"Arithmetical" Quotes from Famous Books
 ... meta-physical impossibility implied in the attempt to extend its application to persons. It is possible, we admit, to ordain by local law that four and four make ten, but such an exercise of legislative wisdom could not overcome certain arithmetical prejudices innate in our minds, or dethrone the stubborn eight from its accustomed position in our thoughts. But you might as well ordain that four and four make ten as ordain that a man has no right to himself, but can properly be held as the chattel of another. Yet this arrogant falsehood ...
— Atlantic Monthly, Vol. 9, No. 55, May, 1862 • Various
... zero to 2, and [theta] is the inclination of the mirror. In the perspective view, Fig. 1, the curved edge cuts the scale at 1. The instrument being thus set, the following elements may be read either directly on the scales or by simple arithmetical calculation: ...
— Scientific American Supplement, No. 832, December 12, 1891 • Various
... interpreter's jargon, but it elucidates no principle. It is also convenient for any 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
... powers of their mind lie yet profoundly dormant; and La Perouse does not 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 would ...
— A New Voyage Round the World, in the years 1823, 24, 25, and 26, Vol. 2 • Otto von Kotzebue
... There they taught youth to draw plans of fields which were for the most part rectangular, also to take the elevation of land by means of two laths and a square. In this department also they explained the art of writing numbers no less involved in hieroglyphic or demotic characters. But pure arithmetical problems formed a higher course, and were solved ...
— The Pharaoh and the Priest - An Historical Novel of Ancient Egypt • Boleslaw Prus
... have done. Greek and Latin are going or gone, but a modicum of Mathematics seems to be indispensable to the modern curriculum. The domestic pig has on many occasions shown a capacity for mastering simple arithmetical processes, and we know that the pupil always ends by bettering his master. Under a more enlightened and humane regime I confidently look forward to the time when our children will learn the Rule of Three, not from highly-paid and ...
— Punch, or the London Charivari, Vol. CLVIII, January 7, 1920 • Various
... 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, rolled ...
— The Shaving of Shagpat • George Meredith
... there is a theoretical decrease in the life and total efficiency of the machine; after a run of five hundred or a thousand miles this decrease is very perceptible. The trouble is that while the distance covered increases in arithmetical progression, the deterioration of the machine is in geometrical. During the first few days a good machine requires comparatively little attention each day; during the last weeks of a long tour it requires double the attention and ...
— Two Thousand Miles On An Automobile • Arthur Jerome Eddy
... in the world. There was no valuing it by any regular computation, however, for it was one solid diamond—and if it were offered for sale not only would the bottom fall out of the market, but also, if the value should vary with its size in the usual arithmetical progression, there would not be enough gold in the world to buy a tenth part of it. And what could any one do ...
— Tales of the Jazz Age • F. Scott Fitzgerald
... as 'amen', 'cabala', 'cherub', 'ephod', 'gehenna', 'hallelujah', 'hosanna', 'jubilee', 'leviathan', 'manna', 'Messiah', 'sabbath', 'Satan', 'seraph', 'shibboleth', 'talmud'. The Arabic words in our language are more numerous; we have several arithmetical and astronomical terms, as 'algebra', 'almanack', 'azimuth', 'cypher'{5}, 'nadir', 'talisman', 'zenith', 'zero'; and chemical, for the Arabs were the chemists, no less than the astronomers and arithmeticians of the ...
— English Past and Present • Richard Chenevix Trench
... overhanging 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. Your unalterable destiny ...
— New Tabernacle Sermons • Thomas De Witt Talmage
... the New Shakespeare Society, whom he characterizes as "learned and laborious men who could hear only with their fingers. They will pluck out the heart, not of Hamlet's, but of Shakespeare's mystery by the means of a metrical test; and this test is to be applied by a purely arithmetical process. . . . Every man, woman, and child born with five fingers on each hand was henceforward better qualified as a critic than any poet or scholar of time past." He calls them "metre-mongers" and the "bastard brood of scribblers". Lanier, however, while ...
— Sidney Lanier • Edwin Mims
... livelihood. Reacting against the theories of Condorcet and of Godwin concerning the natural equality, perfectability, and inevitable progress of man, Malthus in 1798 stated the dismal law that population tends to increase in geometrical progression and subsistence in arithmetical progression. In the preface to the second edition of his Essay on the Principle of Population Malthus acknowledged his indebtedness to "Hume, Wallace, Dr. Adam Smith and Dr. Price." Adam Smith no doubt anticipated and perhaps suggested to Malthus his thesis in such passages ...
— Introduction to the Science of Sociology • Robert E. Park
... should a people be able to comprehend astronomy, to know the position of the heavenly bodies, and determine the orbits of the planets, while it is ignorant of the elements of mathematics, and makes its calculations by the help of vertical arithmetical tables, like those used by the shop-keepers in Russia, and who are ignorant both of analysis ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 10, Issue 266, July 28, 1827 • Various
... the infallible revelation of God to man, and that its statements concerning God and man are to be unhesitatingly accepted as statements made upon the authority of God. They turn to its pages, and they find historical errors, arithmetical mistakes, scientific blunders (or, rather, blunders most unscientific), inconsistencies, and manifold contradictions; and, what is far worse, they find that the most horrible crimes are committed by men who calmly plead in justification of their terrible misdeeds ...
— God and my Neighbour • Robert Blatchford
... all, a certain justice in the query. A novelist may also write a play or a sociological treatise: he remains a novelist and we know him for what he is. What, then, is Mr. Belloc? If we examine his works by a severely arithmetical test, we shall find that the greater part of them is devoted to description of travel. You will find his greatest earnestness, perhaps his greatest usefulness, in his history: but his travel lies behind his history ...
— Hilaire Belloc - The Man and His Work • C. Creighton Mandell
... his first edition a proposition which continued to be worried by all his assailants. Population, he said, when unchecked, increases in the geometrical ratio; the means of subsistence increase only in an arithmetical ratio. Geometrical ratios were just then in fashion.[218] Price had appealed to their wonderful ways in his arguments about the sinking fund; and had pointed out that a penny put out to 5 per cent. compound ...
— The English Utilitarians, Volume II (of 3) - James Mill • Leslie Stephen
... 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 not believe ...
— The Kasidah of Haji Abdu El-Yezdi • Richard F. Burton
... been determined, the first fret is to be placed at 1/18 of that distance from the nut, the distance from the first to the second is to be 1/18 of the remainder, and so on. To determine these distances by computation, then, is a simple enough arithmetical exercise; but it is exceedingly tedious, since the denominators of the fractions involved increase with great rapidity; being successive powers of the comparatively large number 18, they ...
— Scientific American Supplement, No. 794, March 21, 1891 • Various
... 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 midway between the ...
— An Elementary Study of Chemistry • William McPherson
... New South Wales at Twenty Thousand, a plain Arithmetical progression will prove that the present Stock may increase in Twenty Years to Five Millions, and calculating two pounds and a half of clear washed Wool to each Sheep, they would produce almost twice as much Wool as England now purchases from Spain at an Annual ...
— A Source Book Of Australian History • Compiled by Gwendolen H. Swinburne
... example. "I mean 'The Garden of Cyrus,' by Sir Thomas Browne. I can't follow him a bit, and yet, somehow, he drags me along with him. All that about the quincunx is most baffling. He seems to begin with the arrangement of a garden, and then to lead one on through a maze of arithmetical progressions till one finds oneself landed in a mystical philosophy of life and creation, and I don't know what all. If I could only understand him better I should ...
— Austin and His Friends • Frederic H. Balfour
... twenty-six blanks or silver balls, in all sixty; and into the side urns sixty gold balls, divided into each according to the different number of the horse and foot; that is to say, if the horse and the foot be equal, equally, and if the horse and the foot be unequal, unequally, by an arithmetical proportion. The like shall be done the second day of the muster for the second list, except that the censors shall put into the middle urn thirty-six gold balls with twenty-four blanks, in all sixty; and sixty gold balls ...
— The Commonwealth of Oceana • James Harrington
... effort of memory. Most people, including myself, play chess (when they play it at all) from hand to mouth, and can hardly recall the last move but one, or foresee the next but two. Also, when I have to make an arithmetical calculation, I have to do it step by step with pencil and paper, slowly, reluctantly, and with so little confidence in the result that I dare not act on it without 'proving' the sum by a further calculation involving more ciphering. But there are men who can neither read, ...
— Back to Methuselah • George Bernard Shaw
... the particular individual. This of course is not one nor the same to all: for instance, suppose ten is too much and two too little, people take six for the absolute mean; because it exceeds the smaller sum by exactly as much as it is itself exceeded by the larger, and this mean is according to arithmetical proportion. ...
— Ethics • Aristotle
... original seat of the Hellenic people, ceased to have much importance, in the eyes of historians, from the time when it became a conquered province; and it declined into absolute insignificance after the conquest of so many other provinces had degraded Hellas into an arithmetical unit, standing amongst a total amount of figures, so vast and so much more dazzling to the ordinary mind. Hence it was that in ancient times no complete history of Greece, through all her phases and stages, was ever attempted. The greatness ...
— Theological Essays and Other Papers v1 • Thomas de Quincey
... requiring a God who should be at once material and immaterial, abstraction and concretion; or, for a still more confounding paradox to Reason (considered as antagonist to Faith, in lieu of being strictly its ally), an arithmetical contradiction, an algebraic mystery, such as would be included in the idea of Composite Unity; one involving many, and many collapsed into one. Some such enigma was probable in Reason's guess at the nature of his God. It is the Christian way; and one entirely unobjectionable: because it is the only ...
— The Complete Prose Works of Martin Farquhar Tupper • Martin Farquhar Tupper
... 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 data originally given. And the question to be solved ...
— The Works of Edgar Allan Poe - Volume 4 (of 5) of the Raven Edition • Edgar Allan Poe
... medium, refracting and distorting the rays of primitive truth. We often seem clear, when in reality the twilight of undistinguishing night has crept fast and far upon us. In a train of deductions, as in the steps of an arithmetical process, an error may have insinuated itself imperceptibly at a very early stage, rendering all the subsequent steps a wandering farther and farther from the unadulterated truth. Human mathematics, so to speak, like the length of life, are subject to the doctrine ...
— Thoughts on Man - His Nature, Productions and Discoveries, Interspersed with - Some Particulars Respecting the Author • William Godwin
... The young lady explained that her next visit to Chorlton would be by way of an expedition from Pensham. Adrian and Irene would drive her over. It was not morally much farther from Pensham than from the Towers, although some arithmetical appearances were against it. And she particularly wanted Adrian to see old Mrs. Picture. And then, like a sudden sad cadence in music, came the thought:—"But he cannot see ...
— When Ghost Meets Ghost • William Frend De Morgan
... thought of which," according to SCHWEGLER, "was that of proportion and harmony, and this idea is to them as well the principle of practical life, as the supreme law of the universe." It was a kind of "arithmetical mysticism, and the leading thought was that law, order, and agreement obtain in the affairs of Nature, and that these relations are capable of being expressed in number and in measure." The whole tendency of the Pythagoreans, in a practical aspect, was ascetic, and aimed only at a rigid castigation ...
— The Nuttall Encyclopaedia - Being a Concise and Comprehensive Dictionary of General Knowledge • Edited by Rev. James Wood
... in the simple arithmetical fact, that if you add an odd number to an even number, the result will be odd; if you add an odd number to an odd number, the result will be even. You have only to take care, therefore, that the number you yourself add, whether large ...
— Healthful Sports for Boys • Alfred Rochefort
... never smoke? Excuse me. When he will smoke depends upon the precocity of his individual generation; and that increases in a direct ratio with time itself, in this country. Thus, to state the matter in an approximate inverse arithmetical progression, and dating the birth of "young America" about the year 1825,—previously to which reigned the dark ages of oldfogydom, so called,—we find as follows: —From 1825 to 1835, young gentlemen learned to smoke when from 25 to 20 years of age; from 1835 to 1845, young gents, ditto, ...
— Atlantic Monthly Volume 6, No. 34, August, 1860 • Various
... steam were loaded with the heavy tasks. Just now the heavy burdens are borne by steam; electricity is just coming into use to help bear them. Steam and electricity at last mean coal, and the amount of coal in the globe is an arithmetical fact. When the coal is used up will slavery once more begin? One thing only can be affirmed with confidence; that is, that as no philosophical dogmas caused slavery to be abolished, so no philosophical dogmas can prevent its ...
— Folkways - A Study of the Sociological Importance of Usages, Manners, Customs, Mores, and Morals • William Graham Sumner
... from Waverley had proved so enthralling that there was a general demand for "another," and Sir Toady Lion, being of an arithmetical turn of mind, proclaimed that there was plenty of material, in so much as he had counted no fewer than twenty-four "all the same" upon the shelf ...
— Red Cap Tales - Stolen from the Treasure Chest of the Wizard of the North • Samuel Rutherford Crockett
... all day long. Tip, tip, tip, till the brain is weary, not with the cost of it, but with the arithmetical strain. ...
— Behind the Beyond - and Other Contributions to Human Knowledge • Stephen Leacock
... with all the evidence of arithmetical demonstration, that the method now proposed is highly expedient, nor can any objection, in my opinion, be made to the resolution offered to ...
— The Works of Samuel Johnson, Vol. 10. - Parlimentary Debates I. • Samuel Johnson
... 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
... is more in it than that. It happens so. Life is an intermittent fever. Now all narrators, whether of history or fiction, are compelled to slur these barren portions of time or else line trunks. The practice, however, tends to give the unguarded reader a wrong arithmetical impression, which there is a particular reason for avoiding in these pages as far as possible. I invite therefore your intelligence to my aid, and ask you to try and realize that, although there were no more vivid adventures for a long while, one day's ...
— The Cloister and the Hearth • Charles Reade
... 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
... 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 ...
— Guy Mannering • Sir Walter Scott
... the matter so far as to doubt whether the answer 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 "goodwill toward men" to human and determinable ...
— Diary of a Pedestrian in Cashmere and Thibet • by William Henry Knight
... in his habits; but he can do a stroke that way, too (one stroke, unique in his life, I do believe), if a wild boar, with frothy tusks, is upon him. Tell it not in Gath,—except for scientific purposes! And be judicial, arithmetical, in passing sentence on it; not shrieky, mobbish, and flying off ...
— History of Friedrich II. of Prussia, Vol. XVI. (of XXI.) - Frederick The Great—The Ten Years of Peace.—1746-1756. • Thomas Carlyle
... 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 ...
— Sixteen Months in Four German Prisons - Wesel, Sennelager, Klingelputz, Ruhleben • Henry Charles Mahoney
... contented with the 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, ...
— Renaissance in Italy Vol. 3 - The Fine Arts • John Addington Symonds
... of 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 ...
— The Jesus of History • T. R. Glover
... into the woman of business, and one who was evidently quite accustomed both to arrange and command, Miss Balquidder put Hilary through a sort of extempore arithmetical catechism, from which she ...
— Mistress and Maid • Dinah Craik (aka: Miss Mulock)
... 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 certain. What, of ...
— The Works of Edgar Allan Poe - Volume 1 (of 5) of the Raven Edition • Edgar Allan Poe
... determining the electoral quotient may appear at first sight rather empirical, but the rule is merely the arithmetical expression, in a form convenient for returning officers, of the following train of reasoning. The three lists with 8000, 7500, and 4500 supporters are competing for seats. The first seat has to be allotted; to which list ...
— Proportional Representation - A Study in Methods of Election • John H. Humphreys
... 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
... would be so carried away by my reading that I never opened my arithmetic. At other times I would drift into an arithmetical mood and sit ...
— The Rise of David Levinsky • Abraham Cahan
... arithmetical knowledge will enable one to figure up what the American Fluming Company made by their summer's work. This result was by no means a singular one. Nearly every person on the river received the same stepmother's treatment from Dame Nature ...
— The Shirley Letters from California Mines in 1851-52 • Louise Amelia Knapp Smith Clappe
... 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 out of each ...
— Barnaby Rudge • Charles Dickens
... horticulturist of Paris, has likened the law of similarity to the centripetal force, and the law of variation to the centrifugal force; and in truth their operations seem analogous, and possibly they may be the same in kind, though certainly unlike in this, that they are not reducible to arithmetical calculation and cannot be subjected to definite measurement. His thought is at least a highly suggestive one and may be pursued ...
— The Principles of Breeding • S. L. Goodale
... work again with various arithmetical questions, which were answered instantly, and then he made a sudden leap and asked: ...
— The Wonder • J. D. Beresford
... 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 ...
— Memoirs of Extraordinary Popular Delusions and the Madness of Crowds • Charles Mackay
... sources of food. Vice and misery cut down the number of men when they grow beyond the food. The increase of men is rapid and easy; the increase of food is in comparison, slow, and toilsome. They are to each other as a geometrical increase to an arithmetical; in North America, the population double ...
— Human Traits and their Social Significance • Irwin Edman
... approach to it. As it was, it was seldom resorted to, 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 was surrounded, ...
— A Voyage to the Moon • George Tucker
... every thing anew before his eyes. Sometimes he repeated verses of poetry, which he did not know to be in his memory, until he found them there, just at the time of need. Sometimes he attempted to solve arithmetical questions, which had perplexed him ...
— True Stories from History and Biography • Nathaniel Hawthorne
... little—solely because of his slow arithmetical faculties. Adhesive plaster was cheap—he would like to have charged proportionately for the exact amount he had used; but the division was beyond him! And ...
— Under the Redwoods • Bret Harte
... (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 ...
— Logic - Deductive and Inductive • Carveth Read
... which of these leads, which is inert, and of those which are not inert in what order they arrange their action. The principium movendi, the central force which organizes and assigns its place in the system to all the other forces, these are quite undetermined by any mere arithmetical recitation of the agencies concerned. Often these primary principles can be deduced only tentatively, or by a regress to the steps, historically speaking, through which they have arisen. Sometimes, for instance, the population, as to ...
— The Posthumous Works of Thomas De Quincey, Vol. II (2 vols) • Thomas De Quincey
... 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 gourds, cassia, cardamoms, aloes, ginger, or tea, than into kindly responses and friendly recollections. The reason why I cannot write letters at home is that I am never alone. Plato's—(I write to W.W. now)—Plato's double-animal parted ...
— The Best Letters of Charles Lamb • Charles Lamb
... of January, it was seventeen; but by the census of March, there were eighteen. I have made a calculation that shows, if we go on at this rate, or by arithmetical progression, it will be a hundred in about ten years, which will be a very respectable population for a country place. I beg pardon, sir, the people six or eight weeks afterwards, altered the name to Dodgeborough; ...
— Homeward Bound - or, The Chase • James Fenimore Cooper
... Arithmetic, e.g., seemed to the child to be made up of a number of kinds of arithmetic, each process having its own rules and methods of procedure; but it never entered into his mind, and but seldom into that of his teacher, that the various arithmetical processes are at bottom but diverse forms of the one fundamental process of adding to or subtracting from a group. Proportion was one kind of arithmetic, simple interest another, but that these processes ...
— The Children: Some Educational Problems • Alexander Darroch
... 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 to sign them ...
— In the Mayor's Parlour • J. S. (Joseph Smith) Fletcher
... reward, the family name of so great a philosopher. Sir Isaac, after all, is a vague appellation; any dog has a right to be Sir Isaac—Newton may be left conjectural. Let us see if we can add to our arithmetical information. Look at me, Sir Isaac." Sir Isaac looked and grinned affectionately; and under that title learned a new combination with a facility that might have relieved Sophy's mind of all superstitious belief that the philosopher was resuscitated ...
— What Will He Do With It, Complete • Edward Bulwer-Lytton
... inviter the bookseller, and the two interlopers, remained fixed as fate to the festive board, until the chairman, and scarce any one of the company, could clearly define, divide, and arrange the exact arithmetical proportions of the dinner bill. After a short cessation of hostilities, during which our commercial friends despatched their London letters, and Bob and the English Spy, to escape the suspicion of not ...
— The English Spy • Bernard Blackmantle
... 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, ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan
... cook over the airey railings, the cook hands him back six and nine—or whatever it is—and takes his bill and receipt. I eat my dinners now, with the blessed conviction that they won't all disagree with me in an arithmetical point of view at the end of the year. What are you stopping and scratching your head for ...
— Hide and Seek • Wilkie Collins
... to pause, in order to estimate a sum like that abovementioned. Many, indeed most persons who are familiar with figures, might compute these numbers while reading, and without the slightest pause; but it certainly requires some practice. And the most important use of arithmetical studies (except as a discipline to the mind) is to enable us to reckon without slates and pencils. He has but a miserable knowledge of arithmetic, who is no arithmetician without a pen or pencil in his hand. These are but the ladders upon which he should ...
— The Young Man's Guide • William A. Alcott
... Robert Gray was still struggling with the difficulties of simple division. But George's secret was his perseverance. He worked out the sums in his bye-hours, improving every minute of his spare time by the engine-fire, and studying there the arithmetical problems set for him upon his slate by the master. In the evenings he took to Robertson the sums which he had "worked," and new ones were "set" for him to study out the following day. Thus his progress was rapid, and, with a willing heart and mind, he soon ...
— Lives of the Engineers - The Locomotive. George and Robert Stephenson • Samuel Smiles
... But every day after dinner, for an hour, we were all together, and then the Favourite and the rest of the Royal Hareem competed who should most beguile the leisure of the Serene Haroun reposing from the cares of State—which were generally, as in most affairs of State, of an arithmetical character, the Commander of the Faithful being a fearful boggler ...
— The Signal-Man #33 • Charles Dickens
... originally employed in superintending the coal works in that vicinity, under the late Earl of Dundonald. He subsequently became agent for the collieries of John Francis Erskine, afterwards Earl of Mar. A book of arithmetical tables and calculations from his pen, entitled, "The Corn-dealer's Assistant," was long recognised as an almost indispensable ...
— The Modern Scottish Minstrel, Volumes I-VI. - The Songs of Scotland of the Past Half Century • Various
... 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 connection may be made between them and arithmetic. We know that in ...
— The Elements of General Method - Based on the Principles of Herbart • Charles A. McMurry
... was apparent; nor could he make sense out of any combination of letters. He knew that there were certain codes whereby the two progressions, arithmetical and geometric were employed in their composition, but this seemingly answered to none of them. He went over the list again, comparing them with the marked letters as found in the note. Yes, they were identical. He had ...
— The Loyalist - A Story of the American Revolution • James Francis Barrett
... "Well," said the arithmetical George, "it is the cheapest place I ever knew. Why, their Seniors get along for three hundred dollars a year, and squeeze more out of life than I do out of twenty thousand. The little ones won't cost at that rate. A hundred and fifty dollars for twenty-nine children; how ...
— The Brick Moon, et. al. • Edward Everett Hale
... happen, if Kant is right, that to-morrow our nature would so change as to make two and two become five. This possibility seems never to have occurred to him, yet it is one which utterly destroys the certainty and universality which he is anxious to vindicate for arithmetical propositions. It is true that this possibility, formally, is inconsistent with the Kantian view that time itself is a form imposed by the subject upon phenomena, so that our real Self is not in time and has no to-morrow. But he will still have ...
— The Problems of Philosophy • Bertrand Russell
... use of oxen in place of horses for all farm-labor; they cost less, keep for less, and sell for more; and he enters into arithmetical calculations to establish his propositions. He instances Mr. Burke, who ploughs with four oxen at Beaconsfield. How drolly it sounds to hear the author of "Letters on a Regicide Peace" cited as an authority in practical farming! ...
— The Atlantic Monthly, Vol. 13, No. 79, May, 1864 • Various
... busy. Morvyth and Valentine were opening the tins with wood-carving implements; Ardiune was performing an abstruse arithmetical calculation as to how to cut up three cakes into nineteen exactly even portions, while Katherine waited with the penknife ready. Even the hitherto irreproachable Maudie Heywood and Cynthia Greene were occupied with scissors, making plates out of sheets of exercise ...
— The Madcap of the School • Angela Brazil
... presume to call ourselves—ever devised anything so well adapted as this to the needs of average mortals struggling with the ordinary troubles of life? We know of nothing. Philosophical treatises, and arithmetical computations respecting the number of people who inhabited Palestine, may have their use, but they cannot fill the aching void in the heart of a lone widow, or teach an anxious father how to manage a troublesome boy. There was an old lady near us at this meeting,—a ...
— Famous Americans of Recent Times • James Parton
... Richmond, Barnum tried to pay Turner for that practical joke about the Rev. Mr. Avery. A score of the company were telling stories and singing songs in the sitting room of the hotel. Presently somebody began propounding some amusing arithmetical problems. Then Turner proposed one, which was readily solved. Barnum's turn came next, and he offered the following, for ...
— A Unique Story of a Marvellous Career. Life of Hon. Phineas T. • Joel Benton
... Mr 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 ...
— Little Dorrit • Charles Dickens
... friend of Leonardo, 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 ...
— Aesthetic as Science of Expression and General Linguistic • Benedetto Croce
... 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 explosions.—Nevertheless ...
— The Origins of Contemporary France, Volume 1 (of 6) - The Ancient Regime • Hippolyte A. Taine
... a mean that is observed according to arithmetical or geometrical proportion is a real mean. Now such is the mean of justice, as stated in Ethic. v, 3. Therefore the mean of moral virtue is not the ...
— Summa Theologica, Part I-II (Pars Prima Secundae) - From the Complete American Edition • Saint Thomas Aquinas
... just as I tell you, I assure you, and you must not be angry with me, for you have sought this disclosure. I do not willingly enter into arithmetical explanations with an artist like you, who fears to enter my study lest she should imbibe disagreeable or anti-poetic impressions and sensations. But in that same banker's study, where you very willingly ...
— The Count of Monte Cristo • Alexandre Dumas, Pere
... incredible as it may appear, I went through the whole at a sitting, without a single yawn; and, for a man who never before had looked into an account, I understood the nature of debtor and creditor wonderfully well: but, with my utmost desire to evince my arithmetical sagacity, I could not detect the slightest error in the accounts; and it was evident that Mr. M'Leod was not Captain Crawley; yet, rather than believe that he could be both an agent and an honest man, I concluded, that if he did not cheat me out of ...
— Tales and Novels, Vol. IV • Maria Edgeworth
... slips along its groove, and by the light of a little lamp I can examine my No. 11, to whom I shall be able to give a less arithmetical designation. ...
— The Adventures of a Special Correspondent • Jules Verne
... They cancel each other like the factors in an arithmetical problem. "He never did wrong" is correct in statement and clear in meaning. "He never did nothing wrong" does not add force, it reverses the meaning. The negatives have cancelled each other and you are saying "He did wrong." "He never did nothing wrong to nobody" leaves us with an odd negative ...
— Word Study and English Grammar - A Primer of Information about Words, Their Relations and Their Uses • Frederick W. Hamilton
... his successor," whispered Albert. "I suppose, Dick, we might call this an arithmetical or ...
— The Last of the Chiefs - A Story of the Great Sioux War • Joseph Altsheler
... say, when I was interrupted, that one of the many ways of classifying minds is under the heads of arithmetical and algebraical intellects. All economical and practical wisdom is an extension or variation of the following arithmetical formula: 224. Every philosophical proposition has the more general character of the expression abc. We are mere operatives, empirics, and egotists, until ...
— The Autocrat of the Breakfast Table • Oliver Wendell Holmes
... seemed to be 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 Squire with ...
— Jerome, A Poor Man - A Novel • Mary E. Wilkins Freeman
... If he does this, and all the more if he has the rare genius to do all these in one, his books, we may almost say, ought to go first through the magazines. If he wants them to do so, then it will be a godsend to himself as well as to the editors if he will lay his plans, as far as they have any arithmetical character (and they can have much), according to the magazines' mechanical exigencies. He should know just how much of any magazine page his own typewritten pages will occupy; how many of its own pages that magazine commonly allows ...
— The Building of a Book • Various
... national thrift and social benevolence. This cold moralist, who despised the emotional aspects of human nature and found no place for the affections in his scheme of the virtues, lapsed into passion when he attacked the National Debt, and developed an arithmetical enthusiasm when he explained his plan for providing through voluntary insurance for the old age of the worthy poor. He was not quite the first of the philosophers to dream of the abolition of war, and to ...
— Shelley, Godwin and Their Circle • H. N. Brailsford
... of rationality, the miser fell back, sputtering, into his previous gibberish, but it took now an arithmetical turn. Eyes closed, ...
— The Confidence-Man • Herman Melville
... that it was WILLIE REDMOND'S ambition to be the Father of the House; indeed, that by some arithmetical process peculiar to himself be claimed, although only elected in 1883, to be already entitled to that ...
— Punch, or the London Charivari, Vol. 152, June 20, 1917 • Various
... wilder and wilder at each hole in arithmetical progression. If he had been a plow, he could hardly have turned up more soil. The imagination recoiled from the thought of what he would be doing in another half hour if he ...
— Love Among the Chickens - A Story of the Haps and Mishaps on an English Chicken Farm • P. G. Wodehouse
... the two extremes of the envoy. Malthus again, in his population-book, contends for a mathematic difference between animal and vegetable life, in respect to the law of increase, as though the first increased by geometrical ratios, the last by arithmetical! No proposition more worthy of laughter; since both, when permitted to expand, increase by geometrical ratios, and the latter by much higher ratios. Whereas, Malthus persuaded himself of his crotchet simply by refusing the requisite condition in the vegetable ...
— Narrative And Miscellaneous Papers • Thomas De Quincey
... out, the street and house number plan being arranged with arithmetical exactness. Main Street is the center of this system and the house numbers begin from it or the point nearest it on the streets that run east or west. For the streets running north and south the house numbers begin on Third Street or the point nearest ...
— The True Story of Our National Calamity of Flood, Fire and Tornado • Logan Marshall
... 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 meaning to self-sacrifice, ...
— Creative Unity • Rabindranath Tagore
... poorest land under cultivation at the time; and therefore being in its amount independent of direct human control. The Malthusian law of population showed that population tended to increase in a geometrical ratio, subsistence for the population, on the other hand, only in an arithmetical ratio, and that poverty was, therefore, the natural and inevitable result in old countries of a pressure of population on subsistence. The sanction of science was thus given alike to the desires of the lovers of freedom and to the ...
— An Introduction to the Industrial and Social History of England • Edward Potts Cheyney
... respectively commenced, to ascertain the form and the initial day of the year made use of, and to establish their correspondence with the years of the Christian era. These elements will enable us to convert, by a simple arithmetical operation, any historical date, of which the chronological characters are given according to any era whatever, into the corresponding ...
— Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 3 - "Chitral" to "Cincinnati" • Various
... loved to dwell on all I had seen that was rich and rare, or have been placing, perhaps in order, the various additions with which I had supplied my stock of information—and now, like a stupid boy blundering over an arithmetical question half obliterated on his slate, I go stumbling on upon the audit of pounds, shillings, and pence. Why, the increase of charge I complain of must continue so long as the value of the thing represented by cash continues ...
— The Journal of Sir Walter Scott - From the Original Manuscript at Abbotsford • Walter Scott
... way, Mac, I am a classical scholar, not an arithmetical one. Is three fifths more than ...
— Major Barbara • George Bernard Shaw
... his walk, and he had been imagining ways of cajoling and tempting the weaver to part with the immediate possession of his money for the sake of receiving interest. Dunstan felt as if there must be a little frightening added to the cajolery, for his own arithmetical convictions were not clear enough to afford him any forcible demonstration as to the advantages of interest; and as for security, he regarded it vaguely as a means of cheating a man by making him believe that he would be paid. Altogether, the operation on the miser's ...
— English: Composition and Literature • W. F. (William Franklin) Webster
... 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, ...
— Political Thought in England from Locke to Bentham • Harold J. Laski
... represented not only arithmetical qualities, but also all grandeur, all proportion. By it we necessarily arrive at the discovery of the Principle or First Cause of things, called at the present day ...
— Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry • Albert Pike
... as Journeys can be of no use in the arithmetic class, and of course their usefulness in that direction would not justify their existence. However, there are selections in Journeys that have a decided arithmetical flavor, such as, for instance, Three Sundays in a Week (Volume VI, page 453) and The Gold Bug (Volume IX, page 232). Even among the nursery rhymes is one that is purely arithmetical (Volume I, page 41). We may, however, disregard the arithmetic in Journeys, but we ...
— Journeys Through Bookland, Vol. 10 - The Guide • Charles Herbert Sylvester
... subject of loans unpaid, of costs out of pocket, or costs at all. After we left court he employed 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 ...
— The Uninhabited House • Mrs. J. H. Riddell
... 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
... mortally hated and abhorred,—a man who could not, by any sacrifices offered to the avarice, avert the cruelty of his implacable enemy. As long as truth remains, as long as figures stand, as long as two and two are four, as long as there is mathematical and arithmetical demonstration, so long shall his cruelty, rage, ravage, and oppression remain ...
— The Works of the Right Honourable Edmund Burke, Vol. XI. (of 12) • Edmund Burke
... number of fictions, amongst the rest the tale of Cupid and Psyche—closely corresponding to that of the Greeks?[7] Who that has been a child does not recollect the untiring delight with which he listened to those ingenious arithmetical progressions, reduced to poetry, called "The House that Jack built," and the perils of "The Old Woman with the Pig?" Few even of those in riper years would suspect their Eastern origin. In the Sepher Haggadah there is an ancient parabolical hymn, in the Chaldee language, ...
— Traditions of Lancashire, Volume 1 (of 2) • John Roby
... find the proportion of vegetable matter in each of the following: loams from various sources, sand, clay, gravel. The last three will show scarcely any change. This experiment will give rise to some good arithmetical problems ...
— Ontario Teachers' Manuals: Nature Study • Ontario Ministry of Education
... pleasure which the recital gave him he could never recall either the incidents or the language. It may almost be taken for granted that so soon as Clare could write he began to rhyme. The Editor of this volume has before him the book in which the boy set down his arithmetical and geometrical exercises while a pupil of Mr. Merrishaw, and in this book are scribbled in pencil a few undecipherable lines commencing, "Good morning to ye, ballad-singing thrush." He was thirteen years ...
— Life and Remains of John Clare - "The Northamptonshire Peasant Poet" • J. L. Cherry
... 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 we may, it is impossible, without having recourse to intuition, to arrive ...
— The Critique of Pure Reason • Immanuel Kant
... that of a direct arithmetical progression in the relation of wage and work such as would require every difference in quantity of food, etc., consumed by labourers to be reflected in an exactly correspondent difference of output of productive energy—an assumption which needs no refutation, for no one would maintain that ...
— The Evolution of Modern Capitalism - A Study of Machine Production • John Atkinson Hobson
... to-day?" then glancing at the sky, which at the time happened to be overcast by dull murky clouds, he said: "It must be the weather." I chanced one day to be present when Uncle Ephraim was busily occupied in making some arithmetical calculations regarding his farm-products. The result not proving satisfactory he handed his slate to a friend for inspection, and it was soon discovered that he had made a very considerable error in his calculation. ...
— The Path of Duty, and Other Stories • H. S. Caswell
... 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 not feel their ignorance of the numbers written in their own characters; ...
— The Philippine Islands, 1493-1898 - Volume 40 of 55 • Francisco Colin
... Shakespeare's 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, ...
— The Book-Collector • William Carew Hazlitt
... obsolete popguns, elastic airbladders, games of hazard, catapults. They comprised astronomical kaleidoscopes exhibiting the twelve constellations of the zodiac from Aries to Pisces, miniature mechanical orreries, arithmetical gelatine lozenges, geometrical to correspond with zoological biscuits, globemap playing ...
— Ulysses • James Joyce
... the teacher's desk. A model of a piggery stood on a shelf, done in cardboard. Instead of the usual collection of text-books in the desk, there were hectograph copies of exercises, reading lessons, arithmetical tables and essays on various matters relating to agriculture, all of which were accounted for by two or three hand-made hectographs—a very fair sort of printing plant—lying on a table. The members of the school board were there, looking on ...
— The Brown Mouse • Herbert Quick
... 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 ...
— James Nasmyth's Autobiography • James Nasmyth
... The power of arithmetical numbers has been tried to a vast extent, and variously applied to the improvement both of business and science. In particular, so many calculations have been made, with respect to the value and use of money, that ...
— The Works of Samuel Johnson in Nine Volumes - Volume V: Miscellaneous Pieces • Samuel Johnson
... steadily pursuing the inductive process, and, from small beginnings, working on from clue to clue until he bags his man. Sergeant Witchem, shorter and thicker-set, and marked with the small-pox, has something of a reserved and thoughtful air, as if he were engaged in deep arithmetical calculations. He is renowned for his acquaintance with the swell mob. Sergeant Mith, a smooth-faced man with a fresh bright complexion, and a strange air of simplicity, is a dab at housebreakers. Sergeant Fendall, a light- haired, well-spoken, polite person, is a prodigious ...
— Reprinted Pieces • Charles Dickens
... four hundred and thirty-two pounds to the square inch at the bottom, water becomes steam, if at all, only by great heat. Every engineer knows that the pressure exerted by steam increases by great geometrical ratios as the heat increases by small arithmetical ratios. Steam made by two hundred and twelve degrees exerts a pressure, as we have said, of ...
— Among the Forces • Henry White Warren
... tear shed over Little Red Riding-Hood for all the benefit to be derived from a hundred Histories of Jemmy Goodchild.... In a word, I think the selfish tendencies will be soon enough acquired in this arithmetical age; and that, to make the higher class of character, our wild fictions—like our own simple music—will have more effect in awakening the fancy and elevating the disposition, than the colder and more elaborate compositions of ...
— Notes and Queries, Number 65, January 25, 1851 • Various
... to work out the problem whether a boy's expenses from the time he begins feeding-bottles to the time he leaves the University increases by arithmetical ...
— Septimus • William J. Locke
... arithmetical progression, the probability, nay, the certainty of these results, if not in some way averted, was proved to King Piko; and he was furthermore admonished, that war—war to the haft with King Hello—was the only cure ...
— Mardi: and A Voyage Thither, Vol. II (of 2) • Herman Melville
... subsistence will increase only in an arithmetical ratio. "As far as nature has to do with the question," says Mr Sadler, "men might, for instance, plant twice the number of peas, and breed from a double number of the same animals, with equal prospect of their multiplication." Now, if Mr Sadler thinks that, as far as nature ...
— The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 2 (of 4) - Contributions To The Edinburgh Review • Thomas Babington Macaulay
... an unfortunate case, and may well say to our compatriots that not to possess necessary knowledge is a disgrace, though to possess such knowledge is nothing very grand. 'Certainly.' The discussion of arithmetical problems is a much better amusement for old men than their favourite game of draughts. 'True.' Mathematics, then, will be one of the subjects in which youth should be trained. They may be regarded as an amusement, as well as a useful and ...
— Laws • Plato
... 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 dry land; and as the number of square feet are placed ...
— Lectures and Essays • T.H. Huxley
... appropriation of one of the two or more words, which had before been used promiscuously. When this distinction has been so naturalized and of such general currency that the language does as it were think for us—(like the sliding rule which is the mechanic's safe substitute for arithmetical knowledge)—we then say, that it is evident to common sense. Common sense, therefore, differs in different ages. What was born and christened in the Schools passes by degrees into the world at large, ...
— Biographia Literaria • Samuel Taylor Coleridge
... technical value for the industries; moreover, it is a pretty good index of the grades comprehended in the Academic Department. In the lowest class in the day-school—there is one lower in the night-school—the arithmetical tables are mastered, and fractions introduced and developed with the use of liquid, dry, surface, and time measures; whereas in the Senior class algebra is studied through quadratics and plane geometry through the "area of polygons." That ...
— Tuskegee & Its People: Their Ideals and Achievements • Various
... 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 ...
— The Every-day Life of Abraham Lincoln • Francis Fisher Browne
... in Artesian wells, it has been shown that the heat increases on an average about 1 degree for every 54.5 feet. If this increase can be reduced p 174 to arithmetical relations, it will follow, as I have already observed,* that a stratum of granite would be in a state of fusion at a depth of nearly twenty-one geographical miles, or between four and five times the elevation of the highest summit ...
— COSMOS: A Sketch of the Physical Description of the Universe, Vol. 1 • Alexander von Humboldt
... unexaggerated. What a career was run by this genius! Discovering the science of geometry at twelve years of age,—next inventing the arithmetical machine,—discovering atmospheric pressure, while every philosopher was prating about "Nature's horror of a vacuum,"—inventing the wheelbarrow, to divert his mind from the pains of the toothache, and succeeding,—inventing the theory of probabilities,—establishing the first omnibuses ...
— The Atlantic Monthly, Volume 2, Issue 12, October, 1858 • Various
... sat together on the hearthrug, and for some time there was no sound but the creasing of bills and the jingling of guineas, broken occasionally by the exulting exclamations of Rowley. The arithmetical operation on which we were embarked took long, and it might have been tedious to others; not to me nor to ...
— St Ives • Robert Louis Stevenson
... every other word not misapplied, "conveys its own idea;" and that, not qualifiedly, or "very nearly," but exactly. That this idea, however, was originally that of arithmetical number, or is nearly so now, is about as fanciful a notion, as the happy suggestion added above, that rhythm in lieu of arithm or number, is the fittest of words, because "rhythm in prosody is time ...
— The Grammar of English Grammars • Goold Brown
... see that if you know the value of any two of the constants you can find the value of the unknown constant by a simple arithmetical process. This relation between these three constants is known as Ohm's Law and as they are very important ...
— The Radio Amateur's Hand Book • A. Frederick Collins
... partner brought a considerable amount of capital into the firm, at a time when capital was greatly needed in that growing concern. His duties were to take charge of the ledger and account department, though he never took much interest in his work, but preferred to call in the help of a clever arithmetical clerk. ...
— A Publisher and His Friends • Samuel Smiles
... 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 the afternoon's dinner, the pudding of praise was served out in slices to favored ...
— Atlantic Monthly, Volume 2, Issue 10, August, 1858 • Various
... the first edition of his essay Malthus contended that population tends to increase in geometric ratio, while food at best will increase only in arithmetical ratio; and that this means that constant discrepancies between population and food supply would appear, with the result that population would have to be cut down to food supply. Later Malthus saw how crude this statement of his theory was ...
— Sociology and Modern Social Problems • Charles A. Ellwood
... that an unintelligible dialect is a guarantee for ingenuousness, and that slouching shoulders indicate an upright disposition. It is quite true that a thresher is likely to be innocent of any adroit arithmetical cheating, but he is not the less likely to carry home his master's corn in his shoes and pocket; a reaper is not given to writing begging letters, but he is quite capable of cajoling the dairy-maid into filling his small-beer bottle with ale. The selfish instincts ...
— George Eliot; A Critical Study of Her Life, Writings & Philosophy • George Willis Cooke
... 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 ...
— The Works of Robert Louis Stevenson - Swanston Edition Vol. 18 (of 25) • Robert Louis Stevenson
... is not 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 tremendous industrial machinery which also supports the machinery ...
— Before the Dawn - A Story of the Fall of Richmond • Joseph Alexander Altsheler
... of the publication of "The Wealth of Nations," that the foundation of the new school was laid by Mr. Malthus, who taught that all the distress existing in the world was the inevitable consequence of a great law of nature, which provided that food should increase only in arithmetical progression, while population might increase in geometrical progression. Next came Mr. Ricardo, who furnished a law of the occupation of the earth, showing, and conclusively, as he supposed, that the work of cultivation was always commenced on the ...
— The trade, domestic and foreign • Henry Charles Carey
... 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 ...
— The Hunting of the Snark - an Agony, in Eight Fits • Lewis Carroll
... the whole night, and his fury, growing in a sort of vast, arithmetical progression, reached its highest limits in the morning. He dressed in haste, and as though carrying his cup full of wrath, and fearing to spill any over, fearing to lose with his wrath the energy necessary for the interview with his wife, he went into her room directly ...
— Anna Karenina • Leo Tolstoy
... leg was drawn up, and the other had slipped towards the ground, having apparently carried with it a manuscript volume of verse, which lay with its leaves crushed. In a corner sat Sandro, playing a game at mora by himself, and watching the slow reply of his left fingers to the arithmetical demands of his ...
— Romola • George Eliot
... may make very dry reading, but the reader who has followed them closely will see how vital they are to successful work. It should not be thought, however, that every exposure on bromide paper must involve an arithmetical calculation. On the contrary, once the proper distance from the light for the normal negative has been ascertained, it will be found that nine negatives out of ten will require no change in the distance from ...
— Bromide Printing and Enlarging • John A. Tennant
... 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 ...
— Historical and Political Essays • William Edward Hartpole Lecky
... 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 ...
— Waverley • Sir Walter Scott
... matrimonial establishment upon ten shillings a week, the average amount of his income, not only for the time, but in all probability for years to come, if not for his whole life. Elizabeth, on her part, did not share these arithmetical apprehensions, in consequence of which there were quarrels, bickerings, and misunderstandings without end. To please his Elizabeth, John Clare was made to go frequently to the house of father Newton, the wheelwright, a curious old man, who was constantly reading in the ...
— The Life of John Clare • Frederick Martin
... this process of reasoning was enormously facilitated by the invention of logarithms by Napier. He was born at Merchistoun, near Edinburgh, in 1550, and died in 1617. By this system the tedious arithmetical operations necessary in astronomical calculations, especially those dealing with the trigonometrical functions of angles, were so much simplified that Laplace declared that by this invention the life-work of an ...
— History of Astronomy • George Forbes
... inventions have been made in the last century. There are several reasons. Since every discovery or advance in knowledge increases our chance of obtaining more, it becomes cumulative, and our progress is in geometric instead of arithmetical ratio. Public interest and general appreciation of the value of time have also effectively assisted progress. At the beginning of each year the President, the Governors of the States, and the Mayors of cities publish a prospectus of the great improvements ...
— A Journey in Other Worlds - A Romance of the Future • John Jacob Astor
... Christian thinkers. He was the inventor of an astronomical instrument, a description of which was translated into Latin at the express command of Pope Clement VI., and carefully studied by Kepler. Besides, Levi ben Gerson was the author of an arithmetical work. In those days, in fact up to the seventeenth century, there was but a faint dividing line between astronomy and mathematics, as between medicine and natural history. John of Seville was a notable ...
— Jewish Literature and Other Essays • Gustav Karpeles
... visit, not very far from Kit's Coty House, is another group of stones, called the "countless stones." As we pass some boys are trying to solve the arithmetical problem, which cannot be readily accomplished, as the stones lie intermingled in a very strange and irregular manner, and are overgrown with brushwood. The belief that these stones cannot be counted is one constantly found connected with similar remains, e.g. Stonehenge, Avebury, etc. ...
— A Week's Tramp in Dickens-Land • William R. Hughes
... 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 ...
— Religious Reality • A.E.J. Rawlinson
... cyphering should come first; there is nothing so obviously useful, nothing which needs so much practice or gives so much opportunity for error as reckoning. If the little girl does not get the cherries for her lunch without an arithmetical exercise, she will soon learn ...
— Emile • Jean-Jacques Rousseau
... India, has cost us 20,000,000 L. within a few years, that, in less than thirty-five years, it may cost us something more; and, it is not by any means impossible, that, before that period, we may either lose India, or give it away; on either of which suppositions, the arithmetical balance of profit and loss will be greatly altered, to ...
— An Inquiry into the Permanent Causes of the Decline and Fall of Powerful and Wealthy Nations. • William Playfair
... fiscal and arithmetical talents of my Chancellor of the Exchequer have, by the most rigid economy, succeeded in reducing the revenue very considerably below the ...
— Punch, or the London Charivari, Volume 1, Complete • Various
... few days, 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, the innermost heart ...
— A Bunch of Cherries - A Story of Cherry Court School • L. T. Meade
... Philosopher says (Ethic. ii, 6; v, 4) that the mean of justice is to be taken according to "arithmetical" proportion, so that it ...
— Summa Theologica, Part II-II (Secunda Secundae) • Thomas Aquinas |
