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Arithmetical   Listen
adjective
Arithmetical  adj.  Of or pertaining to arithmetic; according to the rules or method of arithmetic.
Arithmetical complement of a logarithm. See Logarithm.
Arithmetical mean. See Mean.
Arithmetical progression. See Progression.
Arithmetical proportion. See Proportion.






Collaborative International Dictionary of English 0.48








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"Arithmetical" Quotes from Famous Books



... disproportionate a number of 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 Journey in Other Worlds - A Romance of the Future • John Jacob Astor

... Price is a lesser figure; and much of 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 ...
— Political Thought in England from Locke to Bentham • Harold J. Laski

... of its constituent individuals—or, at least, they can only be so regarded by conceding that the thoughts and actions of the constituent individuals, when thus summated, yield a different product from that which would be obtained by a merely arithmetical computation of the constituent parts: the composite product differs from its component elements, as H2O differs from 2H O. The general truth of this remark will, I believe, be appreciated by all historians. Seeing that ideas are often, as it is said, 'in the air' before ...
— Mind and Motion and Monism • George John Romanes

... 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 ...
— The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 4 (of 4) - Lord Macaulay's Speeches • Thomas Babington Macaulay

... 275 Most arithmetical: and thence you infer Perhaps the assembling of a parliament. Now, if a man should call his dearest enemies T0 sit in licensed judgement on his life, His Majesty might wisely take that course. 280 [ASIDE TO COTTINGTON.] It is enough ...
— The Complete Poetical Works of Percy Bysshe Shelley Volume I • Percy Bysshe Shelley

... Sheep in 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 expense of ...
— A Source Book Of Australian History • Compiled by Gwendolen H. Swinburne

... continuity society may learn, as the individual organism does, by the method of trial and error. Costly blunders need not be repeated, and the waste involved {144} in untried experiments may steadily be reduced. Furthermore, the advance is by geometrical, and not merely by arithmetical progression. Every discovery and achievement is multiplied in fruitfulness through being added to the capital stock and ...
— The Moral Economy • Ralph Barton Perry

... among the Typees, the Scriptural injunction to increase and multiply seems to be but indifferently attended to. I never saw any of those large families in arithmetical or step-ladder progression which one often meets with at home. I never knew of more than two youngsters living together in the same home, and but seldom even that number. As for the women, it was very plain that the ...
— Typee - A Romance of the South Sea • Herman Melville

... 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 out of each eye, and he said, ...
— Barnaby Rudge • Charles Dickens

... 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 ...
— The Pharaoh and the Priest - An Historical Novel of Ancient Egypt • Boleslaw Prus

... horse. At sixteen be fell in love with an older literary 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 the road marked out for him; when coming home from ...
— Youth: Its Education, Regimen, and Hygiene • G. Stanley Hall

... 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 ...
— The German Classics of The Nineteenth and Twentieth Centuries, Vol. VIII • Various

... of his which has been preserved is a book of arithmetical problems. It was customary, when George attended school, to write the solution of problems in arithmetic in a blank-book—not the result merely, but the whole process of solution. Sometimes the rules were copied, also, into the book. It was a very good practice ...
— From Farm House to the White House • William M. Thayer

... 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

... 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 were there ...
— The Metal Monster • A. Merritt

... studies which possess direct 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 is to say, the lowest day-school ...
— Tuskegee & Its People: Their Ideals and Achievements • Various

... been lately said and written on the authenticity of the Pentateuch and the other historical books of the Old Testament. The Bishop of Natal has thrown out in a crude form the critical results of the enquiries of the Germans, coupled with certain arithmetical calculations, for which he has a special aptitude. He supposes himself to have proved that the first five books of the Bible are a compilation of uncertain date, full of inconsistencies and impossibilities. The apologists ...
— Short Studies on Great Subjects • James Anthony Froude

... the foremost wagons, they increase so rapidly that notwithstanding proper precaution and slowness in front, a rear-guard will often be kept running. The profanity produced by a single chuck hole in a narrow road appears to increase in arithmetical proportion as the wagons successively approach, and teamsters in the rear find their ingenuity taxed to preserve their reputation for the ...
— Red-Tape and Pigeon-Hole Generals - As Seen From the Ranks During a Campaign in the Army of the Potomac • William H. Armstrong

... of the mechanical intellect. To do this was in an especial sense to stamp matter with the impress of mind, and render it subservient to the highest thinking faculty. Attempts had been made at an early period to perform arithmetical calculations by mechanical aids more rapidly and precisely than it was possible to do by the operations of the individual mind. The preparation of arithmetical tables of high numbers involved a vast deal of labour, and even with the greatest ...
— Industrial Biography - Iron Workers and Tool Makers • Samuel Smiles

... is not a merely arithmetical one of this kind. Your fragments of broken admirations will not, when they are put together, make up one whole admiration; two and two, in this case, do not make four, nor anything like four. Your good picture, or ...
— A Joy For Ever - (And Its Price in the Market) • John Ruskin

... war of 1812 to practice his profession. After the breaking out of hostilities he left it, or rather, as he says, "escaped from it, before being taken prisoner into the interior"—whatever that may mean. In the early part of "the steelyard and arithmetical war," as Cooper phrased it, which has raged with extreme violence ever since the peace of Ghent, James bore a gallant and conspicuous part. He published a pamphlet on the subject, which, in 1817, came out expanded into ...
— James Fenimore Cooper - American Men of Letters • Thomas R. Lounsbury

... the literal inspiration of the Scriptures and the actual historical character of the Mosaic story. Arnold's censorious criticism of the first volume of this work is entitled The Bishop and the Philosopher (Macmillan's Magazine, January, 1863). As an example of the Bishop's cheap "arithmetical demonstrations" he describes him as presenting the case of Leviticus as follows: "'If three priests have to eat 264 pigeons a day, how many must each priest eat?' That disposes of Leviticus." The essay is devoted chiefly to contrasting Bishop Colenso's ...
— Selections from the Prose Works of Matthew Arnold • Matthew Arnold

... 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 ...
— The Federalist Papers • Alexander Hamilton, John Jay, and James Madison

... from him, Raymond Lulle or de Lulle, an unbridled schoolman, in his Ars magna invented a reasoning machine, analogous to an arithmetical machine, in which ideas were automatically deduced from one another as the figures inscribe themselves on a counter. As often happens, the excess of the method was its own criticism, and an enemy of scholasticism could not have more ingeniously demonstrated that it was a kind of mechanism. ...
— Initiation into Philosophy • Emile Faguet

... of mercantile gentlemen "feeding like one" at innumerable little tables, to a gallery where the musicians must have sat of old. There it was that Phyllis found and neat-handedly served my friend and me, gently experiencing a certain difficulty in our combined addition, but mastering the arithmetical problem presently, and taking our tip with an air of surprise which it never created in any of the English-learning Swiss, French, or Italian Strephons ...
— London Films • W.D. Howells

... his 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

... tight rope and stand on his head. He is an adept at performing tricks, but it is his alertness of brain that places him apart from other animals. There is the example of the famous Munito, who in 1818 perplexed the Parisians by his cleverness with playing cards and his intricate arithmetical calculations. Paris was formerly the home of most of the learned Poodles, and one remembers the instance of the Poodle of the Pont Neuf, who had the habit of dirtying the boots of the passers-by in order that his master—a shoe-black stationed half-way ...
— Dogs and All About Them • Robert Leighton

... 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 ...
— The Autocrat of the Breakfast Table • Oliver Wendell Holmes

... 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 century than it was in the ...
— The Victorian Age in Literature • G. K. Chesterton

... them in the struggle of existence, and as reason gradually came these instincts may have waned away. Some instincts certainly do wane when the intellect is applied steadily to their subject-matter. The curious 'counting boys,' the arithmetical prodigies, who can work by a strange innate faculty the most wonderful sums, lose that faculty, always partially, sometimes completely, if they are taught to reckon by rule like the rest of mankind. In like manner I have heard it said that a man could soon reason ...
— Physics and Politics, or, Thoughts on the application of the principles of "natural selection" and "inheritance" to political society • Walter Bagehot

... defeats. And, in degree, this holds true of those events of war 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 ...
— White Jacket - or, the World on a Man-of-War • Herman Melville

... 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 of her later revolutions, ...
— Theological Essays and Other Papers v1 • Thomas de Quincey

... says (Ethic. ii, 6; v, 4) that the mean of justice is to be taken according to "arithmetical" proportion, so that it is ...
— Summa Theologica, Part II-II (Secunda Secundae) • Thomas Aquinas

... 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

... Arithmetical Puzzles, an immense class, full of diversity. These range from the puzzle that the algebraist finds to be nothing but a "simple equation," quite easy of direct solution, up to the profoundest problems in the elegant domain of the theory ...
— The Canterbury Puzzles - And Other Curious Problems • Henry Ernest Dudeney

... set of proofs of government stamps. I have begun making a collection, and he will provide that much, if properly approached. The children are well. The boys dun me regularly. Pinny is more artful about it than the rest. He makes all sorts of promises, calls me "dearest papa," and sends me arithmetical problems he has solved and German stories he has pilfered from his reader. Still, I am very proud of those children; at any rate, I want to go first. Give my love to Hawkins and his wife and to Buskett; ...
— Eugene Field, A Study In Heredity And Contradictions - Vol. I • Slason Thompson

... what he wanted, and tell the next fellow he met, who, after satisfying his desires would do unto another as he was done by, fulfilling the moral rules. In this manner, the whole treasure would soon be absorbed in an arithmetical decreasing progression. ...
— History of the Eighty-sixth Regiment, Illinois Volunteer Infantry, during its term of service • John R. Kinnear

... had conceived the idea of a much more powerful machine, the "analytical engine," intended to perform any series of possible arithmetical operations. Each of these was to be communicated to the machine by aid of cards with holes punched in them into which levers could drop. It was long taken for granted that Babbage left complete plans; the committee of the ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various

... lakes, and of the shores of Italy, you will think better of these. The Highlands are remarkable for their surprises, rather than for their grandeur, as we shall presently see. As to the latter, it is an affair of feet and inches, and is capable of arithmetical demonstration. We have often been on lakes, beneath beetling cliffs of from three to six thousand feet in height; whereas, here, the greatest elevation is materially less than two. But, Sir George Templemore, and you, Miss Effingham, do me the favour to combine your cunning, ...
— Home as Found • James Fenimore Cooper

... 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 certainty that, if you have any English blood at all, you have also Norman. If we could ...
— Mont-Saint-Michel and Chartres • Henry Adams

... 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 ...
— Little Dorrit • Charles Dickens

... at being summoned hither so hastily, to the interruption of his more abstract studies; and, unwilling to renounce the train of calculation which he had put in progress, he mingled whimsically with the fragments of the arithmetical operation, his oratory to the passengers, and angry reflections on his idle apprentices. "What d'ye lack, sir? Madam, what d'ye lack—clocks for hall or table—night- watches—day watches?—Locking wheel being 48—the power of retort 8 —the striking pins are 48—What d'ye ...
— The Fortunes of Nigel • Sir Walter Scott

... 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; this is a ...
— The Law and the Word • Thomas Troward

... 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. When the error was pointed out ...
— Stories and Sketches • Harriet S. Caswell

... the largest number that can be named in Arithmetical notation. Hence, it implies, as the commentator correctly explains, the possessor ...
— The Mahabharata of Krishna-Dwaipayana Vyasa, Volume 4 • Kisari Mohan Ganguli

... he ever, whether in private or in public, breathe an unfriendly word against 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

... he wished and expected. The duty of an 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 ...
— Waverley • Sir Walter Scott

... 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

... fall into paroxysms of emotion about 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 ...
— Historical and Political Essays • William Edward Hartpole Lecky

... to say, "Put you back half-an-hour every morning, and about another quarter towards the afternoon, and you've a watch that can be equalled by a few and excelled by none." Dixon, therefore, when asked the time of day, was usually obliged to go through an arithmetical ...
— The Parish Clerk (1907) • Peter Hampson Ditchfield

... of the stretchers is found approximately by a simple arithmetical sum, being the square root of the sum of the squares of the lengths of two adjacent sides of the box. For example, if each box is 20 by 15 inches, the diagonal is the square root of (20 squared plus 15 squared) square root of 625 25 inches. The space occupied by ...
— Things To Make • Archibald Williams

... census 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; but a new family coming ...
— Homeward Bound - or, The Chase • James Fenimore Cooper

... 'No, I am not; but it is my turn to-day, and for the first time, to sing the Angelic Hymn of Praise in Heaven: let me go.' In another Tadmudical passage an early biblical critic is discussing certain arithmetical difficulties in the Pentateuch. Thus he finds the number of Levites (in Numbers) to differ, when summed up from the single items, from that given in the total. Worse than that, he finds that all ...
— The Gaming Table: Its Votaries and Victims - Volume II (of II) • Andrew Steinmetz

... elevation 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 ...
— Sixteen Months in Four German Prisons - Wesel, Sennelager, Klingelputz, Ruhleben • Henry Charles Mahoney

... beside a boarder of his own sex, instead of Mrs. Davis, and saw that the school-teacher was too far down the table for jokes. When he asked why their seats had been changed, Eleanor said she had felt a draught—which caused the widow to smile, and write on a piece of paper an arithmetical statement: "Selfishness vanity - humor jealousy." She handed it to the teacher, who ...
— The Vehement Flame • Margaret Wade Campbell Deland

... 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 ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan

... 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 ...
— Preface to Androcles and the Lion - On the Prospects of Christianity • George Bernard Shaw

... husbands are 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 whose principles are merely prejudices, and who not having the force of character to ...
— Analytical Studies • Honore de Balzac

... 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 ...
— The Mind Master • Arthur J. Burks

... named. The result of this investigation filled him with amazement and disgust; but it was now too late; nothing remained but to endure; and he awaited the arrival of his tenant, still trying, by various arithmetical expedients, to obtain a more favourable quotation for the dollar. With the approach of dusk, however, his impatience drove him once more to the front balcony. The night fell, mild and airless; the ...
— The Dynamiter • Robert Louis Stevenson and Fanny van de Grift Stevenson

... an acceptable business hand; should be able to execute a faultless letter so far as relates to form, spelling, and grammatical construction, should have a fair knowledge of commercial law, and have completed his arithmetical course. ...
— Scientific American, Volume XLIII., No. 25, December 18, 1880 • Various

... that we willingly contribute our 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 ...
— Guy Mannering • Sir Walter Scott

... argument in favour of a keen competition for the means of existence continually going on within every animal species is—to use Professor Geddes' expression—the "arithmetical argument" ...
— Mutual Aid • P. Kropotkin

... logarithms, 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 ...
— The Astronomy of Milton's 'Paradise Lost' • Thomas Orchard

... old melon,' I said, 'and I should advise you to follow my example and get your batman to keep the count. Otherwise your play will be affected by arithmetical troubles.' ...
— Punch, or the London Charivari, Volume 158, February 4, 1920 • Various

... 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, ...
— Silas Marner - The Weaver of Raveloe • George Eliot

... that instrument. Besides, how 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 and geometry?—Timkowski's Mission ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 10, Issue 266, July 28, 1827 • Various

... and to attend to the details of candle-making, cutting wicks, filling moulds, and waiting upon customers. He could write a good hand, could read fluently, could express himself with ease on paper, but in all arithmetical studies was ...
— Benjamin Franklin, A Picture of the Struggles of Our Infant Nation One Hundred Years Ago - American Pioneers and Patriots Series • John S. C. Abbott

... with her theme. The martially-amorous melodies of Italian Opera in those days fostered a passion challenged to intrepidity from the heart of softness; gliding at the same time, and putting warm blood even into dull arithmetical figures which might be important to her lover, her hero fronting battle. She condensed Redworth's information skilfully, heartily giving it and whatever she had imbibed, as her own, down to the remark: 'Common sense in questions of justice, is a weapon that makes way into human heads ...
— The Shaving of Shagpat • George Meredith

... inconceivably. Knowing nothing either of Latin or Greek, they were beneath a gentleman's notice, fit only for parsons and pedants; and he was too patriotic to cast a thought away upon French. As he was engaged for the arithmetical and mathematical departments, it would have been perhaps as well if he had known a little of algebra and Euclid; but, as from the first day he honoured me with a strict though patronising friendship, he made me soon understand that ...
— Rattlin the Reefer • Edward Howard

... seemingly formal and arithmetical—division, will be found, as we use it, very singularly emphasized by signs of most notable change in the knowledge, disciplines, and morals ...
— Our Fathers Have Told Us - Part I. The Bible of Amiens • John Ruskin

... over his eyes; one 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 ...
— Romola • George Eliot

... though the 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

... 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 miserable failures—frightful losses. The polite ...
— The Gaming Table: Its Votaries and Victims - Volume I (of II) • Andrew Steinmetz

... by Pythagoras, "the fundamental 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 ...
— The Nuttall Encyclopaedia - Being a Concise and Comprehensive Dictionary of General Knowledge • Edited by Rev. James Wood

... return to Henry. I should imagine that his mind was not much affected by the perusal of this description of books: but rather that he was constantly meditating upon some old arithmetical work—the prototype of Cocker—which, in the desolation of the ensuing half century, has unfortunately perished. Yet, if this monarch be accused of avaricious propensities—if, in consequence of speculating deeply in ...
— Bibliomania; or Book-Madness - A Bibliographical Romance • Thomas Frognall Dibdin

... impulse came from the Colonies, which, themselves enjoying the privilege of spiritual independence, were generously anxious to coalesce at a time of trial with the fettered Church at home. The immediate occasion of the movement was the eccentricity of Bishop Colenso—"the arithmetical Bishop who could not forgive Moses for having written a Book of Numbers." The faith of some was seriously perturbed when they heard of a Bishop who, as Matthew Arnold said, "had learnt among the Zulus that only ...
— Prime Ministers and Some Others - A Book of Reminiscences • George W. E. Russell

... the great authority on the Bubi language says it is a Bantu stock. {56} I know nothing of it myself save that it is harsh in sound. Their method of counting is usually by fives but they are notably weak in arithmetical ability, differing in this particular from the mainlanders, and especially from their Negro neighbours, who are very good at figures, surpassing the Bantu in this, as indeed they do in most ...
— Travels in West Africa • Mary H. Kingsley

... you will 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 you should ...
— The Radio Amateur's Hand Book • A. Frederick Collins

... patients must be very ridiculous; so likewise must that entertainer who, inviting a great many guests that can neither eat nor drink alike, sets before every one an equal mess, and measures what is just and fit by an arithmetical not geometrical proportion. When we go to a shop to buy, we all use, it is true, one and the same public measure; but to an entertainment each man brings his own belly, which is satisfied with a portion, not because it is equal to that which others ...
— Essays and Miscellanies - The Complete Works Volume 3 • Plutarch

... you that I was skilful in all games of mingled skill and chance? It requires an arithmetical head for that: a first-rate card-player is a financier spoilt. I am certain that you never could find a man fortunate on the turf or at the gaining-table who had not an excellent head for figures. Well, this French is good enough, apparently; ...
— The Caxtons, Complete • Edward Bulwer-Lytton

... our strongest and angriest feelings. It is held that only wickedness or lunacy can resist the evidence that has convinced a vast majority. By arithmetical calculation the chances that twelve men are wrong and twelve thousand [11] right, on a matter of inductive or deductive proof, are found to amount to what must be taken for practical certainty; and when the twelve ...
— Across the Zodiac • Percy Greg

... the direct order: "Cut that bar into five pieces all of the same size." The boy was unable to lay out the work, although when asked by the foreman, "Don't you know how to divide 81/2 by 5?", he performed the arithmetical operation without difficulty. The employer gave this instance as an illustration of what to his mind constituted one of the principal defects of public school teaching. "Mere knowledge of mathematical principles and the ...
— Wage Earning and Education • R. R. Lutz

... sleep 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 ...
— Anna Karenina • Leo Tolstoy

... to learn the spirit of the people by arithmetical computation, of course it's very difficult to arrive at it. And voting has not been introduced among us and cannot be introduced, for it does not express the will of the people; but there are other ways of reaching that. It is felt in the air, it is felt by the heart. I won't ...
— Anna Karenina • Leo Tolstoy

... certain practical items of elementary education, which present themselves even at the age of six, and must be seriously envisaged at seven, urge their objection in this form: Now we are face to face with the ugly specter of arithmetical tables, the arid mental gymnastics exacted by grammar. What do you propose? Would you abolish all this, or do you admit that the child must ...
— Spontaneous Activity in Education • Maria Montessori

... Miss Quincey's MS. had become a sightless blur. But she had managed to jot down in her neat arithmetical way: "Poets ...
— Superseded • May Sinclair

... unattended with danger. The work in itself was also harassing and troublesome; and the youthful Pascal, anxious to assist his father, had busied himself in the invention of a machine for performing arithmetical calculations, which made a great sensation at the time. Ingenious as the machine was, it came to little, as we shall see in the next chapter, which will be devoted to a brief account of Pascal’s scientific discoveries. In the meantime ...
— Pascal • John Tulloch

... 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 ...
— The Shirley Letters from California Mines in 1851-52 • Louise Amelia Knapp Smith Clappe

... mental characteristics of the people, the first place is due to their intellectual ability. Inheriting a legacy of scientific knowledge, astronomical and arithmetical, from the Proto-Chaldaeans, they seem to have not only maintained but considerably advanced these sciences by their own efforts. Their "wisdom and learning" are celebrated by the Jewish prophets Isaiah, Jeremiah, and Daniel; the Father of History ...
— The Seven Great Monarchies Of The Ancient Eastern World, Vol 4. (of 7): Babylon • George Rawlinson

... thing of real life; we count chiefly in connection with money, with making things, with distributing things, or with arranging things, and we count carefully when we keep scores in games; in adult life we seldom or never count or perform arithmetical operations for sheer pleasure in the activity, but there are many children who do so in the same spirit as we play patience or chess. And all this is our basis. The arithmetical activities in the ...
— The Child Under Eight • E.R. Murray and Henrietta Brown Smith

... In its external, arithmetical structure, the fabric of life and its requirements in the new order will resemble that of to-day far more closely than most of us imagine—on the other hand, the inward and personal constitution of man ...
— The New Society • Walther Rathenau

... 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 have proved ...
— The Uninhabited House • Mrs. J. H. Riddell

... 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

... 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 ...
— The Problems of Philosophy • Bertrand Russell

... 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 ...
— The Evolution of Modern Capitalism - A Study of Machine Production • John Atkinson Hobson

... 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

... flicker 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

... By this you 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 ...
— Marguerite de Navarre - Memoirs of Marguerite de Valois Queen of Navarre • Marguerite de Navarre

... mine. Have you not seen it before? It has been in the house these two 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 ...
— Library Of The World's Best Literature, Ancient And Modern, Vol 4 • Charles Dudley Warner

... 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 ...
— Marge Askinforit • Barry Pain

... science; but he was 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, adapted paddle-wheels to boats, projected new systems of siege ...
— Renaissance in Italy Vol. 3 - The Fine Arts • John Addington Symonds

... your new business at Lord Albemarle's does not hinder you. But, at all events, I insist upon your never missing Marcel, who is at present of more consequence to you than all the bureaux in Europe; for this is the time for you to acquire 'tous ces petits riens', which, though in an arithmetical account, added to one another 'ad infinitum', they would amount to nothing, in the account of the world amount to a great and important sum. 'Les agremens et les graces', without which you will never be anything, are absolutely made up of all those 'riens', which are more easily felt than described. ...
— The PG Edition of Chesterfield's Letters to His Son • The Earl of Chesterfield

... act 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

... pressure by population on the 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 their number ...
— Human Traits and their Social Significance • Irwin Edman

... 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 ...
— The Elements of General Method - Based on the Principles of Herbart • Charles A. McMurry

... 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 trade, domestic and foreign • Henry Charles Carey

... in his boyhood, had attended the village school, and possessed considerable arithmetical ability. Taking up a shingle which lay upon his work-bench, and producing a piece of chalk, with a feeling of conscious pride he made ...
— The Luck of Roaring Camp and Other Tales • Bret Harte

... 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; ...
— Memoranda Sacra • J. Rendel Harris

... was bitter, the snow lay thick in the passes, sentinels were frozen at the outposts, and a curious stream of desertions began. The warm plains of sunny France tempted the half-frozen troops, and Southey computes, with an arithmetical precision which is half-humorous, that the average weekly proportion of desertions was 25 Spaniards, 15 Irish, 12 English, 6 Scotch, and half a Portuguese! One indignant English colonel drew up his regiment on parade, and told the men that ...
— Deeds that Won the Empire - Historic Battle Scenes • W. H. Fitchett

... 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

... assigned to the ages of bronze and iron, were formed. Vainly should we be straining our imaginations to guess the possible uses and meaning of such relics—machines, perhaps, for navigating the air or exploring the depths of the ocean, or for calculating arithmetical problems beyond the wants or even the ...
— The Antiquity of Man • Charles Lyell

... a class of writers distinguishable chiefly for a sleepless activity in assailing the authority of the Christian religion, does not require the assumption of numerical identity of origin, but rather the contrary. "It is not necessary," he says, "to assume the arithmetical oneness of mankind, and the derivation of all from a single pair, thus arbitrarily confining and limiting the creative power of the Highest Being;" and this position he proceeds to advocate by a variety of ...
— The International Monthly, Volume 3, No. 2, May, 1851 • Various

... 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 ...
— Expositions of Holy Scripture - Genesis, Exodus, Leviticus and Numbers • Alexander Maclaren

... doctrine of the Mean. The specific excellence of virtue is to be got at from quantity in the abstract, from which we derive the conceptions of more, less, and equal; or excess, defect, and mean; the equal being the mean between excess and defect. But in the case of moral actions, the arithmetical mean may not hold (for example, six between two and ten); it must be a mean relative to the individual; Milo must have more food than a novice in the training school. In the arts, we call a work perfect, when anything either added ...
— Moral Science; A Compendium of Ethics • Alexander Bain

... true of economic science? Within certain limits, it is apparently true: Ricardo used mathematical formulae, though he kept to arithmetic, instead of algebra. When Malthus spoke of arithmetical and geometrical ratios, the statement, true or false, was, of course, capable of precise numerical expression, so soon as the ratios were assigned. So there was the famous formula proving a relation between the number of ...
— Social Rights and Duties, Volume I (of 2) - Addresses to Ethical Societies • Sir Leslie Stephen

... 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 ...
— History of the Warfare of Science with Theology in Christendom • Andrew Dickson White

... played a little. I wanted to try some experiments. I had made some arithmetical calculations of probabilities, which ...
— Confidence • Henry James

... burst the old bonds but, withal, the soul still yearned for more. The vanity of knowledge is expressed as nowhere else in Duerer's Melancholia, one of the world's greatest pictures. Surrounded by scientific instruments,—the compass, the book, the balance, the hammer, the arithmetical square, the hour-glass, the bell—sits a woman with wings too small to raise her heavy body. Far in the distance is a wonderful city, with the glory of the Northern Lights, but across the splendid vision flits the little bat-like creature, fit ...
— The Age of the Reformation • Preserved Smith

... share in the general delusion was Edmund Burke. David Hume, 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 ...
— The History of England from the Accession of James II. - Volume 4 (of 5) • Thomas Babington Macaulay

... Menagier to contain three parts: first of all, a number of parlour games for indoor amusement; secondly, a treatise on hawking, the favourite outdoor amusement of ladies; and thirdly, a list of amusing riddles and games of an arithmetical kind ('concerning counting and numbering, subtle to find out or guess'), presumably of the nature of our old friend, 'If a herring and a half cost three ha'pence.' Unfortunately, the Menagier seems ...
— Medieval People • Eileen Edna Power

... Cusanus' books have curiously modern names. He wrote, for instance, a series of mathematical treatises, in Latin of course, on "Geometric Transmutations," on "Arithmetical Complements," on "Mathematical Complements," on "Mathematical Perfection," and on "The Correction of the Calendar." In his time the calendar was in error by more than nine days, and Cusanus was one of those who aroused sufficient interest in the subject, ...
— Old-Time Makers of Medicine • James J. Walsh

... and went to the calculation room. Swiftly he selected already prepared graphs, graphs of the math he had worked on. Devin came soon, and others. They assembled the data and with tables and arithmetical machines ...
— The Ultimate Weapon • John Wood Campbell

... 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 ...
— An Elementary Study of Chemistry • William McPherson

... 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 is the same by which positive thought ...
— The Edinburgh Lectures on Mental Science • Thomas Troward

... minds have sought to avoid the gross horrors and unreasonableness of the usual view of this subject, by changing the mechanical and arithmetical values of the terms for spiritual and religious values. They give the word "eternity" a qualitative instead of a quantitative meaning. The everlasting woe of the damned consists not in mechanical inflictions of torture ...
— The Destiny of the Soul - A Critical History of the Doctrine of a Future Life • William Rounseville Alger

... 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 ...
— Hide and Seek • Wilkie Collins

... 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, and becomes the property of the market and the tea-table. At least ...
— Biographia Literaria • Samuel Taylor Coleridge

... 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 ...
— Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry • Albert Pike

... 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

... 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 ...
— Blackwood's Edinburgh Magazine — Volume 57, No. 351, January 1845 • 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

... according to him, and according to 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

... 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 ...
— Notes and Queries 1850.04.06 • Various

... description surpasses my powers:" he refers the reader to the above work, a "very scarce book" in his time, and we have been at some pains to obtain the reprint, (London, 1685,) appended to Holwell's Clavis Horologiae; or Key to the whole art of Arithmetical Dialling, ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 14, - Issue 400, November 21, 1829 • Various

... the Greek and the barbarian, the freeman and the slave, the gentleman and the artisan—regarding them as natural and fundamental, not as the casual product of circumstances. The "equality" which they sought in a well-ordered state was proportional not arithmetical—the attribution to each of his peculiar right, not of equal rights to all. Some were born to rule, others to serve; some to be ends, others to be means; and the problem to be solved was not how to obliterate these varieties of tone, but how ...
— The Greek View of Life • Goldsworthy Lowes Dickinson

... observers to whom this example has already been submitted showed wide difference in arithmetical skill. One of them took but a few seconds over two minutes, in the best of six trials, to add by the usual figures, and set down the sum, but one figure in all the six additions being wrong; another added once in ten minutes fifty-seven seconds, and once in eleven minutes seven seconds, with half ...
— Scientific American Supplement, No. 421, January 26, 1884 • Various

... (roughly 16,000 lineal feet) draws water only from a few millimeters of surrounding soil, then that single rye plant should be able to continue ramifying into a cubic foot of silty soil and find enough water for quite a few days before wilting. These arithmetical estimates agree with my observations in the garden, and with my ...
— Gardening Without Irrigation: or without much, anyway • Steve Solomon

... observed that the week numbers of the days in each single column follow one another in regular arithmetical order, thus: in the first column, 4, 5, 6; in the second, 12, 13, 1; in the third, 7, 8, 9; and so on throughout the entire series. The interval, therefore, between the successive days of a column is 1; or, in other ...
— Aids to the Study of the Maya Codices • Cyrus Thomas

... 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 do ...
— The Wide, Wide World • Elizabeth Wetherell

... and was fast becoming intolerable. Year by year, almost month by month, they saw the numbers of their foes increase, and saw them settle more and more thickly in places from which it would be easy to strike New Orleans. Year by year the offensive power of the Americans increased in more than arithmetical ratio as ...
— The Winning of the West, Volume Four - Louisiana and the Northwest, 1791-1807 • Theodore Roosevelt

... 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 ...
— War-Time Financial Problems • Hartley Withers

... other 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 mathematician, the compiler of a practical arithmetic, ...
— Jewish Literature and Other Essays • Gustav Karpeles

... other; whereas they are only commensurable with themselves. But if this is true, then we are in 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

... many rare gifts, and amongst these was one which he was always ready to exercise for the entertainment of visitors. At the close of luncheon or dinner Kepler used to march into the room, and set himself down at his master's feet. Dr. Huggins then asked him a series of arithmetical questions, which the dog invariably solved without a mistake. Square roots were extracted off-hand with the utmost readiness and promptness. If asked what was the square root of nine, Kepler replied by three barks; ...
— Harper's Young People, October 5, 1880 - An Illustrated Weekly • Various

... fire. What should we think of now? All is emptiness. So we take the old arithmetic; and the multiplication table, which with so much pains we learnt long ago and forgot directly, we learn now in a few hours, and never forget again. We take a strange satisfaction in working arithmetical problems. We pause in our building to cover the stones with figures and calculations. We save money for a Latin Grammar and Algebra, and carry them about in our pockets, poring over them as over our Bible of old. We have thought we were ...
— The Story of an African Farm • (AKA Ralph Iron) Olive Schreiner

... sometimes war. Nor is it desirable that the human race should be multiplied to its utmost capacity. It is enough here to mention without discussing the teaching of Malthus, how population presses on the means of subsistence, the latter increasing in an arithmetical, the former in a geometrical ratio. Without going the whole way with Malthus, modern economical writers are commonly a little Malthusian, and shrink from giving to all and each of their species the ...
— Moral Philosophy • Joseph Rickaby, S. J.

... the road, and watch how those webs laid hold of the earth like a hand. He would struggle to enter into their feelings in folding their wings properly on their backs. He would calculate, on chemical and arithmetical grounds, whether one might not hear the nocturnal growth of plants in the tropics. He was quite elated by the discovery, ...
— David Elginbrod • George MacDonald

... only during the rainy season. The climate does not differ much from that there. It has very dense fogs. I have been unable to make a complete map of the island. I am sending your Lordship only that of this river, made with exactness, with all its arms and estuaries, and their settlements. The arithmetical symbols represent the number of people in each, and the letters the names of the chiefs. I have corrected it with all care. We have already examined almost everything from the coast of La Canela, Dapitan, and Botran [Butuan?]. There is a full report there ...
— The Philippine Islands, 1493-1898 - Volume IX, 1593-1597 • E. H. Blair

... Will. He is famous for 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 hand ...
— Reprinted Pieces • Charles Dickens

... 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 ...
— Thoughts on Man - His Nature, Productions and Discoveries, Interspersed with - Some Particulars Respecting the Author • William Godwin

... 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



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