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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



... of 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 artillery, investigated the principles ...
— Renaissance in Italy Vol. 3 - The Fine Arts • John Addington Symonds

... exactness. Professor Smyth, in speaking of the calculations and theoretical dimensions of this coffer—as published by Mr. Jopling, a believer in its wonderful standard character—critically and correctly observes, "Some very astonishing results were brought out in the play of arithmetical numerations." ...
— Archaeological Essays, Vol. 1 • James Y. Simpson

... 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 ...
— Jerome, A Poor Man - A Novel • Mary E. Wilkins Freeman

... instructions which I pretended to receive indifferently. I went to the military school, and as soon as I arrived the conference began. M. d'Alembert had been requested to be present as an expert in arithmetical calculations. If M. du Vernai had been the only person to be consulted, this step would not have been necessary; but the council contained some obstinate heads who were unwilling to give in. The conference ...
— The Memoires of Casanova, Complete • Jacques Casanova de Seingalt

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

... the question of difficulty, some of the puzzles, especially in the Arithmetical and Algebraical category, are quite easy. Yet some of those examples that look the simplest should not be passed over without a little consideration, for now and again it will be found that there is some more or less subtle pitfall or trap into which the reader may be apt to ...
— Amusements in Mathematics • Henry Ernest Dudeney

... was simple and primitive. Some arithmetical system had been evolved, but, on the other hand, they had calculated and adopted a chronology—probably it had been inherited from the Toltecs—which displayed a remarkable precision, in that they adjusted the difference ...
— Mexico • Charles Reginald Enock

... Uncle Robert explains arithmetical puzzles, and card and other tricks. There are suggestions for celebrating the different holidays, and ...
— A Mother's List of Books for Children • Gertrude Weld Arnold

... During this arithmetical process, Rube, instead of gazing any longer into the barrel of his rifle, had kept his eyes wandering up and down the cliff. Before he had ceased talking, both Garey and myself had divined his plan, but we refrained from telling him so. To have anticipated ...
— The War Trail - The Hunt of the Wild Horse • Mayne Reid

... indeed it may be described) of harmonic analysis consists in deducing from the hourly observations the facts with regard to each of the constituent tides. This art has been carried to such perfection, that it has been reduced to a very simple series of arithmetical operations. Indeed it has now been found possible to call in the aid of ingenious mechanism, by which the labours of computation are entirely superseded. The pointer of the harmonic analyzer has merely to be traced over the curve which the tide-gauge has drawn, and it is the function ...
— Time and Tide - A Romance of the Moon • Robert S. (Robert Stawell) Ball

... the two sides of an equation exhaust each other. We never hear of a man trying to pay his own personal debts otherwise than with money, but we have had hundreds of projects for paying the national debt without money, and generally through some curious and ingenious arithmetical process. We might perhaps amuse our readers by an account of some of these, for to their absurdity there are no bounds; but we adhere in the meantime to our engagement, to shew that on this subject even the ...
— Chambers' Edinburgh Journal, No. 421, New Series, Jan. 24, 1852 • Various

... accounts, should write 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

... 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 form their own ...
— The Physiology of Marriage, Part I. • Honore de Balzac

... will only be a half finished product or a doubtful alloy, a few rough drafts of the sciences, the rudiments of pedagogy as with Rousseau, of political economy with Quesnay, Smith, and Turgot, of linguistics with Des Brosses, and of arithmetical morals and criminal legislation with Bentham. Finally, if none of these conditions are complied with, the same efforts will, in the hands of philosophical amateurs and oratorical charlatans, undoubtedly only produce mischievous ...
— The Origins of Contemporary France, Volume 1 (of 6) - The Ancient Regime • Hippolyte A. Taine

... 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 clue to guide him out of the maze; or whether his imagination, seduced by some point of apparent resemblance, lent its aid to make the similitude between the two operations more exactly accurate than it might ...
— Guy Mannering, or The Astrologer, Complete, Illustrated • Sir Walter Scott

... Joseph with the 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 ...
— The Kasidah of Haji Abdu El-Yezdi • Richard F. Burton

... yet very far from an answer, and there will be no existence for us without finding one. "A fair day's-wages for a fair day's-work:" it is as just a demand as Governed men ever made of Governing. It is the everlasting right of man. Indisputable as Gospels, as arithmetical multiplication-tables: it must and will have itself fulfilled;—and yet, in these times of ours, with what enormous difficulty, next-door to impossibility! For the times are really strange; of a complexity intricate with all the new width of the ever-widening world; times here of ...
— Past and Present - Thomas Carlyle's Collected Works, Vol. XIII. • Thomas Carlyle

... scientific truths are frequently unknown. A connected view of our nation's history and knowledge of current events are not always possessed. The great world of literature is too often a closed book. And not seldom the simple relations of arithmetical number are beyond the grasp of the applicant. In short, our rural schools, as they average, require no adequate preparation of the teacher, and do not represent as much education in their teaching force as that needed by the intelligent farmer, ...
— New Ideals in Rural Schools • George Herbert Betts

... exertions in its favor, to which the example of France is so singularly auspicious? Is our monarchy to be annihilated, with all the laws, all the tribunals, and all the ancient corporations of the kingdom? Is every landmark of the country to be done away in favor of a geometrical and arithmetical constitution? Is the House of Lords to be voted useless? Is Episcopacy to be abolished? Are the Church lands to be sold to Jews and jobbers, or given to bribe new-invented municipal republics into a participation in sacrilege? Are all the taxes to be voted grievances, and ...
— The Works of the Right Honourable Edmund Burke, Vol. III. (of 12) • Edmund Burke

... retired from business towards the close of his useful and admirable life, he spoke to his friends of occupying himself with "ingenious trifles," and of turning "some of his idle thoughts" upon the invention of an arithmetical machine and a machine for copying sculpture. These and other useful works occupied his attention ...
— James Nasmyth's Autobiography • James Nasmyth

... 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 ...
— Barnaby Rudge • Charles Dickens

... your wife's estimation; for she will demand of you, reasonably enough, double what you would give her, and the time will come when you declare bankruptcy. The human soul in its desires follows a sort of arithmetical progression, the end and origin of which are equally unknown. Just as the opium-eater must constantly increase his doses in order to obtain the same result, so our mind, imperious as it is weak, desires that feeling, ideas and objects should go on ever ...
— The Physiology of Marriage, Part II. • Honore de Balzac

... grappling with complicated sums from a leisurely study of those green spaces and the animated panorama of the passing crowd. But to-day there was nothing particularly complicated about the family accounts, and Dolores Paulo sought for no arithmetical inspiration from the pleasant out-look. Her mind was wholly occupied with the thought of what Captain Sarrasin had been saying to her—of the possible peril ...
— The Dictator • Justin McCarthy

... fill his lockers, or something of that sort. But the distress of these very distressed mariners was not yet complete; a strange fatality seemed to have embarked with them. It was now the launch's turn: first the third boat, next the second, and now the launch in proper, though fortunately not arithmetical progression. It was discovered that the supply of coal could not possibly last to the ship! What was to be done? "Opportunity," it is said, "makes the thief;" it may be also said, with equal truth, that opportunity makes the dormant abilities of some men to soar above their fellows, over-riding ...
— In Eastern Seas - The Commission of H.M.S. 'Iron Duke,' flag-ship in China, 1878-83 • J. J. Smith

... Paris 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

... waking state at the expiration of a complicated number of minutes, as, for example, 40,825, she generally carried out the suggestion with absolute accuracy. In this and similar experiments, three points were noted. (1) The arithmetical problems were far beyond her normal powers; (2) she normally possessed no special faculty for appreciating time; (3) her waking consciousness retained no recollection of the experimental suggestions or of anything else that ...
— The World's Greatest Books - Volume 15 - Science • Various

... progress fell short in the latter particular of what 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 him with a painful sense ...
— Waverley • Sir Walter Scott

... comes (may its coming be hastened!) that women are even only as extensively organized as men are today, the organization of men will indeed proceed by leaps and bounds. It will not be by arithmetical, but by geometrical progression, that the union will count their increases, for it is the masses of unskilled, unorganized, ill-paid women and girl workers today, who in so many trades today increase the difficulties of the men tenfold. That dead weight removed, ...
— The Trade Union Woman • Alice Henry

... builders, though houses are needful, and 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 word to ...
— Moral Philosophy • Joseph Rickaby, S. J.

... volume 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 ...
— From Farm House to the White House • William M. Thayer

... right of the new-born baby. I do not see this theory to be self- evident: on the other hand the supporters of it always give it as fundamental, axiomatic; they no doubt presume rightly that the land is limited, and that if one man holds more than his arithmetical share, he must push out somebody else from his arithmetical share: while a man who keeps a hundred pocket-knives does not perceptibly hinder other people having numerous pocket-knives. Still I do not see how ...
— Speculations from Political Economy • C. B. Clarke

... 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 and informs it. It is the most important ...
— Hilaire Belloc - The Man and His Work • C. Creighton Mandell

... inseparable from admiration. It is the same in the parody of Dumas, which is arranged on the system of "Aramis killed three of them. Porthos three. Athos three." You cannot write that kind of thing unless you have first exulted in the arithmetical ingenuity of the plots of Dumas. It is the same in the parody of Charlotte Bronte, which opens with a dream of a storm-beaten cliff, containing jewels and pelicans. Bret Harte could not have written it ...
— Varied Types • G. K. Chesterton

... an arithmetical computation; if four persons lose respectively $10, $20, $30, and $40, the average loss is $25. The word is used figuratively by Dr. O.W. Holmes in "The average intellect of five hundred persons, taken as they come, is not very high." ...
— Practical Exercises in English • Huber Gray Buehler

... up our minds to believe in miracles then it is plain sailing from Genesis to the end of Deuteronomy, Both Ezra and Jeremiah are said to have written the last book of the Pentateuch, and some, question whether Moses was the author of either. Bishop Colenso also questions the arithmetical calculations of the historians in regard to the conquest of the Midianites, as described ...
— The Woman's Bible. • Elizabeth Cady Stanton

... tell 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; there are but a few idioms, here and ...
— The Caxtons, Complete • Edward Bulwer-Lytton

... upon their high foreheads—and cheerfully, and even with a sense of satisfaction, he would untie the bald, prosaic roll of paper, and seating himself at his window overlooking the long terrace, he would add up the figures submitted to him, detecting the smallest arithmetical error, making note of the least delay in payment of any money due, and questioning the slightest overpayment for work done. The morning hours fled as he pursued his congenial task; and from time to time he would let his thoughts ...
— A Mere Accident • George Moore

... 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 ...
— Homeward Bound - or, The Chase • James Fenimore Cooper

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

... flicker of rationality, the miser fell back, sputtering, into his previous gibberish, but it took now an arithmetical turn. Eyes closed, he ...
— The Confidence-Man • Herman Melville

... for, besides the fact that her father's house was the pleasantest meeting-place, her brother Hamish could not often go out at night, and she would rarely consent to leave him; and no one added so much to the general amusement as Hamish. He was very skilful at making puzzles and at all sorts of arithmetical questions, and not one of them could sing so many songs or tell so many stories as he. He was very merry and sweet-tempered too. His being a cripple, and different from all the rest, had not made him peevish and difficult to deal with as such misfortunes are so apt to do, and there was no ...
— Shenac's Work at Home • Margaret Murray Robertson

... 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 ...
— The Principles of Breeding • S. L. Goodale

... 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 ...
— The Philippine Islands, 1493-1898 - Volume 40 of 55 • Francisco Colin

... however, that is popularly put first in our agricultural and educational theory. "A sower went forth to sow." A teacher went forth to teach, that is, to scatter information, facts:—arithmetical, historical, geographical, linguistic facts. But the emphasis of the greatest agricultural parable in our literature was after all not on the sowing but on the soil, on that upon which or into which the seed fell,—or as it might be ...
— Modern American Prose Selections • Various

... me to keep ledgers and check butcher's bills like a twopennyhalfpenny clerk in the City. It is you, my dear Mr. Pogson, who have curious ideas of club management. You should put this sort of thing into the hands of some arithmetical hireling. I—" he waved his long fingers tipped with their long nails, magnificently—"am the picturesque, the intellectual, the spiritual guide of ...
— The Beloved Vagabond • William J. Locke

... our little pupils' hands and minds not unprofitably employed. For instance, the ivory disks of various colors—which you see arranged upon the table as the pupils have left them—serve very successfully to elucidate the arithmetical processes of numeration, addition, and subtraction; and the more intelligent children are taught to observe that the disks of varying colors are varyingly numbered—white, 1; red, 5, and blue, 10—and so are encouraged to identify a concrete ...
— Santa Fe's Partner - Being Some Memorials of Events in a New-Mexican Track-end Town • Thomas A. Janvier

... be held in men. Property applies to things. There is a 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 ...
— Atlantic Monthly, Vol. 9, No. 55, May, 1862 • Various

... profit of two hundred thousand dollars—enough to pay the interest on the mortgages, to take up the notes, and to furnish a working capital for the ensuing year. These things he knew in the strange concrete arithmetical manner of the routine bookkeeper. Other men saw a desperate phase of firm rivalry; he saw a struggle to the uttermost. Other men cheered a rescue: he thrilled over the magnificent gesture of the Gambler scattering his stake ...
— The Blazed Trail • Stewart Edward White

... the adjedatig, is set. This grave-board contains the symbolic or representative figure, which records, if it be a warrior, his totem, that is to say the symbol of his family, or surname, and such arithmetical or other devices as seem to denote how many times the deceased has been in war parties, and how many scalps he has taken from the enemy—two facts from which his reputation is essentially to be derived. It is seldom that more is attempted ...
— A Further Contribution to the Study of the Mortuary Customs of the North American Indians • H.C. Yarrow

... 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

... sinewy force of his extraordinarily nimble, as well as massive, mind; nor need I say more than one word about the remarkable combination of qualities so generally held and seen to be incompatible, which put into one personality a genius for dry arithmetical figures and a genius for enthusiasm and sympathy with all the oppressed. All these things have been said far better than I can say them, and I ...
— Expositions of Holy Scripture - Genesis, Exodus, Leviticus and Numbers • Alexander Maclaren

... ends of life. 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 symbolised real group-forming processes, or that they had to do with ...
— The Children: Some Educational Problems • Alexander Darroch

... are more laughable than that which describes the arithmetical process by which Mr. Baron Perrot arrived at the value of certain conflicting evidence. "Gentlemen of the jury," this judge is reported to have said, in summing up the evidence in a trial where the witnesses had sworn with noble tenacity of purpose, "there are fifteen witnesses who swear ...
— A Book About Lawyers • John Cordy Jeaffreson

... excursions used at times to swell out to ten or twelve—at times to contract to two or three; but what they gained in quantity they always lost in quality, and became mischievous with the addition of every new member, in greatly more than the arithmetical ratio. When most innocent, they consisted of only a brace of members—a warm-hearted, intelligent boy from the south of Scotland, who boarded with two elderly ladies of the place, and attended the subscription school; and the acknowledged ...
— My Schools and Schoolmasters - or The Story of my Education. • Hugh Miller

... 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 ...
— A Source Book Of Australian History • Compiled by Gwendolen H. Swinburne

... all this by his interpretation of the Book of Revelation; by labored calculations based upon arithmetical principles, and algebraic formulae until then unknown, but which appeared mystical and appalling from the fact that they were incomprehensible. The book was written in a style well calculated to perplex, astonish, ...
— Jack in the Forecastle • John Sherburne Sleeper

... 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 ...
— The Age of the Reformation • Preserved Smith

... losing of the game for each one lay in the strength of the "gang" aloft that could turn the applause to its favorite. On a Broadway first night a wooer of fame may win it from the ticket buyers over the heads of the cognoscenti. But not so at Creary's. The amateur's fate is arithmetical. The number of his supporting admirers present at his try-out decides it in advance. But how these outlying Friday nights put to a certain shame the Mondays, Tuesdays, Wednesdays, Thursdays, Saturdays, and matinees ...
— Rolling Stones • O. Henry

... human production can be. They consist of thirteen books. The first four are on plane geometry; the fifth is on the theory of proportion, and applies to magnitude in general; the seventh, eighth, and ninth are on arithmetic; the tenth on the arithmetical characteristics of the division of a straight line; the eleventh and twelfth on the elements of solid geometry; the thirteenth on the regular solids. These "Elements" soon became the universal study of geometers throughout the ...
— Beacon Lights of History, Volume III • John Lord

... of the ways of Income Tax Commissioners. These gentlemen acted on even vaguer principles than those on which they once assessed a poor dramatic amateur, who had by accident received L6 "author's rights" for a week, at L300 per annum, on the sound arithmetical argument that there are fifty (indeed, there are fifty-two) weeks in a year, and that fifty times six is three hundred. They put Mr Arnold's literary profits at L1000, and he had to expostulate in person before they would let him down to L200, though he pathetically explained that "he should ...
— Matthew Arnold • George Saintsbury

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

... to the arithmetical problem of yesterday's date, "Yes, if A starts with 87 horses, loses 2, and finds 1, he does end the journey with 110, for he collects 24 more at the last estancia. Only experts can do this; hence your correspondent's failure to find ...
— Argentina From A British Point Of View • Various

... 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 before ...
— Red Cap Tales - Stolen from the Treasure Chest of the Wizard of the North • Samuel Rutherford Crockett

... sound of goose-feet upon 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, as he ...
— David Elginbrod • George MacDonald

... were to be done in accordance with spoken commands. The subject had to attend carefully to what he was told to do, since he was given each command only once, and some of the commands called for rather complicated reactions. The second page consisted of arithmetical problems, ranging from very simple at the top of the page to more difficult ones below, though none of them went into the more technical parts of arithmetic. One page tested the subject's information on matters of common knowledge; and another ...
— Psychology - A Study Of Mental Life • Robert S. Woodworth

... according to his very imperfect lights, only things must have been left out, for balance they would not. Well, on the whole, he was glad, since a man filled with lover's hopes and fears was in no mood for arithmetical exercises, so, after hanging about for a while, he ...
— Lysbeth - A Tale Of The Dutch • H. Rider Haggard

... notions that had remained in the inner shrine of her soul for years, shrinking from the matter-of-fact eye of Fairfield; yet this big, ferocious looking Cousin Will seemed to find them both sane and interesting, and as her self-respect went up in the arithmetical, her admiration for Cousin Will went up in the geometrical ratio. He frankly admitted weaknesses and fears that the males of Fairfield ...
— Red Saunders • Henry Wallace Phillips

... 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 ...
— Scientific American Supplement, No. 421, January 26, 1884 • Various

... may be put one or two arithmetical puzzles. Here is a way to find out the number that a person has thought of. Tell him to think of any number, odd or even. (Let us suppose that he thinks of 7.) Then tell him to double it (14), add ...
— What Shall We Do Now?: Five Hundred Games and Pastimes • Dorothy Canfield Fisher

... 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 ...
— The Mirror of Literature, Amusement, and Instruction, Vol. 10, Issue 266, July 28, 1827 • Various

... something exceedingly remarkable in the unitive powers of music. In the first place, its present popularization cannot fail to multiply the relations of men with one another, as each separate instrument, like an arithmetical figure, has an absolute, as well as a relative value. It may not be sufficient in itself to produce harmony; but when placed in UNION with others, it gains a double or triple value, according to the part assigned it in a musical Whole. A single ...
— The Continental Monthly, Vol. 4, No. 5, November, 1863 • Various

... music great is the very thing which confuses these people; unfortunately, this cannot be expressed in words and concepts, nor in arithmetical figures. Yet, what is it other than music? and music only! What, then, can be the reason of this barrenness, dryness, coldness, this complete inability to feel the influence of true music, and, in its presence, to forget any ...
— On Conducting (Ueber das Dirigiren): - A Treatise on Style in the Execution of Classical Music • Richard Wagner (translated by Edward Dannreuther)

... of Population. In 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 ...
— Sociology and Modern Social Problems • Charles A. Ellwood

... 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

... 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

... "Liberals"—as we 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 good soul in a bonnet ...
— Famous Americans of Recent Times • James Parton

... geography, history and nature study. At the first thought one would say that a set of books such 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 must ...
— Journeys Through Bookland, Vol. 10 - The Guide • Charles Herbert Sylvester

... the spirit that collectively animates a group of men cannot be calculated by taking an arithmetical sum, it does depend on that possessed by each individual in the group, and more particularly on what is common to them all and on the nature of the bonds that connect them. Even a chance group of persons previously unconnected and unrelated is bound together by feelings ...
— A Librarian's Open Shelf • Arthur E. Bostwick

... this he was led to attempt the solution of the problem. His first process was purely mechanical, and he was so far convinced he had made the discovery that he took to educating himself, and became an expert arithmetician, and then found that arithmetical results agreed with his mechanical experiments. He appears to have eked out a bare existence for many years by teaching arithmetic, all the time struggling to get a hearing from some of the learned societies, but without success. In the year 1855 he found his way to Paris, where, as if by ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan

... survived in England or in Normandy, we must reckon hundreds of peasants. Since the generation which followed William to England in 1066, we can reckon twenty-eight or thirty from father to son, and, if you care to figure up the sum, you will find that you had about two hundred and fifty million arithmetical ancestors living in the middle of the eleventh century. The whole population of England and northern France may then have numbered five million, but if it were fifty it would not much affect the certainty that, ...
— Mont-Saint-Michel and Chartres • Henry Adams

... as this 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 or ...
— After Waterloo: Reminiscences of European Travel 1815-1819 • Major W. E Frye

... thanks." Marked traits in him as a small boy were truthfulness, generosity and sensitiveness. In a varied experience of the world I have never met anyone in whom love of truth was more deeply ingrained. On one occasion in his twelfth year, when he was wrestling with an arithmetical problem—the only branch of learning that ever gave him trouble was mathematics—and I offered to help in its solution, he rejected my proffered aid with the indignant remark: "Dad, how could I hand this ...
— War Letters of a Public-School Boy • Henry Paul Mainwaring Jones

... progress the more we tend to progress. We advance not in arithmetical but in geometrical progression. We draw compound interest on the whole capital of knowledge and virtue which has been accumulated since the dawning of time. Some eighty thousand years are supposed to ...
— The Stark Munro Letters • J. Stark Munro

... 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

... 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 in fractions. ...
— Ontario Teachers' Manuals: Nature Study • Ontario Ministry of Education

... hundred thousand men. He implies that monotheism was unknown before Abraham, and that the name Jehovah was not known to Abraham, Isaac, or Jacob. He cannot tell how the Israelites were supported in their journeyings; and ascribes the priesthood to an Egyptian origin. If we only admit the above arithmetical errors, and give up the Mosaic authorship of the Pentateuch, he thinks we should remove at one stroke some of the main difficulties of ...
— History of Rationalism Embracing a Survey of the Present State of Protestant Theology • John F. Hurst

... 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 middle ages; as 'alcohol', 'alembic', ...
— English Past and Present • Richard Chenevix Trench

... thousand 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 ...
— White Jacket - or, the World on a Man-of-War • Herman Melville

... 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 ...
— Things To Make • Archibald Williams

... only variable quantity in the above formula is the "True" semi-diameter of the moon at the time, we may add the Constant logarithm 2.889214 to the arithmetical complement of the logarithm of the true semi-diameter, and we have in two lines the log. cosine of ...
— Outlines of a Mechanical Theory of Storms - Containing the True Law of Lunar Influence • T. Bassnett

... that 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 is concerned, four ...
— The Miscellaneous Writings and Speeches of Lord Macaulay, Vol. 2 (of 4) - Contributions To The Edinburgh Review • Thomas Babington Macaulay

... city and the temple suddenly meet his view, as he reaches the height, and he is deeply moved. Any reflective mind might well have been stirred by the thought of the masses of men gathered there. Nothing is so futile as an arithmetical numbering of people, for after a certain point figures paralyse the imagination, and after that they tell the mind little or nothing. But here was actually assembled the Jewish people, coming in swarms from all the world, for ...
— The Jesus of History • T. R. Glover

... arithmetical operations, on the same sum of money expressed in this form, and expressed in the pound sterling and ...
— Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson - Volume I • Thomas Jefferson

... only kept his eyes open, but excelled in the art of putting two and two together, an arithmetical calculation which, as applied to the affairs of life, is not so readily arrived at as ...
— The Postmaster's Daughter • Louis Tracy

... made by pedantic teachers is to demand too much Form; to insist that a piece of music shall be a model of arithmetical adjustment. This is probably a graver error than apparent formlessness. Design and logic and unity there must surely be; but any obtrusive evidence of mathematical calculation must degrade music to the level of a ...
— Lessons in Music Form - A Manual of Analysis of All the Structural Factors and - Designs Employed in Musical Composition • Percy Goetschius

... the churches of England and of Scotland, which claimed the right to the lands reserved, and compare with this the number of all other Protestant bodies that claimed to share in them; for this difference in numbers was one of the chief causes of bitterness. An arithmetical appeal is concrete. There was also the economic aspect. The Clergy Reserves were one seventh of the land in each township. Another seventh was withheld from free settlement as Crown Lands. Now in some townships there were about 50,000 acres. Let the class find out how ...
— Ontario Teachers' Manuals: History • Ontario Ministry of Education

... affairs of life, the arithmetical part of the business is the dominant one. How many and how much have we? How many and how much do we want? How constantly does noble Arithmetic of the finite lose itself in base Avarice of the Infinite, and in blind imagination of it! In counting of minutes, is our arithmetic ...
— Mornings in Florence • John Ruskin

... thinking that the interviews would be unpleasant. They increased in unpleasantness in arithmetical progression, until they culminated finally in a terrific encounter with the ...
— A Prefect's Uncle • P. G. Wodehouse

... the blades should be longer and narrower, and the inlet openings smaller. The case is to be made in the form of an arithmetical spiral widening, the space between the case and the blades radially from the origin to the opening for discharge, and the upper edge of the opening should be level with the lower side of the sweep of the fan blade, somewhat ...
— Scientific American Supplement No. 360, November 25, 1882 • Various

... have had has been obliterated by two unfortunate incidents. His sinking-fund scheme was taken up by the younger Pitt, and proved, though the latter believed in it to the last, to be founded upon an arithmetical fallacy which did not sit well upon a fellow of the Royal Society. His sermon on the French Revolution provoked the Reflections of Burke; and, though much of the right was on the side of Price, it can hardly be said that he survived Burke's onslaught. Yet ...
— Political Thought in England from Locke to Bentham • Harold J. Laski

... high, giving a pressure of 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

... a service which can be rendered only without money and without price. Spiritual service, be it of priest or teacher, was not to be repaid in gold or silver, not because it was valueless but because it was invaluable. Here the non-arithmetical honor-instinct of Bushido taught a truer lesson than modern Political Economy; for wages and salaries can be paid only for services whose results are definite, tangible, and measurable, whereas the best service done in education,—namely, in soul development (and this includes the services ...
— Bushido, the Soul of Japan • Inazo Nitobe

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

... arithmetical victory over a too-sordid presentation of the parental claim was a final one, she ...
— The Forerunner, Volume 1 (1909-1910) • Charlotte Perkins Gilman

... a parenthetical section to expand and render rather more concrete this idea of the species as one divaricating flow of blood, by an appeal to its arithmetical aspect. I do not know if it has ever occurred to the reader to compute the number of his living ancestors at some definite date, at, let us say, the year one of the Christian era. Everyone has two parents and four grandparents, most people have eight great-grandparents, ...
— First and Last Things • H. G. Wells

... about on 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 these evidences of innovation with wonder and more or less ...
— The Brown Mouse • Herbert Quick

... In combined arithmetical numbers, one adjective often relates to an other, and the whole phrase, to a subsequent noun; as, "One thousand four hundred and fifty-six men."—"Six dollars and eighty-seven and a half cents for every five days' service."—"In the one ...
— The Grammar of English Grammars • Goold Brown

... person with an arithmetical turn of mind will take the trouble to calculate what a sum of money it would cost a young man to indulge freely in all the above propensities which we have said Mr. Pen possessed, it will be seen that a young fellow, with such liberal tastes ...
— The History of Pendennis • William Makepeace Thackeray



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