...
— In the Mayor's Parlour • J. S. (Joseph Smith) Fletcher
... reasoning. Indeed I doubt whether many of the pretentious sciolists, who insist so much on young children giving the rationale of everything, have themselves ever yet made an ultimate analysis of the first step in arithmetical notation. Many of them would open their eyes were you to tell them, for instance, that the number of fingers on your two hands may be just as correctly expressed by the figures 11, 12, 13, 14, or 15, as by the figures 10,—a truism perfectly familiar to every ...
— In the School-Room - Chapters in the Philosophy of Education • John S. Hart
... hundred; and twenty or thirty years hence, to a thousand. On the other hand, the ratio of Pennsylvania, if applied to the State of Delaware, would reduce the representative assembly of the latter to seven or eight members. Nothing can be more fallacious than to found our political calculations on arithmetical principles. Sixty or seventy men may be more properly trusted with a given degree of power than six or seven. But it does not follow that six or seven hundred would be proportionably a better depositary. And if we carry on the supposition to six or seven thousand, the whole ...
— The Federalist Papers • Alexander Hamilton, John Jay, and James Madison
... have worked out on paper wonderful arithmetical problems concerning the partition of the soil of the forest into small plots of ground for the poor. Paper is very forbearing, and it looks very idyllic and comfortable to see, carefully calculated before our eyes, how many hundreds of ...
— The German Classics of The Nineteenth and Twentieth Centuries, Vol. VIII • Various
... first philosophy. The first is this axiom, "If to unequals you add equals, all will be unequal." This, he says, is an axiom of justice as well as of mathematics; and he asks whether there is not a true coincidence between commutative and distributive justice, and arithmetical and geometrical proportion. But I would ask in my turn whether the certainty that any arithmetician or geometrician has of the arithmetical or geometrical truth will lead him to discover this coincidence. I ask whether the most profound lawyer who never ...
— Letters to Sir William Windham and Mr. Pope • Lord Bolingbroke
... greater than any that can be found in this bill (a cry of "No!"). Yes; far greater. Answer me, if you can; but do not interrupt me. On this point, indeed, it is much easier to interrupt than to answer. For who can answer plain arithmetical demonstration? Under the present system, Manchester, with two hundred thousand inhabitants, has no members. Old Sarum, with no inhabitants, has two members. Find me such an anomaly in the schedules which are now on the table. But is it possible that you, that Tories, can seriously ...
— The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 4 (of 4) - Lord Macaulay's Speeches • Thomas Babington Macaulay
... man in the country that year repented of his vices so sincerely as Richard Hardie loathed his virtue. And he did not confine his penitence to sentiment: he began to spend his days at the bank poring over the books, and to lay out his arithmetical genius in a subtle process, that should enable him by degrees to withdraw a few thousands from human eyes for his future use, despite the feeble safeguards of the existing law. In other words, ...
— Hard Cash • Charles Reade
... the actors in some sensational crime, about some seductive murderess, about the wrongs of some far-off and often half-savage race. 'In one of these Lancashire weavers dying with hunger there is more thought and heart, a greater arithmetical amount of misery and desperation, than in whole gangs of Quashees.' He maintained, too, that a strain of sentiment about criminals was very prevalent in his day, which tended seriously to obliterate or diminish the real difference between right and wrong. He hated with an intense hatred ...
— Historical and Political Essays • William Edward Hartpole Lecky
... that could ever happen? I want her to live in town, you want her to stay at home. The arithmetical result would be that she remain at the railway station midway between train and home. This is a knot that cannot ...
— Plays: The Father; Countess Julie; The Outlaw; The Stronger • August Strindberg
... impoverished, inert, or languid social body, solely capable of intermittent spasms or of artificial rigidity according to order, an organism deprived of its secondary organs, simplified to excess, of an inferior or degraded kind, a people no longer anything but an arithmetical sum of separate, unconnected units, in brief, human dust or mud.—This is what the interference ...
— The Origins of Contemporary France, Volume 5 (of 6) - The Modern Regime, Volume 1 (of 2)(Napoleon I.) • Hippolyte A. Taine
... families. In 1825 Doebereiner observed that an interesting relation exists between the atomic weights of chemically similar elements. To illustrate, lithium, sodium, and potassium resemble each other very closely, and the atomic weight of sodium is almost exactly an arithmetical mean between those of the other two: (7.03 39.15)/2 23.09. In many chemical and physical properties sodium is ...
— An Elementary Study of Chemistry • William McPherson
... military and naval drill. A small boy played the fife while the others went through their exercises. After that a boys' band appeared, the youngsters being dressed in a neat uniform. Then came a choral class, who sang 'the praises of a summer's day to a harmonium.' In the arithmetical exercises the small piper ...
— Charles Dickens and Music • James T. Lightwood
... repeatedly taken pen in hand to answer your kind letter. My sister should more properly have done it, but she having failed, I consider myself answerable for her debts. I am now trying to do it in the midst of Commercial noises, and with a quill which seems more ready to glide into arithmetical figures and names of Goods, Cassia, Cardemoms, Aloes, Ginger, Tea, than into kindly ...
— The Works of Charles and Mary Lamb, Vol. 5 • Edited by E. V. Lucas
... said Alice, "and I have no doubt we shall untie the knot of those arithmetical problems very soon. But, Ellen, my dear, I cannot help you in French, for I do not know it myself. What will you ...
— The Wide, Wide World • Susan Warner
... of his garden was rather striking. He laid out each bed in the shape of an arithmetical figure. The pansy beds were in figure eights, the nasturtiums were pruned and ordered into stubby figure ones, while the asters and fall flowers ranged from ...
— Bambi • Marjorie Benton Cooke
... experience of the ways of Income Tax Commissioners. These gentlemen acted on even vaguer principles than those on which they once assessed a poor dramatic amateur, who had by accident received L6 "author's rights" for a week, at L300 per annum, on the sound arithmetical argument that there are fifty (indeed, there are fifty-two) weeks in a year, and that fifty times six is three hundred. They put Mr Arnold's literary profits at L1000, and he had to expostulate in person before they would let him down to L200, ...
— Matthew Arnold • George Saintsbury
... heavens were the cup of a great bell, and all the stars were welded into a silvery tongue and swung from side to side until it struck, "Come!" As though all the great guns of eternal disaster were discharged at once, and they boomed forth in one resounding cannonade of "Go!" Arithmetical sum in simple division. Eternity the dividend. The figure two the divisor. ...
— New Tabernacle Sermons • Thomas De Witt Talmage
... of food is vital and permanent. The desire for food, immediate and prospective, is the first motive of all animal activity, but the amount of food available in the world is limited, and the possible increase of food is estimated by Malthus at an arithmetical ratio. ...
— The Fertility of the Unfit • William Allan Chapple
... was their usage in their business. Although there are no arithmetical numbers among their characters, such as we use, they counted with little stones, making small heaps of them, and made use of the natural words of their own speech, which are very expressive in Tagalog; and they did ...
— The Philippine Islands, 1493-1898 - Volume 40 of 55 • Francisco Colin
... through India and Islam to the medieval Europe that inherited their learning. There are many differences, notably because of the especial development of that peculiar characteristic of the West, mathematical astronomy, conditioned by the almost accidental conflux of Babylonian arithmetical methods with those of Greek geometry. However, the lines are surprisingly similar, with the exception only of the crucial invention of the escapement, a feature which seems to be replaced by the influx of ideas connected ...
— On the Origin of Clockwork, Perpetual Motion Devices, and the Compass • Derek J. de Solla Price
... remuneration. You do not expect a man like me to keep ledgers and check butcher's bills like a twopennyhalfpenny clerk in the City. It is you, my dear Mr. Pogson, who have curious ideas of club management. You should put this sort of thing into the hands of some arithmetical hireling. I—" he waved his long fingers tipped with their long nails, magnificently—"am the picturesque, the intellectual, the spiritual guide of ...
— The Beloved Vagabond • William J. Locke
... he possibly regain muscular control in time to save the lives of some of the eighteen? As he watched the five go into the furnace, one by one, he began to despair of saving any of the eighteen, but with each operation Barter lost mental strength. If he lost in arithmetical progression as he had during the last five, Bentley estimated that he, Bentley, would be able to move his arms enough to grasp the incineration tube by the time Barter had finished ...
— The Mind Master • Arthur J. Burks
... 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 14 to 16 inches. The largest number of eggs recorded ...
— The Lobster Fishery of Maine - Bulletin of the United States Fish Commission, Vol. 19, Pages 241-265, 1899 • John N. Cobb
... Lincoln wrote a clear, neat, legible hand, was quick at figures and able to solve easily any arithmetical problem not going beyond the "Rule of Three." Mr. Arnold, noting these facts, says: "I have in my possession a few pages from his manuscript 'Book of Examples in Arithmetic' One of these is dated March 1, 1826, and headed 'Discount,' and then follows, in his careful ...
— The Every-day Life of Abraham Lincoln • Francis Fisher Browne
... woman, which aroused every latent power to do or die, and thereafter he took all the school prizes. Scott began to like poetry at thirteen. Pascal wrote treatises on conic sections at sixteen and invented his arithmetical machine at nineteen. Nelson went to sea at twelve; commanded a boat in peril at fifteen, which at the same age he left to fight a polar bear. Banks, the botanist, was idle and listless till fourteen, could not travel ...
— Youth: Its Education, Regimen, and Hygiene • G. Stanley Hall
... was not to be. He was not without success in the circus which he subsequently joined, but he was improvident. His income increased in arithmetical progression, and his expenditure in geometrical. This, as Dr. Micawber and Professor Malthus have shown us, must end in disaster. Looking at it from the noblest point of view—the autobiographical—I saw that a marriage with Hugo ...
— Marge Askinforit • Barry Pain
... Science,' exclaims he, 'proceed in the small chink-lighted, or even oil-lighted, underground workshop of Logic alone; and man's mind become an Arithmetical Mill, whereof Memory is the Hopper, and mere Tables of Sines and Tangents, Codification, and Treatises of what you call Political Economy, are the Meal? And what is that Science, which the scientific head alone, were it screwed off, and (like the Doctor's in the Arabian ...
— Sartor Resartus, and On Heroes, Hero-Worship, and the Heroic in History • Thomas Carlyle
... except for the purpose of obtaining his opinion and counsel on all the serious concerns of his neighbours. He prescribed for the sick, and often provided the medicine they required—expounded the law—adjusted disputes—made all their little arithmetical calculations—gave them moral instruction—and, when he could not afford them relief in their difficulties, he taught them patience, and gave them consolation. He, in short, united, for the simple people by whom he ...
— A Voyage to the Moon • George Tucker
... like in a parenthetical section to expand and render rather more concrete this idea of the species as one divaricating flow of blood, by an appeal to its arithmetical aspect. I do not know if it has ever occurred to the reader to compute the number of his living ancestors at some definite date, at, let us say, the year one of the Christian era. Everyone has two parents and four grandparents, most people have eight great-grandparents, ...
— First and Last Things • H. G. Wells
... exchange is based on what is called the quantitative theory of money. This theory is still occasionally called in question, but is on the whole accepted by most economists of to-day, and seems to me to be a mere arithmetical truism if we only make the meaning of the word "currency" wide enough; that is to say, if we define it as including all kinds of commodities, including pieces of paper and credit instruments, which are normally accepted in payment for goods and services. This addition of credit instruments, ...
— War-Time Financial Problems • Hartley Withers |
