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Arithmetical

adjective
1.
Relating to or involving arithmetic.  Synonym: arithmetic.






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"Arithmetical" Quotes from Famous Books



... showed that information communicated to a subject in the hypnotic trance could be subsequently reproduced through the handwriting, whilst the attention of the subject was fully employed in conversing or reading aloud; or an arithmetical problem which had been set during the trance could be worked out under similar conditions without the apparent consciousness ...
— Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 1 - "Austria, Lower" to "Bacon" • Various

... This cold moralist, who despised the emotional aspects of human nature and found no place for the affections in his scheme of the virtues, lapsed into passion when he attacked the National Debt, and developed an arithmetical enthusiasm when he explained his plan for providing through voluntary insurance for the old age of the worthy poor. He was not quite the first of the philosophers to dream of the abolition of war, and to plan an international ...
— Shelley, Godwin and Their Circle • H. N. Brailsford

... 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. ...
— Short Studies on Great Subjects • James Anthony Froude

... 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 aid to make ...
— Guy Mannering • Sir Walter Scott

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

... experiments in Artesian wells, it has been shown that the heat increases on an average about 1 degree for every 54.5 feet. If this increase can be reduced p 174 to arithmetical relations, it will follow, as I have already observed,* that a stratum of granite would be in a state of fusion at a depth of nearly twenty-one geographical miles, or between four and five times the elevation of the highest ...
— COSMOS: A Sketch of the Physical Description of the Universe, Vol. 1 • Alexander von Humboldt

... materials furnished by the sense of touch, the muscular sense and general sensibility, before she had learned a sort of finger-language. But she had learned to speak somewhat before she became dumb and blind. Children with sight, born deaf, seem not to be able to perform the simplest arithmetical operations, e. g., 214-96 and 908 X 70 (according to Asch, 1865), until after several years of continuous instruction in articulate speaking. They do succeed, however, and that without sound-images of ...
— The Mind of the Child, Part II • W. Preyer

... 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 or taken away would spoil it. Now, virtue, ...
— Moral Science; A Compendium of Ethics • Alexander Bain

... based on the theory of the arithmetical rhythm of time, contains much of the same fascination that attaches to the tales of Poe. Simply told, yet dramatic and powerful in its unique conception, it has a convincing ring that is most impressive. The reader can not evade a haunting ...
— The Strollers • Frederic S. Isham

... was apparent; nor could he make sense out of any combination of letters. He knew that there were certain codes whereby the two progressions, arithmetical and geometric were employed in their composition, but this seemingly answered to none of them. He went over the list again, comparing them with the marked letters as found in the note. Yes, they were identical. ...
— The Loyalist - A Story of the American Revolution • James Francis Barrett

... 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

... the most part rectangular, also to take the elevation of land by means of two laths and a square. In this department also they explained the art of writing numbers no less involved in hieroglyphic or demotic characters. But pure arithmetical problems formed a higher course, and were solved by means ...
— The Pharaoh and the Priest - An Historical Novel of Ancient Egypt • Boleslaw Prus

... Fourth streets, refusing to be separated by arithmetical arrangements, meet at an unexpected point as if to shake hands, and Waverly Place sticks its head in where some other street ought to be, for all the world like a village busybody who has to see what is ...
— Greenwich Village • Anna Alice Chapin

... background and the gratification of certain desires. It is probable that some of the extraordinary things horses and dogs have been known to do in the way of stamping a certain number of times in supposed indication of an answer to an arithmetical question (in the case of horses), or of the name of an object drawn (in the case of dogs), are dependent on clever associations established by the teacher between minute signs and a number of stampings. What is certain is that mammals have in varying degrees a ...
— The Outline of Science, Vol. 1 (of 4) - A Plain Story Simply Told • J. Arthur Thomson

... impulsive nature of Janetta; and chess-men to her were dolls, without even the merit of encouraging the needle. Therefore, with a deep sigh, the worthy magistrate put away his board—which came out again next day—and did his best to endure for a night the arithmetical torture of cribbage; while he found himself supported by a sense of duty, and capable of preaching hard at Carroway if he would only ...
— Mary Anerley • R. D. Blackmore

... 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 nineteenth century. But ...
— The Victorian Age in Literature • G. K. Chesterton

... 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

... the closing sentence 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

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

... He shall not sleep, as he would not let me sleep. 'My lord,' said I, 'let me now question thee.' 'I am sleepy,' said he, 'but ask on.' 'What subject shall I choose?' I said. 'Any subject,' he replied; 'of all knowledge I know the half.'" Joseph asks him astronomical, musical, logical, arithmetical questions; to all of which Enan replies, "I do not know." "But," protests Joseph, "how couldst thou assert that thou knewest half of every subject, when it is clear thou knowest nothing?" "Exactly," says Enan, "for Aristotle says, 'He ...
— The Book of Delight and Other Papers • Israel Abrahams

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

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

... garden was rather striking. He laid out each bed in the shape of an arithmetical figure. The pansy beds were in figure eights, the nasturtiums were pruned and ordered into stubby figure ones, while the asters and fall flowers ...
— Bambi • Marjorie Benton Cooke

... 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 inevitably bow to ...
— Spontaneous Activity in Education • Maria Montessori

... the people. In semi-civilized states small stones have been used, and the etymologists derive the words calculate and calculations from calculus, the Latin term for a pebble-stone, and by which they denominated their counters used for arithmetical computations. ...
— Curiosities of Literature, Vol. 1 (of 3) • Isaac D'Israeli

... 6 Oxygen 49 —- 100 I give you the calculation in round numbers, so as not to burden your memory with fractions; and I will do the same with the other sums I shall have to go through to-day, this being, let me tell you, an arithmetical day. Besides, I could scarcely take upon myself to warrant the absolute correctness of those very precise fractions people sometimes go into. Even our learned friends squabble now and then as to which is right or wrong over the 100th part of a grain, more ...
— The History of a Mouthful of Bread - And its effect on the organization of men and animals • Jean Mace

... 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 at pursuing ...
— Reprinted Pieces • Charles Dickens

... the art of prediction is more deeply seated than we are commonly aware of. There is a chance, however difficult it may be in all cases to reduce it to arithmetical precision, that any possible event may happen to a particular person. No possible event can indeed be conceived, that, with regard to a particular person, is not within the range of arithmetical probability; while all ...
— A Morning's Walk from London to Kew • Richard Phillips

... 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 very good practice for a studious, persevering, conscientious ...
— From Farm House to the White House • William M. Thayer

... le rapport de la circonference au diametre.'[43] From this he was led to attempt the solution of the problem. His first process was purely mechanical, and he was so far convinced he had made the discovery that he took to educating himself, and became an expert arithmetician, and then found that arithmetical results agreed with his mechanical experiments. He appears to have eked out a bare existence for many years by teaching arithmetic, all the time struggling to get a hearing from some of the learned societies, but without success. In the year ...
— A Budget of Paradoxes, Volume I (of II) • Augustus De Morgan

... because they increased in value from right to left, an argument that would apply quite as well to the Roman and Greek systems, or to any other. It was, indeed, to the general idea of notation that many of these writers referred, as is evident from the words of England's earliest arithmetical textbook-maker, Robert Recorde (c. 1542): "In that thinge all men do agree, that the Chaldays, whiche fyrste inuented thys arte, did set these figures as thei set all their letters. for they wryte backwarde as you tearme ...
— The Hindu-Arabic Numerals • David Eugene Smith

... 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; Julia joins me in affectionate remembrances to you ...
— Eugene Field, A Study In Heredity And Contradictions - Vol. I • Slason Thompson

... '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

... observed that an interesting relation exists between the atomic weights of chemically similar elements. To illustrate, lithium, sodium, and potassium resemble each other very closely, and the atomic weight of sodium is almost exactly an arithmetical mean between those of the other two: (7.03 39.15)/2 23.09. In many chemical and physical properties sodium is midway between the ...
— An Elementary Study of Chemistry • William McPherson

... He made merry with him, declaring that no medical man could possibly have a disinterested opinion on the subject. Then he brought out all that he vaguely knew of Malthusianism, the geometrical increase of births, and the arithmetical increase of food-substances, the earth becoming so populous as to be reduced to a state of famine within two centuries. It was the poor's own fault, said he, if they led a life of starvation; they had only to limit themselves to as many children as they could ...
— Fruitfulness - Fecondite • Emile Zola

... 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

... 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 ...
— Our Fathers Have Told Us - Part I. The Bible of Amiens • John Ruskin

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

... psychologist, was Truman Henry Safford. In early childhood he had excited attention by his precocity as what is now sometimes called a "lightning calculator." A committee of the American Academy of Arts and Science was appointed to examine him. It very justly and wisely reported that his arithmetical powers were not in themselves equal to those of some others on record, especially Zerah Colburn, but that they seemed to be the outcome of a remarkable development of the reasoning power. When nine years old, he computed almanacs, and some of his work at this age is still preserved ...
— The Reminiscences of an Astronomer • Simon Newcomb

... typewriting machine, and in another a sewing machine. Parts of an old telephone were scattered 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 ...
— The Brown Mouse • Herbert Quick

... one evening at Richmond, Barnum tried to pay Turner for that practical joke about the Rev. Mr. Avery. A score of the company were telling stories and singing songs in the sitting room of the hotel. Presently somebody began propounding some amusing arithmetical problems. Then Turner proposed one, which was readily solved. Barnum's turn came next, and he offered the following, ...
— A Unique Story of a Marvellous Career. Life of Hon. Phineas T. • Joel Benton

... Baron de Nucingen informed Wilhelmine Adolphus that she had barely four hundred thousand francs deposited with him. The daughter of Adolphus of Manheim, thus reduced to an income of twenty-four thousand livres, lost herself in arithmetical exercises ...
— The Firm of Nucingen • Honore de Balzac

... money, grown restless, has absurd delusions, etc. In order to ascertain the capacity of the mind, questions should be asked with regard to age, birthplace, profession, number of family, and common events, such as the day of week, month, and year. The power of performing simple arithmetical operations may be tested. It may be necessary to pay more than one visit. The examiner should be careful to ask questions adapted to the station of life of the supposed lunatic; a man is not necessarily mad because he cannot perform simple ...
— Aids to Forensic Medicine and Toxicology • W. G. Aitchison Robertson

... conclusions inferred with rather too much certainty or universality; the variation at each step may be unobserved, and yet at last the divergence becomes considerable. Hence the failure of attempts to apply arithmetical or algebraic formulae to logic. The imperfection, or rather the higher and more elastic nature of language, does not allow words to have the precision of numbers or of symbols. And this quality in language impairs the force of an ...
— The Republic • Plato

... suppressed it is unable to do this. Personally, in the latter event, I find the greatest difficulty in concentrating my thoughts, and mental effort becomes painful. Other women have complained to me of the same difficulty. I have tried mechanical mental work, such as solving arithmetical or algebraic problems, but it does no good; in fact, it seems only to increase the excitement. (I may remark here that my feelings are always very strong not only before and after the monthly period, but also during the ...
— Studies in the Psychology of Sex, Volume 3 (of 6) • Havelock Ellis

... the answer thus forced upon us is one which, even on such high authority, we are bound to accept. Before, at least, concurring in a solution of the question which, thus virtually bringing it within the limits of a simple arithmetical calculation, would summarily dispose of so many millions of the human race, we may remember that some things have been taught as possible which men, and even saints, may deem impossible; and, before attempting to reduce "goodwill toward men" ...
— Diary of a Pedestrian in Cashmere and Thibet • by William Henry Knight

... that of a direct arithmetical progression in the relation of wage and work such as would require every difference in quantity of food, etc., consumed by labourers to be reflected in an exactly correspondent difference of output of productive energy—an ...
— The Evolution of Modern Capitalism - A Study of Machine Production • John Atkinson Hobson

... from zero to 2, and [theta] is the inclination of the mirror. In the perspective view, Fig. 1, the curved edge cuts the scale at 1. The instrument being thus set, the following elements may be read either directly on the scales or by simple arithmetical calculation: ...
— Scientific American Supplement, No. 832, December 12, 1891 • Various

... gun-barrel cane raised ready for use upon any one who should arouse his ruffianly ire. Breaking ranks we returned to our places, and sat around in moody silence for three hours. We had eaten nothing since the previous noon. Rising hungry, our hunger seemed to increase in arithmetical ratio with every ...
— Andersonville, complete • John McElroy

... 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

... notwithstanding, he did not witness; Herr Weigel, I say, communicated to his friends a certain demonstration of the existence of God, which indeed amounted to this idea of continued creation. As he was wont to draw parallels between reckoning and reasoning—witness his Arithmetical Ethics (rechenschaftliche Sittenlehre)—he said that the foundation of the demonstration was this beginning of the Pythagorean Table, once one is one. These repeated unities were the moments of the existence of things, each one of them depending ...
— Theodicy - Essays on the Goodness of God, the Freedom of Man and the Origin of Evil • G. W. Leibniz

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

... the pre-eminent characteristic of the Paradise Lost. It is not an arithmetical sublime like Klopstock's, whose rule always is to treat what we might think large as contemptibly small. Klopstock mistakes bigness for greatness. There is a greatness arising from images of effort and daring, ...
— Literary Remains (1) • Coleridge

... indeed it is superfluous. A gentleman of two thousand a year, who meets another of the same fortune, fights with equal arms; but if to one of the candidates you add a thousand a-year in places for himself, and a power of giving away as much among others, one must, or there is no truth in arithmetical demonstration, ruin his adversary, if he is to meet him and to fight with him every third year. It will be said, I do not allow for the operation of character; but I do; and I know it will have its weight in most elections; perhaps it may be decisive in some. But there are few ...
— Selections from the Speeches and Writings of Edmund Burke. • Edmund Burke

... into five pieces of equal length. He was not told the length of the bar, but was given 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 ability ...
— Wage Earning and Education • R. R. Lutz

... original beat has been forgotten, they cease implicitly to be eccentric. Variety is what is sought; but if we destroy the original mould, one of the terms of this variety is lost, and we fall back on sameness. Thus, both as to the arithmetical measure of the verse, and the degree of regularity in scansion, we see the laws of prosody to have one common purpose: to keep alive the opposition of two schemes simultaneously followed; to keep them notably apart, though still coincident; and to ...
— The Works of Robert Louis Stevenson - Swanston Edition Vol. 16 (of 25) • Robert Louis Stevenson

... 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

... 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 ...
— The PG Edition of Chesterfield's Letters to His Son • The Earl of Chesterfield

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

... serves to assist the wise men in puzzling out the world's age, by computing how many centuries go to the petrifying a cart wheel. A violent roar of dashing waters at the bottom, and a fall of the river at this place from the height of 150 feet, were however by no means favourable to my arithmetical studies; and I returned perfectly disposed to think the world's age a less profitable, a less diverting ...
— Observations and Reflections Made in the Course of a Journey through France, Italy, and Germany, Vol. I • Hester Lynch Piozzi

... the action of a cause we at the same time reverse the effect. With the same apparatus we can commence by mechanical motion which will generate electricity, or we can commence with electricity which will generate mechanical motion; or to take a simple arithmetical instance: if 10/2 5, then 10/5 2; and therefore if we once recognize the power of thought to produce any results at all, we shall see that the law by which negative thought produces negative results is the same by which positive thought produces positive results. Therefore all our distrust ...
— The Edinburgh Lectures on Mental Science • Thomas Troward

... of those which are not inert in what order they arrange their action. The principium movendi, the central force which organizes and assigns its place in the system to all the other forces, these are quite undetermined by any mere arithmetical recitation of the agencies concerned. Often these primary principles can be deduced only tentatively, or by a regress to the steps, historically speaking, through which they have arisen. Sometimes, for instance, ...
— The Posthumous Works of Thomas De Quincey, Vol. II (2 vols) • Thomas De Quincey

... these verses are taken describes two arithmetical processes, the working out of one of which belongs to us, and of the other to our Father in heaven. The first is an addition sum: "Add to your faith virtue; and to virtue knowledge; and to knowledge temperance; and to temperance patience; and to patience godliness; and to ...
— Memoranda Sacra • J. Rendel Harris

... increase and division. Three was called the number of the whole because it had a beginning, middle, and end. Four, representing the square, is in the highest degree perfect; and Ten, as it contains the sum of the four prime numbers, comprehends all musical and arithmetical proportions, and denotes the ...
— Bulfinch's Mythology • Thomas Bulfinch

... Arithmetica,' a catalogue of arithmetical works which appeared prior to the year 1601, was printed, in a limited edition, at Boston (United States) in 1908. It is a sumptuously produced work in two large octavo volumes, copiously illustrated. Professor de Morgan's 'Arithmetical Books from the Invention of Printing to the Present Time' ...
— The Book-Hunter at Home • P. B. M. Allan

... with an unqualifiable air of not quite fighting the sham through, diving into old women's bags and going into paroxysms of arithmetic in white chalk, three or four of them (in full uniform) in full cry upon a single sum, with their brows bent and a kind of arithmetical agony upon their mugs. Madam, the diversion of cock-fighting has been much commended, but it was not a circumstance to that Custom House. They only opened one of our things: a basket. But when they met from within the intelligent ...
— The Works of Robert Louis Stevenson - Swanston Edition Vol. 23 (of 25) • Robert Louis Stevenson

... 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, the functions of lawyer, physician, schoolmaster, and divine, and ...
— A Voyage to the Moon • George Tucker

... time, the popular writers, who could not and would not abandon what they had found to delight their countrymen sincerely, and not merely from inquiries first put to the recollection of rules, and answered in the affirmative, as if it had been an arithmetical sum, did yet borrow from the scholars whatever they advantageously could, consistently with their own ...
— Literary Remains, Vol. 2 • Coleridge

... towards the ground, having apparently carried with it a manuscript volume of verse, which lay with its leaves crushed. In a corner sat Sandro, playing a game at mora by himself, and watching the slow reply of his left fingers to the arithmetical demands of his right ...
— Romola • George Eliot

... 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 ...
— Benjamin Franklin, A Picture of the Struggles of Our Infant Nation One Hundred Years Ago - American Pioneers and Patriots Series • John S. C. Abbott

... 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

... 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

... 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 laughed and ...
— The Vehement Flame • Margaret Wade Campbell Deland

... man the doctrine of the Holy Trinity is something of a puzzle—on the face of it an arithmetical paradox; suggestive, moreover, of the abstract subtleties of speculation rather than of the concrete realities of religious life. But the doctrine did not have its origin, as a matter of historical fact, in any perverse ...
— Religious Reality • A.E.J. Rawlinson

... princesses dressed in white velvet stamped with golden fleurs-de-lys —ladies with hearts of ice and lips of fire, who count their roubles by the million, their lovers by the score, and even their husbands, very often, in figures of some arithmetical importance. With these are the immaculate daughters of itinerant Italian musicians—maids whose souls are unsoiled amidst the contaminations of our streets, and whose acquaintance with the art of Phidias and Praxiteles, of ...
— Letters to Dead Authors • Andrew Lang

... reasoning. Indeed I doubt whether many of the pretentious sciolists, who insist so much on young children giving the rationale of everything, have themselves ever yet made an ultimate analysis of the first step in arithmetical notation. Many of them would open their eyes were you to tell them, for instance, that the number of fingers on your two hands may be just as correctly expressed by the figures 11, 12, 13, 14, or 15, as by the figures 10,—a truism perfectly familiar to every one acquainted with the generalizations ...
— In the School-Room - Chapters in the Philosophy of Education • John S. Hart

... these, for the time being, we keep 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 ...
— Santa Fe's Partner - Being Some Memorials of Events in a New-Mexican Track-end Town • Thomas A. Janvier

... the butcher hands a leg of mutton to the cook over the airey railings, the cook hands him back six and nine—or whatever it is—and takes his bill and receipt. I eat my dinners now, with the blessed conviction that they won't all disagree with me in an arithmetical point of view at the end of the year. What are you stopping and scratching your head for ...
— Hide and Seek • Wilkie Collins

... 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 British Association appointed to consider this question came, however, ...
— Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 - "Bulgaria" to "Calgary" • Various

... Borghese. 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 offered him an annuity of one hundred thousand livres—not ...
— Memoirs of the Court of St. Cloud, Complete - Being Secret Letters from a Gentleman at Paris to a Nobleman in London • Lewis Goldsmith

... than the other money-lenders. He made no difficulty, people said, to lend, and was apparently far from oppressive in fixing the terms of payment. But on the day of reckoning, it was observed, that by some extraordinary arithmetical calculation, he made the interest mount up to an enormous sum: such, at least, was the popular report. The strangest thing about him, however, and which struck every body, was the fatality that seemed to attach to his loans; all who borrowed of him finished ...
— Blackwood's Edinburgh Magazine - Volume 62, No. 384, October 1847 • Various

... all, a certain justice in the query. A novelist may also write a play or a sociological treatise: he remains a novelist and we know him for what he is. What, then, is Mr. Belloc? If we examine his works by a severely arithmetical test, we shall find that the greater part of them is devoted to description of travel. You will find his greatest earnestness, perhaps his greatest usefulness, in his history: but his travel lies behind his history and informs it. It is the most important of the materials out of which his history ...
— Hilaire Belloc - The Man and His Work • C. Creighton Mandell

... so unostentatiously that he had had no idea of the magnitude of his savings. The little wife, who had never known what it was to spend sixpence carelessly in all her thirty-five years, grew quite hysterical with excitement when an arithmetical calculation proved to her the daily riches at her disposal; but she recovered her composure with wonderful celerity, and expressed her intention of enjoying the goods which the gods had sent her. No poking in gloomy town houses after this! ...
— Tom and Some Other Girls - A Public School Story • Mrs. George de Horne Vaizey

... Van Brick, as he dressed himself, 'I have an arithmetical question to solve. If a Roman, by hard scratching, can earn twenty cents a day, and it costs him twenty-five cents for board and lodging, how long will it be before he saves up a dollar and a half to take a bath? But that intelligent maiden will tell me, I know.' ...
— The Continental Monthly, Vol. 2, No. 2, August, 1862 - Devoted to Literature and National Policy • Various

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

... Arithmetic was her despair. With algebraic formulae and Euclid's propositions her fine memory saved her. But with quick intuition she threw herself frankly upon the boy's generosity, and in the evenings together they, with Margaret's assistance, wrestled with the bewildering intricacies of arithmetical problems. Her open confession of helplessness, and her heroic attempts to overcome her defects, made irresistible appeal to the chivalrous heart of the little Highland gentleman. Thenceforth he was her champion for all ...
— The Doctor - A Tale Of The Rockies • Ralph Connor

... Excuse me. When he will smoke depends upon the precocity of his individual generation; and that increases in a direct ratio with time itself, in this country. Thus, to state the matter in an approximate inverse arithmetical progression, and dating the birth of "young America" about the year 1825,—previously to which reigned the dark ages of oldfogydom, so called,—we find as follows: —From 1825 to 1835, young gentlemen learned to smoke when from 25 to 20 years ...
— Atlantic Monthly Volume 6, No. 34, August, 1860 • Various

... Christian charity, and its light in Christian truth. The tendency of reform at the present day is too often to separate itself from religion; for religion cannot work fast enough to satisfy its haste; cannot, at the end of each year, count the steps it has advanced in arithmetical numbers. The reformer asks not always for general growth and advancement in Christian Character; but demands special evidences, startling results, tangible proofs. These things all have their value, and the persons who strive ...
— The Elements of Character • Mary G. Chandler

... ounces divided by two samples than in the case of the two dumps. If common sense were not sufficient demonstration of this, it can be shown algebraically. Were samples equidistant from each other, and were they of equal width, the average value would be the simple arithmetical mean of the assays. But this is seldom the case. The number of instances, not only in practice but also in technical literature, where the fundamental distinction between an arithmetical and a geometrical mean is lost sight of ...
— Principles of Mining - Valuation, Organization and Administration • Herbert C. Hoover

... but which should take into consideration what appeared to be the necessities of the State, and, secondly, a contrivance for calling the members of the State together, for taking the votes, and for performing the arithmetical operations of reckoning and comparing the number of votes for the different propositions, and thereby deciding upon them. The State is an abstraction, having even its generic existence in its citizens; but it is an actuality, and its simply generic ...
— The German Classics of The Nineteenth and Twentieth Centuries, Vol. VII. • Various

... the question 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, ...
— A Joy For Ever - (And Its Price in the Market) • John Ruskin

... 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 ...
— Initiation into Philosophy • Emile Faguet

... genius to do all these in one, his books, we may almost say, ought to go first through the magazines. If he wants them to do so, then it will be a godsend to himself as well as to the editors if he will lay his plans, as far as they have any arithmetical character (and they can have much), according to the magazines' mechanical exigencies. He should know just how much of any magazine page his own typewritten pages will occupy; how many of its own pages that magazine ...
— The Building of a Book • Various

... 'proceed in the small chink-lighted, or even oil-lighted, underground workshop of Logic alone; and man's mind become an Arithmetical Mill, whereof Memory is the Hopper, and mere Tables of Sines and Tangents, Codification, and Treatises of what you call Political Economy, are the Meal? And what is that Science, which the scientific head alone, were it screwed off, and (like the Doctor's in the Arabian Tale) set in a basin ...
— Sartor Resartus, and On Heroes, Hero-Worship, and the Heroic in History • Thomas Carlyle

... Many, indeed most persons who are familiar with figures, might compute these numbers while reading, and without the slightest pause; but it certainly requires some practice. And the most important use of arithmetical studies (except as a discipline to the mind) is to enable us to reckon without slates and pencils. He has but a miserable knowledge of arithmetic, who is no arithmetician without a pen or pencil in his hand. These are but the ladders upon ...
— The Young Man's Guide • William A. Alcott

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

... production of food supply for their support. Scientifically phrased, his statement was that "the rate of increase in humanity is in geometrical ratio, while the rate of increase of possible food supply is in arithmetical ratio." And from this basis, he reasoned that, unless the surplus of human production was in some way cut off and destroyed, the whole human race would ultimately demand more food supply than could possibly be produced; and so, in due course of time, the ...
— Sane Sex Life and Sane Sex Living • H.W. Long

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

... do, then," 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 • Susan Warner

... baskets, circulars, instructions and dispatches daily accumulate, 'treading on each other's heels.' The volume contains one hundred and forty emanations from the pen of Secretary Seward. How many more there exist is only known to the Cabinet or the exigencies of secret service. Is not the bare arithmetical announcement sufficient to satisfy the inquirer into Mr. Seward's diplomatic assiduity? If not, will he please to remember as well Mr. Seward's perusals of foreign mails, cabinet meetings, consultation ...
— Continental Monthly, Vol. I. February, 1862, No. II. - Devoted To Literature And National Policy • Various

... arithmetic; and, like hydrophobic Peter of Russia making himself a sailor, become an Accountant for my sake. But now will you forgive me if I never do verify this same account, or look at it more in this world except as a memento of affection, its arithmetical ciphers so many hierograms, really sacred to me! A reflection I cannot but make is that at bottom this money was all yours; not a penny of it belonged to me by any law except that of helpful Friendship. I feel as if I could not examine it without a kind of crime. For the rest, you may ...
— The Correspondence of Thomas Carlyle and Ralph Waldo Emerson, - 1834-1872, Vol. I • Thomas Carlyle and Ralph Waldo Emerson

... 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 ...
— Journeys Through Bookland, Vol. 10 - The Guide • Charles Herbert Sylvester

... He said that he had endeavored to determine what a neutral meridian is. On what principle shall the Conference fix upon a neutral meridian, and what is a neutral meridian? Shall it be historical, geographical, scientific, or arithmetical? In what way shall it be fixed upon? He looked back a little into the history of an important system adopted some years ago. France determined to give us a neutral system of weights and measures, and the world now thanks her for it. She determined that the base of this neutral system ...
— International Conference Held at Washington for the Purpose of Fixing a Prime Meridian and a Universal Day. October, 1884. • Various

... of the world must have noticed the mystic power they attach to certain numbers, and how these numbers became the measures and formative quantities, as it were, of traditions and ceremonies, and had a symbolical meaning nowise connected with their arithmetical value. For instance, in many eastern religions, that of the Jews among the rest, seven was the most sacred number, and after it, four and three. The most cursory reader must have observed in how many connections the seven is used in the Hebrew Scriptures, occurring, in all, something ...
— The Myths of the New World - A Treatise on the Symbolism and Mythology of the Red Race of America • Daniel G. Brinton

... 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

... her room she found Copernicus leaning over the table, one hand buried in his hair and the other wielding a pencil. He was absorbed in arithmetical calculations. ...
— The Panchronicon • Harold Steele Mackaye

... based on a physical principle universally applicable. Although the volume increases with the temperature, it does not increase in proportion to the degrees of any ordinary scale, but much more slowly. Now, if to each of the terms of an arithmetical series we add the same number, the new series so formed increases or decreases more slowly than the original; and it was discovered that, by adding 461 to the degrees of Fahrenheit's scale, the new scale so formed represented exactly the increment of volume caused by increase ...
— Scientific American Supplement, No. 508, September 26, 1885 • Various

... more than music—and he adored music. He was fond of comparing the two, and often quoted Leibnitz: "Music is an occult exercise of the mind unconsciously performing arithmetical calculations." For him, so he assured his friends, music was a species of sensual mathematics. Before he left St. Petersburg to settle in Balak as its Kapellmeister he had studied at the University under the famous Lobatchewsky, and absorbed from him not a few of the radical theories containing ...
— Melomaniacs • James Huneker

... 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.

... mentioned in the public papers that a copy of the first edition of Cocker's Arithmetic (considered unique) was lately sold at an exceedingly high price by Messrs. Puttick and Simpson, I am induced to send you a {410} copy of the title-page of an arithmetical work in my possession which seems a curiosity in its way; but whether unique or not, my slender bibliographical knowledge does not enable me to ...
— Notes and Queries, Number 82, May 24, 1851 • Various

... large family was a benefactor to his country," Malthus argued conclusively that "a perfectly happy and virtuous community, by physical law, is constrained to increase very rapidly.... By nature human food increases in a slow arithmetical ratio; man himself increases in a quick geometrical ratio, unless want and vice stop him." In his second edition (1803), besides the positive check of vice and want, he gave more importance to the negative check of "self-restraint, moral and prudential." The whole theory ...
— Principles Of Political Economy • John Stuart Mill

... 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 ...
— The Moral Economy • Ralph Barton Perry

... answer 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

... a false prophet. But I think Mrs. Work will find her arithmetical powers taxed in New York as they never were in Wheathedge, and I shall be more pleased than I can tell if in five years Mr. Work does not retire from his post a disappointed man, or find that he has purchased success at the price of his health, if ...
— Laicus - The experiences of a Layman in a Country Parish • Lyman Abbott

... women of this actual England. We are 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 ...
— Past and Present - Thomas Carlyle's Collected Works, Vol. XIII. • Thomas Carlyle



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