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单词 arithmetical
例句 arithmetical
A series of arithmetical calculations was interspersed by blocks of text. Atonement 2001-09-20T00:00:00Z
Their model of the universe involved the "celestial spheres" creating a kind of harmony as they moved in circles dictated by the same arithmetical relationships as musical harmonies. Understanding Basic Music Theory 2018-01-28T00:00:00Z
It was clear enough—one person waiting for another was like an arithmetical sum, and just as empty of emotion. Atonement 2001-09-20T00:00:00Z
Babylonian astronomy displayed an arithmetical refinement that, in some ways, complemented the mostly geometrical approach of the Greeks. Circumference 2008-11-25T00:00:00Z
The arithmetical problems raised, for instance, by such a statement as “two and two make five” were beyond his intellectual grasp. 1984 1949-06-08T00:00:00Z
Colonel Cathcart lived by his wits in an unstable, arithmetical world of black eyes and feathers in his cap, of overwhelming imaginary triumphs and catastrophic imaginary defeats. Catch-22 1961-11-10T00:00:00Z
As John Aubrey put it more than a century later, Recorde ‘was the first that wrote a good arithmetical treatise in English’ and ‘the first that ever wrote of astronomie in the English tongue’. The Scientists 2003-10-21T00:00:00Z
The only purity the charts can claim is arithmetical: positions are dictated by sales. Thatcher Ding Dong! chart campaign is puerile – but the best protest available 2013-04-11T11:46:33Z
Determined by arithmetical rules that require much patience to discern, the numbers sequentially fill in areas of each graph, creating, in effect, pointillist compositions of geometric forms. ‘Charles Gaines: Gridwork,’ at Studio Museum in Harlem 2014-07-31T04:00:00Z
Instead of replicating Polykleitos’ arithmetical perfection and Phidias’ impersonal muscularity, Rodin presents a nervous, boyish figure. ‘Rodin and the Art of Ancient Greece’ Review: Recasting History 2018-04-28T04:00:00Z
Basically, people like it – they liked the shillings, pennies and farthings too, but they were abolished in the interests of reducing the nation's arithmetical agility. David Mitchell on new World Heritage sites 2011-03-27T00:05:36Z
I can offer some arithmetical guidance for the tiny undecided minority, at least: The over-under for making sense of "Deathly Hallows" is five. "Harry Potter and the Deathly Hallows: Part 1": Harry Potter goes dark 2010-11-18T02:01:00Z
This boxy confection of bone-colored plastic would, on payment of about $400, perform any simple arithmetical task you might ask of it. Opinion | What might ChatGPT do for humanity? The ancient Greeks offer a clue. 2023-04-28T04:00:00Z
However, a single day includes many parts, and may seem more than the mere arithmetical sum of all of them. Winter’s final Saturday showed traces of cold weather 2023-03-18T04:00:00Z
In 1798, English economist Thomas Robert Malthus anonymously published his infamous treatise "An Essay on the Principle of Population," arguing "Population, when unchecked, increases in a geometrical ratio, Subsistence, increases only in an arithmetical ratio." The population has reached 8 billion — but experts aren't worried about overpopulation. Here's why 2022-11-15T05:00:00Z
Perhaps many will endow it with some meaning, some personal significance beyond mere adherence to arithmetical law. That’s our 13th full moon of 2020 shining up there as the year ends 2020-12-29T05:00:00Z
When lawmakers learned that states lacked the technology to calculate benefits precisely enough to replace each individual’s pay dollar for dollar, however, they adopted the $600 supplement instead as a rough arithmetical substitute. Opinion | Congress needs a fix for the unintended consequences of its unemployment relief 2020-05-26T04:00:00Z
With arithmetical parity has come a more interesting competition, especially in the 21st century. Walker Cup 2019: Players are anxious to finally get started after long buildup at Royal Liverpool - Golf Digest 2019-09-06T04:00:00Z
Algebra is the branch of maths where symbols, rather than numbers, are used in arithmetical operations. What's the right age to quit maths? 2019-06-11T04:00:00Z
Clearly, Trump believes that he holds the whip hand, and in arithmetical terms he is right. Don’t Underestimate the Danger of Trump’s Trade War with China 2018-09-19T04:00:00Z
“They’re jumping through all kinds of arithmetical hoops to get the numbers they really want.” Trump’s August Assault on Climate Policy 2018-08-21T04:00:00Z
In Russia, applicants can get loans based on answers to “psychometric” surveys that evaluate their verbal and arithmetical skills. Why traditional credit scores still matter 2018-07-16T04:00:00Z
High birth rates also have an arithmetical effect on global averages measuring development. Great strides have been made against disease and poverty 2017-09-14T04:00:00Z
The others, which involved adding up as many sets of five two-digit numbers as possible within five minutes, simply required mental arithmetical skills to be applied accurately. Testosterone makes men more impulsive 2017-08-17T04:00:00Z
By contrast, Labour’s campaign slogan is abstractly arithmetical. 'Strong and stable leadership!' Could Theresa May's rhetorical carpet-bombing backfire? 2017-05-10T04:00:00Z
Just so you are not left out the fun, today’s puzzle is to fill the blanks in the following equation, so that it makes arithmetical sense: Can you solve it? New Year, new number, new equation 2017-01-02T05:00:00Z
In ancient times, too, many arithmetical problems were designed to entertain. Use your wits! Can you solve these fiendishly difficult puzzles? 2016-11-09T05:00:00Z
Perhaps it was this offer which attracted the degree of SNP support which, by arithmetical definition, the winner required. Ken Macintosh chosen as Holyrood presiding officer - BBC News 2016-05-12T04:00:00Z
In my field, journalism, data reporting requires straightforward arithmetical reasoning, a bit of statistics, and occasionally knowledge of data access and cleaning. Let’s Fix Math Education By Redefining Math 2016-03-24T04:00:00Z
That statement was arithmetical common sense to tackle the nation’s long-term deficit and debt. Chris Van Hollen for U.S. Senate 2016-03-06T05:00:00Z
At times, he uses arithmetical sketches to illustrate this point. The Doomsday Invention 2015-11-23T05:00:00Z
This is solidarity in stark, arithmetical form—and for many it is too much. A walk down solidarity street 2015-06-11T04:00:00Z
Zero is indispensable for our familiar arithmetical operations, and it is half of the binary language of modern computers. ‘Finding Zero’: A Long Journey for Naught 2015-04-20T04:00:00Z
As for policy, proponents of a benefit boost warn of a looming “retirement crisis,” but the arithmetical support for this tends to be highly selective. How progressives are pandering to the elderly 2015-04-09T04:00:00Z
A range of reasons, all political rather than arithmetical or fundamentally economic. The north/south divide of UK politics 2015-01-07T05:00:00Z
The finding supports the idea, scientists said, that the mechanism’s eclipse prediction strategy was not based on Greek trigonometry, which did not exist at the time, but on Babylonian arithmetical methods borrowed by the Greeks. Solving the Riddles of an Early Astronomical Calculator 2014-11-24T05:00:00Z
She excelled at arithmetical problems as a child and in 1912 went on to study mathematics at Somerville College, Oxford, having to lip read through the interview. Been and gone: Lady who collected curious crisps 2014-09-03T04:00:00Z
Peano’s axioms can be expressed in the notation of symbolic logic, from which all basic arithmetical operations, such as multiplication, can be derived. Enigmatic foundations of maths put to music 2014-07-02T04:00:00Z
However, the withdrawal of the spare room subsidy has definitely gained an enhanced political salience, beyond its arithmetical and social impact. Doubt and reassurance 2014-02-04T15:23:14Z
Scaling--the ability to grow rapidly and at a compound rate, compared to the arithmetical, two-plus-two-equals-four rate of growth that non-scaling businesses achieve--requires new skills from the business' owners and managers. 3 Fundamental Shifts You Need To Make To Scale Your Business 2013-05-29T16:21:05Z
But the main factor is that the two measures use different arithmetical methods for calculating average prices. Inflation calculation move looms 2013-01-09T16:44:12Z
Researchers set lingual, arithmetical and physical tasks for 121 children, aged about nine, in Scotland and Sardinia, Italy. Study of how Gaelic affects brain 2012-12-20T10:04:01Z
The 33-year-old from east London has memorised pi to 22,514 decimal places, can perform lightning arithmetical calculations in his head, and once learned Icelandic in a week. Meet the superhumans 2012-11-18T00:04:00Z
In the late 1950s and 1960s, Mr Shapley came up with a number of "beautiful" solutions to various problems in game theory, including an algorithm - or arithmetical rule - for "pair-wise matching". A Nobel Prize for beauty – and truth 2012-10-15T15:27:53Z
But in fact, the main reason for the two indices rising at different rates is because they use different arithmetical methods for calculating average prices. New inflation measure proposed 2012-06-11T23:01:41Z
So he did, for he learned to read falteringly, to write a scrawling hand, and to solve a few arithmetical problems. Farm Boys and Girls 2012-04-21T02:00:21.733Z
If the mules were certain of their food it would be a mere arithmetical question—how many mules are required to convey food for 2500 men for forty days? March to Magdala 2012-04-19T02:00:32.620Z
He thinks it accomplishes perfectly the arithmetical feat of squaring the circle!—the height being to the circumference of the base, as the radius is to the circumference of a circle. From Egypt to Japan 2012-04-19T02:00:28.147Z
Many a long and involved arithmetical research he carried out, much apparatus he made in a homely way, and much he repaired and adjusted. Lord Kelvin An account of his scientific life and work 2012-04-06T02:00:32.097Z
Time and eternity, heaven and hell, peace and affliction, smiles and tears, life and death, are all lost sight of in the arithmetical liturgy of Mammon's worship. Recollections of Windsor Prison; Containing Sketches of its History and Discipline with Appropriate Strictures and Moral and Religious Reflection 2012-04-06T02:00:31.240Z
The quickness and precision with which he gave answers to arithmetical questions was amazing. Curiosities of Human Nature 2012-04-03T02:00:27.167Z
Not enough is known about their effect to enable us to decide whether or not the elementary school should include special facility with them as one of the arithmetical functions that it specially trains. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
A calculating table or frame; an instrument for performing arithmetical calculations by balls sliding on wires, or counters in grooves, the lowest line representing units, the second line, tens, etc. Webster's Unabridged Dictionary 2012-03-24T02:00:23.513Z
A mean proportion, medial sum or quantity, made out of unequal sums or quantities; an arithmetical mean. Webster's Unabridged Dictionary (2nd 100 Pages) 2012-03-24T02:00:19.387Z
The mathematical problems and tables are in simple arithmetical terms, and involve no algebra or higher mathematics. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z
It appears that when he came to maturity, these faculties did not improve; and after a time he was even less expert in arithmetical calculations than when he was ten years old. Curiosities of Human Nature 2012-04-03T02:00:27.167Z
First, the great majority of people in the great majority of their doings use only very elementary arithmetical processes. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
To perform the arithmetical operation of addition; as, he adds rapidly. Webster's Unabridged Dictionary 2012-03-24T02:00:23.513Z
The significance of single feelings of pain and pleasure for the welfare of society cannot be determined as if the problem were a simple arithmetical one. A Review of the Systems of Ethics Founded on the Theory of Evolution 2012-03-17T02:01:00.033Z
Making no pretence of arithmetical accuracy, it may certainly be said that all these suppositions are well within the truth. A System of Practical Medicine by American Authors, Vol. I Volume 1: Pathology and General Diseases 2012-03-17T02:00:54.097Z
His faculty for calculation seemed to increase, and as he became acquainted with arithmetical terms, his performances were still more remarkable. Curiosities of Human Nature 2012-04-03T02:00:27.167Z
Life's simpler arithmetical demands certainly do not include matters like the rules for finding cube root or true discount, which no sensible person uses. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
He published a collection of arithmetical, mathematical, and algebraical questions. Life and Character of Richard Carlile 2012-03-14T02:00:25.327Z
He rarely makes a speech that does not contain a good deal of bad rhetoric, and an equal amount of arithmetical calculations. Sketches of Reforms and Reformers, of Great Britain and Ireland 2012-03-12T03:00:20.310Z
For instance, if ten be too large and two be too small, if we take six, we take the mean relatively to the thing itself, or the arithmetical mean. The Five Great Philosophies of Life 2012-03-09T03:00:19.413Z
In its earliest form, his thesis was that population tends to increase in geometrical ratio, while the means of subsistence increase only in arithmetical ratio. Herbert Spencer 2012-02-29T03:00:20.773Z
When we have an adequate sociology of arithmetic, stating accurately just who should use each arithmetical ability and how often, we shall be able to define the task of the elementary school in this respect. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The needle was observed in eight positions, and as the readings accorded sufficiently well with each other, their arithmetical mean has been taken as the dip resulting from the observation. Narrative of the surveying voyages of His Majesty's ships Adventure and Beagle, between the years 1826 and 1836 Volume I. - Proceedings of the First Expedition, 1826-1830 2012-02-24T03:00:32.793Z
A simple arithmetical calculation then determines the number of organisms in a cubic foot, since the number is known for the 1080 cubic inches. Meteorology or Weather Explained 2012-02-20T03:00:18.847Z
The practice however tends to give the unguarded reader a wrong arithmetical impression, which there is a particular reason for avoiding in these pages as far as possible. The Cloister and the Hearth A Tale of the Middle Ages 2012-02-17T03:00:30.347Z
A wonderful thing: a most simple arithmetical calculation which every boy of seven years of age may do, but which I had never done. What Shall We Do? 2012-01-29T03:00:11.167Z
The second is,—"It is not desirable to eliminate any element of arithmetical training until you have something better to put in its place." The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
To effect this, connect together a series of numbers increasing by arithmetical progression with a series increasing by multiplication or by mathematical progression. Sir Thomas Urquhart of Cromartie, Knight 2012-01-19T03:00:21.953Z
Insert between 6 and 16 two numbers, such that the first three of the four shall be in arithmetical progression, and the last three in geometrical progression. A Review of Algebra 2012-01-11T03:00:29.300Z
The especial advantage of the study of arithmetical prodigies is that in their case the subjective impression coincides closely with the objective result. Human Personality and its Survival of Bodily Death 2012-01-05T03:00:42.307Z
All strictly arithmetical, you know, and adjusted by the relative frequency of vibrations. Checkmate 2012-01-03T03:00:10.887Z
Every detail of the pupil's work must do the maximum service in arithmetical learning. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Whoever has recognised the form of the principle of sufficient reason, which appears in pure time as such, and on which all counting and arithmetical calculation rests, has completely mastered the nature of time. The World As Will And Idea (Vol. 1 of 3) 2011-12-29T03:00:18.017Z
The 9th term of an arithmetical progression is the 16th term is Find the first term. A Review of Algebra 2012-01-11T03:00:29.300Z
The prodigy grown to manhood, who now recognises the arithmetical artifices which he used unconsciously as a boy, resembles the hypnotic subject trained by suggestion to remember in waking hours the events of the trance. Human Personality and its Survival of Bodily Death 2012-01-05T03:00:42.307Z
In a landmark study in 1998, a team of researchers led by cognitive neuroscientist Elizabeth Brannon of Duke University, found that rhesus monkeys could be taught just such arithmetical reasoning. Scientists Find that Pigeons Are Capable of Simple Math 2011-12-28T11:00:00Z
If an arithmetical procedure seems to require accessory bonds which are to be forgotten, once the procedure is mastered, we should be suspicious of the value of the procedure itself. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
What they seek is the reason and consequent of being in space, sensuously expressed; a demonstration after the manner of Euclid, or an arithmetical solution of spacial problems, does not please them. The World As Will And Idea (Vol. 1 of 3) 2011-12-29T03:00:18.017Z
Find four numbers in arithmetical progression, such that the sum of the first two is 1, and the sum of the last two is -19. A Review of Algebra 2012-01-11T03:00:29.300Z
I have spoken of the arithmetical prodigy as possessing a kind of internal blackboard, on which he inscribes with ease and permanence his imaginary memoranda. Human Personality and its Survival of Bodily Death 2012-01-05T03:00:42.307Z
Yankelé was subdued to genuine respect and consternation by da Costa's marvellous memory and arithmetical genius. The King of Schnorrers Grotesques and Fantasies 2011-12-28T03:00:34.587Z
If the elements of arithmetical ability are to act together as a total organized unified force they must be made to act together in the course of learning. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The departure from the arithmetical correctness of the intervals, through some temperament, or produced by the key selected, is analogous to the departure of the individual from the type of the species. The World As Will And Idea (Vol. 1 of 3) 2011-12-29T03:00:18.017Z
The arithmetical mean between two numbers is and their geometrical mean is 42. A Review of Algebra 2012-01-11T03:00:29.300Z
But the coincidences between apparitions and crises other than death, although not susceptible of the same arithmetical precision of estimate, are, as will be seen, quite equally convincing. Human Personality and its Survival of Bodily Death 2012-01-05T03:00:42.307Z
There are instruments, and very curious ones, for lessening the labour of all arithmetical calculations; and tables, that is, the results of certain calculations, which are of practical use, are constructed for the same purpose. Knowledge is Power: A View of the Productive Forces of Modern Society and the Results of Labor, Capital and Skill. 2011-12-24T03:08:00.833Z
The reader may by now feel rather helpless before the problem of the arrangement of arithmetical subject matter. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
If these first simple elements are doubled: namely—two straight lines put under each other like our arithmetical sign of equation, and two broken or divided lines also put together, the different lines are formed. The Philosophy of History, Vol. 1 of 2 2011-12-24T03:07:59.623Z
Optional Cube root of algebraic expressions.Cube root of arithmetical numbers. A Review of Algebra 2012-01-11T03:00:29.300Z
This system of notation is so well understood, or can be so speedily mastered from almost any arithmetical treatise, that it is hardly worth while to enlarge upon it here. Book Collecting: A Guide for Amateurs 2011-12-21T03:00:41.820Z
In fact, given uniform conditions of temperature, if different altitudes were taken in arithmetical progression the respective pressures and densities would diminish in geometrical progression. The Energy System of Matter A Deduction from Terrestrial Energy Phenomena 2011-12-21T03:00:36.570Z
Children, especially the less gifted intellectually, need more experiences as a basis for and as applications of an arithmetical abstraction or concept than are usually given them. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
A very simple arithmetical operation gives the proportion— forearm × 100 , the quotient obtained furnishes the index. humerus The index is less than 100 if the forearm is shorter than the bone of the arm. Artistic Anatomy of Animals 2011-12-17T03:00:16.893Z
Learn to derive the three formulas in arithmetical progression: 2. A Review of Algebra 2012-01-11T03:00:29.300Z
When the coefficients in an equation are rational integers, the determination of its group may be made by a finite number of processes each of which involves only rational arithmetical operations. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z
Arithmetic .65 It is not enough for pupils to understand arithmetical processes; they must be able to use them accurately and rapidly. A History of the Philippines 2011-12-12T03:00:36.870Z
This is specially true of the reasoning about arithmetical facts in life. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The thing seems to be nothing more than an arithmetical sum of intensities of individual feelings, or, most justly, individual values. Social Value A Study in Economic Theory Critical and Constructive 2011-11-19T03:00:28.253Z
Insert 5 arithmetical means between 11 and 32. A Review of Algebra 2012-01-11T03:00:29.300Z
This is a minimal requirement of sound public finance: really, an arithmetical constraint as much as a political or constitutional one. To Put Europe Back on Track Try Listening to Voters: Clive Crook 2011-11-16T00:32:30Z
The geometrical solution of arithmetical and algebraical problems is usually termed graphical analysis; the application to problems in mechanics is treated in Mechanics, � 5, Graphic Statics, and Diagram. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 3 "Gordon, Lord George" to "Grasses" 2011-11-13T03:00:13.177Z
The arithmetical complement of a number with respect to a larger number is the difference between these two numbers. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
It is not a matter of arithmetical addition. Social Value A Study in Economic Theory Critical and Constructive 2011-11-19T03:00:28.253Z
The 7th term of an arithmetical progression is 17, and the 13th term is 59. A Review of Algebra 2012-01-11T03:00:29.300Z
The consciousness of a living being may be defined as an arithmetical difference between potential and realised activity. Feminism and Sex-Extinction 2011-11-11T03:00:29.100Z
"She will be due off Cape Fear some time after meridian to-morrow," added the captain, consulting a paper, on which were several arithmetical operations. Brave Old Salt or, Life on the Quarter Deck 2011-11-04T02:00:18.377Z
With proper textbooks and oral and written exercises, however, a child in grades 2 and 3 can spend time profitably on arithmetical work. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
It is his effort to treat organic processes as if they were an arithmetical sum of elements. Social Value A Study in Economic Theory Critical and Constructive 2011-11-19T03:00:28.253Z
Find the 13th term and the sum of 13 terms of the arithmetical progression ���. A Review of Algebra 2012-01-11T03:00:29.300Z
The boy who cons the first pages of his arithmetical text-book, soon learns what he knows to be self-evident truths. Know the Truth; A critique of the Hamiltonian Theory of Limitation 2011-10-29T02:00:13.723Z
The spectral light by which we were aureoled increased in intensity, as by arithmetical progression, and I could now distinguish objects at a considerable distance before us. Etidorhpa or the End of Earth. The Strange History of a Mysterious Being and The Account of a Remarkable Journey 2011-10-18T02:00:20.997Z
Also it is apparent that the racial history in the case of arithmetical achievement is entirely a matter of acquisition and social transmission. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
It established libraries and universities; and, from the hand of its civilization Europe has received the knowledge of arithmetical characters, of gunpowder, and of the art of manufacturing rags into paper. Monks, Popes, and their Political Intrigues 2011-10-12T02:00:43.383Z
In an arithmetical progression Find a and l. A Review of Algebra 2012-01-11T03:00:29.300Z
And then from the mist of unnamable numerals, from this uncharted arithmetical census, there came to memory a voice, deep and guttural,—and this time the slow enunciation was jeering, hopeless of answer, Wh—y? Jungle Peace 2011-10-06T02:00:42.363Z
The 7th, 8th and 9th books are purely arithmetical, whilst the 10th contains a most ingenious treatment of geometrical irrational quantities. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z
Next come plans to relieve arithmetical learning from certain discomforts such as the eyestrain of some computations and excessive copying of figures. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Many teachers, finding that the parrot-like learning of a text-book is unprofitable, attempt to make the exercise more valuable by means of problems—usually simple arithmetical problems—depending upon principles of physics or chemistry. Scientific Culture, and Other Essays Second Edition; with Additions 2011-09-17T02:00:31.747Z
Their arithmetical mean exceeds their geometrical mean by 18. A Review of Algebra 2012-01-11T03:00:29.300Z
In this connection the old formula can be reversed: wealth increases in geometrical, living labour-power in arithmetical progression. The life and teaching of Karl Marx 2011-09-03T02:00:19.203Z
Hence perhaps it arose that, till comparatively modern times, appeal to arithmetical aid in geometrical reasoning was in all possible ways restrained. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z
At present arithmetical work is, hour for hour, probably more of a tax upon the eyes than reading. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The bare duration of a note, its merely arithmetical value, can generally be expressed in more ways than one. How to Write Music Musical Orthography 2011-09-01T02:00:19.133Z
The sum of 9 terms of an arithmetical progression is 46; the sum of the first 5 terms is 25. A Review of Algebra 2012-01-11T03:00:29.300Z
Pythagoras and his followers, who were interested, like Descartes, in the application of number to geometry, adopted in that science more arithmetical methods than those with which Euclid has made us familiar. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z
In the modern theory of number irrational numbers are defined in a purely arithmetical manner, independent of the measurement of any quantities or magnitudes, whether geometric or of any other kind. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z
I shall not go into details concerning the arrangement of courses of study, textbooks, and lesson-plans to make desirable connections between arithmetical learning and sports, housework, shopwork, and the rest. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Frustration bubbles beneath a diplomatic managerial public face but is tempered by the bigger arithmetical picture. Premier League preview No11: Newcastle United 2011-08-08T07:00:00Z
The sole explanation the Jago could supply was the one that at last, with arithmetical variations, prevailed. A Child of the Jago 2011-08-05T02:00:52.533Z
Between any two of them, there are others, for example, the arithmetical mean of the two. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z
The heart of the problem is arithmetical: The post-World War II social welfare state, created at a moment when the baby boom was still gestating, is built on a generational Ponzi scheme. Way of the World: The Problems of a Graying Population 2011-07-28T15:59:16Z
There remains the most important increase of interest in arithmetical learning—an increase in the interest directly bound to achievement and success in arithmetic itself. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The ancients knew nothing of our present system of arithmetical notation; nothing of algebra, and, of course, nothing of the important application of algebra to geometry. The Works of Daniel Webster, Volume 1 2011-07-27T02:00:32.830Z
Any arithmetical reader can ascertain the amount for himself. Bygones Worth Remembering, Vol. 1 (of 2) 2011-07-22T02:00:20.507Z
Some purely arithmetical peculiarities of infinite numbers have also caused perplexity. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z
And just as an arithmetical result will be useless if the data of the calculation be incorrect, so a logical conclusion is liable to be false if the premises are so. A Logic Of Facts Or, Every-day Reasoning 2011-07-22T02:00:18.543Z
Another means of stimulating the essential interest in quantitative thinking itself is the arrangement of the work so that real arithmetical thinking is encouraged more than mere imitation and assiduity. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The notation of the Romans, in particular, could adapt itself so ill to arithmetical operations, that nearly all their calculations had to be made by the abacus. The Seven Follies of Science [2nd ed.] A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. 2011-06-30T02:00:34.290Z
I use Shaw's box of arithmetical blocks to teach the philosophy of carrying tens, and I think it admirable. Guide to the Kindergarten and Intermediate Class and Moral Culture of Infancy. 2011-06-30T02:00:25.950Z
The first of these propositions is capable of an easy arithmetical proof so long as finite numbers are concerned; but with infinite numbers, after the first, it ceases to be true. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z
At this period he was expert in the simple rules of arithmetical calculation. Olive Leaves Or, Sketches of Character 2011-06-25T02:00:21.120Z
There is no time cost, but a time-saving, for the learning as a means to the solution of the problems is quicker than the mere learning of the arithmetical facts by themselves alone. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Let us quote another example to show the application of the arithmetical test. Mentally Defective Children 2011-06-19T02:00:24.963Z
Certain idiots, unable to make the most elementary arithmetical calculations, repeat the whole of the multiplication table without an error. Psychotherapy 2011-06-19T02:00:20.053Z
As regards greater and less lengths of lines, which is the problem from which the above discussion starts, that involves a meaning of greater and less which is not arithmetical. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z
Theoretical investigation, abundantly confirmed by practical results, has determined that the strata of air decrease in density in a geometrical proportion, while the elevations increase in an arithmetical one. A Treatise on Meteorological Instruments Explanatory of Their Scientific Principles, Method of Construction, and Practical Utility 2011-06-19T02:00:15.717Z
In general, all correlations between an individual's divergence from the common type or average of his age for one arithmetical function, and his divergences from the average for any other arithmetical function, are positive. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
They have great difficulty in defining what is the proper arithmetical operation. Mentally Defective Children 2011-06-19T02:00:24.963Z
You sometimes take averages from the known facts of certain years; but your averages are formed on an arithmetical ratio while your application is to a geometrical series. Letters of David Ricardo to Thomas Robert Malthus, 1810-1823 2011-06-09T02:00:21.460Z
The greater and less of metrical geometry involves the new metrical conception of congruence, which cannot be developed out of arithmetical considerations alone. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z
“In fact it may be taught to dance according to arithmetical measure and made to save a vast amount of ciphering, performing in this respect the use of the abacus.” Homogenetic Enumeration: A Numerical System Guaranteed to Move You 2011-05-31T22:15:00.253Z
Reasoning, arithmetical, nature of, 19 ff.;     measurement of ability in, 42 ff.;     derivation of tables by, 58 f.;     about the rationale of computations, 60 ff.;     habit in relation to, 73 f., The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
In Paris, M. Vaney, a headmaster, made some investigations by the arithmetical test, which we shall explain presently, and reached the conclusion that 2 per cent. of the school population of two districts were backward. Mentally Defective Children 2011-06-19T02:00:24.963Z
It seems arid now, for there is nothing attractive in the application of arithmetical formulas to Noah’s Ark; but it was just the kind of argument needed for the time and for the audience addressed. The Age of Tennyson 2011-05-31T02:00:36.607Z
But this question has not the fundamental importance which belongs to the arithmetical theory of infinity. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z
The unchecked increase of population is in a geometrical ratio, the increase of food for their subsistence is in an arithmetical ratio. A Few Words About the Devil And Other Biographical Sketches and Essays 2011-05-31T02:00:28.247Z
In what other arithmetical functions may we expect the same? The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
This is not a problem in arithmetical progression. Back at School with the Tucker Twins 2011-05-14T02:00:10.887Z
This, however, is not painting a portrait; but gauging the length and breadth of the several features, and jotting down their dimensions in arithmetical ciphers. Life of Robert Burns 2011-05-11T02:00:21.043Z
Suppose we take $13,08⅓—just half the average value—as the multiplier in this arithmetical exercise. The Impending Crisis of the South How to Meet It 2011-05-10T02:00:59.100Z
He added: "What I'd like of course is a functioning, arithmetical majority". Welsh Labour 'majority is likely' 2011-05-06T03:25:28Z
The ordinary view of the nature of arithmetical learning is obscure or inadequate in four respects. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The highest is the third, counting upwards; and they diminish in nearly arithmetical proportion alternately; in the order 3rd, 1st, 2nd, 4th. The Seven Lamps of Architecture 2011-04-20T02:00:20.760Z
I know that the little schoolboy missed two dances because he had involved himself in an arithmetical puzzle, as to how much his predecessor got as schoolmaster and whether he was sacristan as well. An Old Story of My Farming Days Vol. III (of III). (Ut Mine Stromtid) 2011-04-14T02:01:02.690Z
These simple arithmetical figures are God’s eternal Scripture against the folly and madness of Slavery, and need no aid of rhetoric to give emphasis to the startling eloquence of their revelations. The Impending Crisis of the South How to Meet It 2011-05-10T02:00:59.100Z
Duodecimals is a term applied to an arithmetical method of ascertaining the number of square feet, &c., in a rectangular area or surface, whose sides are given in feet, inches, and lines. The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde 2011-04-14T02:00:57.977Z
Knowledge of language over a much wider range is a necessary element in arithmetical ability in so far as the latter includes ability to solve verbally stated problems. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Asked what constituted a majority, he said "an arithmetical majority". Labour aims for assembly majority 2011-04-04T10:52:07Z
This example shows how little the Greeks were embarrassed in arithmetical calculations by their alphabetical system of numerals. Archimedes Men of Science 2011-03-13T03:00:23.660Z
The gray head-stones and grass-grown graves brought home to him no passing thought of change and mortality; death was to him an arithmetical formula by which he measured annuities and reversions and policies. The Tenants of Malory Volume 2 of 3 2011-03-04T03:00:56.067Z
But, as in the analogous cases of algebraic equations and definite integrals, it may be quite possible to find, by methods of approximation, an arithmetical solution which is sufficient for the purpose in hand.—Bibliography: The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde 2011-04-14T02:00:57.977Z
Samples concerning any other arithmetical principle may be found in the appropriate pages of any text which contains problem-material selected with consideration of life's needs. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
And every arithmetical operation is an application of this law, or of other laws capable of being deduced from it. A System of Logic: Ratiocinative and Inductive 7th Edition, Vol. II 2011-03-01T03:00:40.557Z
Who, now, at all familiar with the dynamics of geological agencies, shall undertake to give an arithmetical expression to the periods that make up the world’s entire history? The Religion of Geology and Its Connected Sciences 2011-02-28T03:00:28.890Z
The problems solved were of an arithmetical nature, assuming such forms as “a mass and its 1⁄7th makes 19.” Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" 2011-02-27T03:00:31.973Z
Now here, with an arithmetical exactitude of demonstration, he perceived that Marjorie wasn't. Marriage 2011-02-22T03:00:06.867Z
The last respect in which the nature of arithmetical abilities requires definition concerns arithmetical reasoning. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
But the mean for purposes of inductive inquiry, is not the average, or arithmetical mean, though in a familiar illustration of the theory the difference may be disregarded. A System of Logic: Ratiocinative and Inductive 7th Edition, Vol. II 2011-03-01T03:00:40.557Z
But does the fact that man’s faculties are limited, prove that an arithmetical process cannot be carried on from eternity to eternity? The Religion of Geology and Its Connected Sciences 2011-02-28T03:00:28.890Z
Respectable aptness in arithmetical calculations, without extraordinary talent. Life of Heber C. Kimball, an Apostle The Father and Founder of the British Mission 2011-02-21T03:00:08.060Z
It is a synthesis not arithmetical, but algebraical; that is to say, its particular subjects are universal symbols, its predicates, universal laws: hence it is infinitely suggestive. The Literature of Ecstasy 2011-02-16T03:00:39.843Z
The phrase 'life's simpler arithmetical demands' is necessarily left vague. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The algebraic derivation of this equation is, of course, essentially the same as the arithmetical derivation previously given. Readings in Money and Banking Selected and Adapted 2011-02-01T03:00:14.553Z
And first, those famous arithmetical passages in "The Thorn," one of which stands to-day as it stood in the "Lyrical Ballads." The Galaxy Vol. XXIII?March, 1877.?No. 3 2011-01-31T03:00:16.193Z
Salvina carefully worked out all the arithmetical points involved, and discovered to her surprise that life assurance was a form of gambling. Ghetto Tragedies 2011-01-27T03:00:46.507Z
In the Papyrus of Ahmes, whose contents probably come from before 2400 B.C., there are the solutions of many problems which show how far the Egyptians had gone in arithmetical calculations. Education: How Old The New 2011-01-14T03:00:54.370Z
The fact is that the learner rarely can, and almost never does, survey and analyze an arithmetical situation and justify what he is going to do by articulate deductions from principles. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
M will be the simple arithmetical average of the amounts of money existing at successive instants separated from each other by equal intervals of time indefinitely small. Readings in Money and Banking Selected and Adapted 2011-02-01T03:00:14.553Z
The relationships are not arithmetical, additive, mechanical, but are vital and organic. The Value of Money 2011-01-04T03:01:12.363Z
Now for the interpolation of the rest, I considered that the denominators 1, 3, 5, &c., were in arithmetical progression; and that therefore only the numerical coefficients of the numerators were to be investigated. Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 7 "Bible" to "Bisectrix" 2010-12-20T17:12:05.780Z
“The challenge is to work within these arithmetical constraints,” Mr. George said. News Analysis: For India?s Ruling Party, Challenge Is Governing 2010-04-29T02:50:00Z
The percentage of wrong answers in arithmetical work in schools is now so high that the pupils are often being practiced in error. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Hence, then, they disported themselves over a pleasant pastime which combined skill, the elements of chance, and mental and arithmetical calculation—the Vidlers’ pastime was cribbage. A Double Knot
Representation of Geometrical Magnitude by Number.—The application of arithmetical methods to geometrical measurement presents some difficulty. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"
"What, sir?" she asked with a giggle now; preferring his working out of the arithmetical problem as likely to be more racy than her own. A Poached Peerage
In mathematics, he was the first to draw up a methodical treatment of mechanics with the aid of geometry; he first distinguished harmonic progression from arithmetical and geometrical progressions. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 4 "Aram, Eugene" to "Arcueil"
If a certain form of statement does in life always signify a certain arithmetical procedure, the bond between it and that procedure may properly be made very strong. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Although the processes of arithmetical operations are often highly complicated, they all resolve themselves into the repetition of four primary operations—addition, subtraction, multiplication, and division. The New Gresham Encyclopedia. Vol. 1 Part 2 Amiel to Atrauli
When the unit is not determined, the reasoning is algebraical rather than arithmetical. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"
That is, to apply arithmetical notions to Him may be as unphilosophical as it is profane. An Essay In Aid Of A Grammar Of Assent
Again, the well-known zoölogist, K. Möbius, writing in the "National-zeitung" declared he was convinced of the horse's power to count and to solve arithmetical problems. Clever Hans (The horse of Mr. Von Osten): A contribution to experimental animal and human psychology
What is learned of such deductive theory should rank among the most rather than least permanent of a pupil's stock of arithmetical knowledge and power. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The earliest arithmetical signs appear to have been hieroglyphical, but the Egyptian hieroglyphics were too diffuse to be of any arithmetical value. The New Gresham Encyclopedia. Vol. 1 Part 2 Amiel to Atrauli
They are not suitable for elementary purposes, as the arithmetical relations involved are complicated and difficult to grasp. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"
Supposing a boy cannot make his answer to some arithmetical or algebraical question tally with the book, need he at once distrust the book? An Essay In Aid Of A Grammar Of Assent
Since the three correct answers in the cases in which procedure was without knowledge evidently were accidental, the results of this series of experiments show that Hans was unable to solve arithmetical problems. Clever Hans (The horse of Mr. Von Osten): A contribution to experimental animal and human psychology
Here, again, it is to be doubted whether a pupil for whom arithmetical facts, well taught and made interesting, are so hard to acquire as this, should learn many of them. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Such an arithmetical exercise constitutes merely arguing in a circle. The Aboriginal Population of the North Coast of California
In the second place, this method fixes the attention at once on the larger, and therefore more important, parts of the quantities concerned, and thus prevents arithmetical processes from becoming too abstract in character. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"
That they wore moustaches, lived and loved like passionate humanity did not seem to matter compared with the arithmetical progression of their averages. Sinister Street, vol. 1
That the subject of the controversy was the alleged ability of a trained horse to solve complex arithmetical problems may excite gaiety and even derision, until one hears the details. Clever Hans (The horse of Mr. Von Osten): A contribution to experimental animal and human psychology
We know far too little about the amount of practice needed to adapt arithmetical bonds to efficient operation in these more complicated conditions to estimate even approximately the allowances to be made. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
But just as the commercial life of the Phœnicians early forced them self-consciously to develop arithmetical calculation, so environmental conditions seem to have forced upon the Egyptians a need for geometrical considerations. Creative Intelligence Essays in the Pragmatic Attitude
Thus arithmetical processes deal with numerical quantities by dealing with numbers, provided the unit is the same throughout. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"
This was a vast work, involving the subtlest considerations of principle, very long and elaborate mathematical investigations of a high order, and an enormous amount of arithmetical computation.”  Springtime and Other Essays
Then the questioner was to leave, and Mr. von Osten, returning, was to ask the horse to perform some arithmetical process with the number which was thus unknown to the master. Clever Hans (The horse of Mr. Von Osten): A contribution to experimental animal and human psychology
Each bond should be considered, not simply as a separate tool to be put in a compartment until needed, but also as an improvement of one total tool or machine, arithmetical ability. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The triangle obviously must have been practically considered by the decorators of the temple and its builders, but the cord stretchers rendered clear its arithmetical significance. Creative Intelligence Essays in the Pragmatic Attitude
In order to apply arithmetical processes to a quantity expressed in two or more denominations, we must first express it in terms of a single denomination by means of a varying scale of notation. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"
There was no arithmetical magic by which they could stretch the food supply to satisfy minimum needs until next harvest. The Year When Stardust Fell
The exhibitions included the indication of the day of the week by means of taps, the day just past, the day ahead, its date, arithmetical problems, and the counting of rings strung upon a rod. Clever Hans (The horse of Mr. Von Osten): A contribution to experimental animal and human psychology
What they need and can use is a dynamically effective system or order, one that they can learn easily and retain long by, regardless of how it would look in a museum of arithmetical systems. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Then, by certain speculative and "play" impulses, there arose elementary arithmetical problems which began to be of interest in themselves. Creative Intelligence Essays in the Pragmatic Attitude
Thus, while arithmetical numbering refers to units, geometrical numbering does not refer to units but to the intervals between units. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"
I am what the mathematicians would call an arithmetical absurdity—I am the one that is equal to the two they represent. The Inventions of the Idiot
This must be denied decidedly with regard to the tapping of numbers and the solution of arithmetical problems. Clever Hans (The horse of Mr. Von Osten): A contribution to experimental animal and human psychology
Vital problems as nuclei around which to organize arithmetical learning are of prime importance. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Many boards have been constructed to enable the blind to work arithmetical problems. Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 1 "Bisharin" to "Bohea"
Multiplication and Division are the names given to certain numerical processes which have to be performed in order to find the result of certain arithmetical operations. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"
The Squares of the Diameters of these Rings made by any prismatick Colour were in arithmetical Progression, as in the fifth Observation. Opticks or, a Treatise of the Reflections, Refractions, Inflections, and Colours of Light
Everything up to this point might be explained as the working of simple memory association, but when we come to problems in counting and arithmetical calculation, we are in the field of conceptual thought. Clever Hans (The horse of Mr. Von Osten): A contribution to experimental animal and human psychology
There is only one that is absolutely general, to take the order that works best for arithmetical learning. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The application of the number theory issues in a barren and futile arithmetical mysticism. A Critical History of Greek Philosophy
Since this is a spiritual enterprise and dependent upon superhuman forces, no arithmetical statement can be considered as authoritative and final. The Call of the World or, Every Man's Supreme Opportunity
Secondly, Because Light is alternately reflected and transmitted by thin Plates of Glass for many Successions, accordingly as the thickness of the Plate increases in an arithmetical Progression. Opticks or, a Treatise of the Reflections, Refractions, Inflections, and Colours of Light
It is interesting in the present connection chiefly as the ruins of an arithmetical statement of the mysteries of the universe. The Book of This and That
Other things being equal, use objective aids to verify an arithmetical process or inference after it is made, as well as to provoke it. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
It obliges the companies to have on hand invested a sum of money, being a certain arithmetical proportion to the amount of outstanding insurance. The Galaxy, May, 1877 Vol. XXIII.—May, 1877.—No. 5.
As an example, take the arithmetical series a, a + p, a + 2p, ... Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4 "Diameter" to "Dinarchus"
This method will serve equally for all sorts of arithmetical progressions composed of odd numbers; even numbers being too complicated to afford any amusement. Endless Amusement A Collection of Nearly 400 Entertaining Experiments
By adding the sum of the ciphers in this figure to the figure itself—1774 + 1 + 7 + 7 + 4—the arithmetical diviners point out that you get 1793, the year of the King's death. The Book of This and That
Even if we knew what the best distribution of practice was for each ability of the many to be inculcated by arithmetical instruction, we could perhaps not provide it for all of them. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
People did not profess to know the nature of the arithmetical operation by which the total of their liabilities was arrived at; they left that to the cashier and the rest of the underlings. An Englishman in Paris Notes and Recollections
Yet this might have been ascertained at the beginning by the simplest arithmetical calculation. The Intellectual Life
An arithmetical magical square consists of numbers so disposed in parallel and equal lines, that the sum of each, taken any way of the square, amounts to the same. Endless Amusement A Collection of Nearly 400 Entertaining Experiments
He was the inventor of an arithmetical table differing but little from that of Sanderson. The Scrap Book, Volume 1, No. 5 July 1906
It is only by a certain amount of artifice that we can enlist other vehement inborn interests of childhood in the service of arithmetical knowledge and skill. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
The origin of arithmetical signs is explained as follows: 1. The Scrap Book, Volume 1, No. 3 May 1906
She envied Regina's accurate memory and wonderful clearness in grasping all arithmetical problems. Loyal to the School
The whole court was amazed at the arithmetical wisdom of the fair Libussa, and the acuteness of her clever bridegroom. Tales from the German Comprising specimens from the most celebrated authors
The numbers hurriedly mentioned in this summary of distance, it is folly to attempt comprehending, unless in the light of abstract arithmetical facts. Eureka: A Prose Poem
It seems probable that little is gained by using any of the child's time for arithmetic before grade 2, though there are many arithmetical facts that he can learn in grade 1. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
There are many mathematical and arithmetical uses of the term, particularly of those forms of addition, multiplication, division and subtraction which deal with quantities of more than one denomination. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 7 "Columbus" to "Condottiere"
The ten fingers on which men count and thereby performed the first arithmetical calculations are anything but a free creation of the mind. Landmarks of Scientific Socialism "Anti-Duehring"
Probably if we follow an old arithmetical device, adding Curtis's overstatement and Van Dom's understatement together and dividing the sum by two—the number of statements—we may get somewhat near the truth. The Struggle for Missouri
The mathematical tortures to which he put that unhappy amount; the arithmetical abuse which he heaped upon it, and the algebraic contumely with which he overwhelmed it, almost defy description. The Witches of New York
If, however, many children are to leave in grades 5 and 6 as now, we may think it wise to provide somehow that certain minima of arithmetical ability be given them. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Euler’s pioneering work in the subject rests on the observation that the algebraic multiplication xa � xb � xc � ... xa+b+c+ ... is equivalent to the arithmetical addition of the exponents a, b, c, ... Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 7 "Columbus" to "Condottiere"
The plainest form of an incontrovertible idea of eternity is the piling up of numbers unlimitedly in arithmetical progression. Landmarks of Scientific Socialism "Anti-Duehring"
How do you know your witnesses have been so exact to a second when they say this and that of the goings and comings you are pleased to put into an arithmetical problem. Hand and Ring
There was no dinning into his head the arithmetical truism that if you take two from three one remains. Eyes Like the Sea
Man's original nature is destitute of all arithmetical ideas. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
As in the case of the process of 386 Archimedes, we may direct our attention either to the infinite series of geometrical operations or to the corresponding infinite series of arithmetical operations. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 4 "Cincinnatus" to "Cleruchy"
Nor, observe, do I insist upon this quantity merely as arithmetical, or as if it were producible by repetition of similar things. Modern Painters, Volume IV (of V)
In close relation to chronology is the system of numeration and the arithmetical signs. The Books of Chilan Balam, the Prophetic and Historic Records of the Mayas of Yucatan
These elements will enable us to convert, by a simple arithmetical operation, any historical date, of which the chronological characters are given according to any era whatever, into the corresponding date in the Christian era. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 3 "Chitral" to "Cincinnati"
"Significance as a means of securing other desired ends than arithmetical learning itself" is therefore our next topic. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
From this point onwards, therefore, no knowledge whatever of geometry was necessary in any one who aspired to determine the ratio to any required degree of accuracy; the problem being reduced to an arithmetical computation. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 4 "Cincinnatus" to "Cleruchy"
Thenceforward, Herr Katschuka came every day to the house; but the major did not keep to the prescribed arithmetical progression—first one minute, then two. Timar's Two Worlds
This is true in arithmetical work, for example. Psychology A Study Of Mental Life
This led them at once to the study of the mysteries of figures and of arithmetical relations, and plunged them into the wildest fantasies when it took the absurd form that numbers are actually things. History of the Intellectual Development of Europe, Volume I (of 2) Revised Edition
The problem is to attach that interest to arithmetical learning. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
This ratio, invariably denoted by π, is constant for all circles, but it does not admit of exact arithmetical expression, being of the nature of an incommensurable number. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 4 "Cincinnatus" to "Cleruchy"
In return, the old man used to send him weird arithmetical problems, that it took the whole class weeks to work out. The Boy With the U. S. Life-Savers
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. Psychology A Study Of Mental Life
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. A Morning's Walk from London to Kew
Until the interest permeates the arithmetical activity itself our task is only partly done, and perhaps is made harder for the next time. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
Archimedes’s process of unending cycles of arithmetical operations could at best have been expressed in his time by a “rule” in words; in the 16th century it could be condensed into a “formula.” Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 4 "Cincinnatus" to "Cleruchy"
But now, under the influence of misfortune, my thoughts took an arithmetical turn. Household Papers and Stories
With these thought-reading tricks may be put one or two arithmetical puzzles. What Shall We Do Now?: Five Hundred Games and Pastimes
But that the number can be gradually diminished, till utterly extinguished, may be made to appear, it is believed, from a little arithmetical calculation....' Thoughts on African Colonization
In so far as arithmetical learning is organized to satisfy the practical demands of the pupil's life at the time, he should, so to speak, come part way to get its help. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
In a general way the birth rate varies inversely as the earning power of the classes in the case, though the amounts of the variations do not correspond to each other with any arithmetical exactness. Essentials of Economic Theory As Applied to Modern Problems of Industry and Public Policy
Chebichev further constructed an instrument for drawing large circles, and an arithmetical machine with continuous motion. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 1 "Châtelet" to "Chicago"
Otherwise, the certainty in arithmetical processes, as in those of geometry or mechanics, is not mathematical, i.e. unconditional certainty, but only certainty of inference. Analysis of Mr. Mill's System of Logic
The arithmetical operation on which we were embarked took long, and it might have been tedious to others; not to me nor to my helper. The Works of Robert Louis Stevenson - Swanston Edition Vol. 20 (of 25)
It had its chief significance for the surety and clearness of the first foundation of arithmetical instruction. The Psychology of Arithmetic 2012-03-31T02:00:28.817Z
So the four distances are accurately in arithmetical proportion; i.e. The Stones of Venice, Volume II (of 3),
As the matter now stands, let us address an arithmetical age—but my pen hesitates to bring down my subject to an argument fitted to “these coster-monger times.” Calamities and Quarrels of Authors
The aristocratic families of a country are continually running out; and it requires frequent creations to keep up the House of Lords; whereas our poorer people seem increasing in more than the arithmetical ratio. My Schools and Schoolmasters or The Story of my Education.
The use of arithmetic in furnishing numerical expressions in the solution of geometrical and arithmetical problems became common. History of Human Society
The domestic pig has on many occasions shown a capacity for mastering simple arithmetical processes, and we know that the pupil always ends by bettering his master. Punch, or the London Charivari, Vol. CLVIII, January 7, 1920
Doña Victorina was a woman of about forty-five summers, which, according to her arithmetical calculations, was equivalent to thirty-two springs. Friars and Filipinos An Abridged Translation of Dr. Jose Rizal's Tagalog Novel, 'Noli Me Tangere.'
I recollect proceeding to the extraction of the cube-root, without the slightest comprehension of the principle of that or any of the simplest arithmetical operations. The Atlantic Monthly, Volume 15, No. 89, March, 1865
“They generally play duplo at their parties—a game consisting in arithmetical combinations—and also our game of forfeits.” The Philippine Islands, 1493-1898 - Volume 40 of 55 1690-1691 Explorations by Early Navigators, Descriptions of the Islands and Their Peoples, Their History and Records of the Catholic Missions, as Related in Contemporaneous Books and Manuscripts, Showing the Political, Economic, Commercial and Religious Conditions of Those Islands from Their Earliest Relations with European Nations to the Close of the Nineteenth Century
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. The Continental Monthly, Vol. 4, No. 5, November, 1863
By nature human food increases in a slow arithmetical ratio; man himself increases in a quick geometrical ratio, unless want and vice stop him.” Principles Of Political Economy Abridged with Critical, Bibliographical, and Explanatory Notes, and a Sketch of the History of Political Economy
So in stupor there is an inability to perform simple arithmetical problems, poor orientation is observed, and so on. Benign Stupors A Study of a New Manic-Depressive Reaction Type
They cancel each other like the factors in an arithmetical problem. Word Study and English Grammar A Primer of Information about Words, Their Relations and Their Uses
There are many differences, notably because of the especial development of that peculiar characteristic of the West, mathematical astronomy, conditioned by the almost accidental conflux of Babylonian arithmetical methods with those of Greek geometry. On the Origin of Clockwork, Perpetual Motion Devices, and the Compass
He was fond of comparing the two, and often quoted Leibnitz: "Music is an occult exercise of the mind unconsciously performing arithmetical calculations." Melomaniacs
By this action he has put the rods back again in their right gradation, but he has also performed a series of arithmetical subtractions, 10 - 4, 10 - 3, 10 - 2, 10 - 1. Dr. Montessori's Own Handbook
In one sense, it is only enumeration, an arithmetical operation, which in the present instance consists of addition and subtraction. The Electoral Votes of 1876 Who Should Count Them, What Should Be Counted, and the Remedy for a Wrong Count
Our political economists shall have an opportunity of reducing their arguments regarding the improvements in Sutherland into a few arithmetical terms, which the merest tyro will be able to grapple with. Leading Articles on Various Subjects
You don’t know the smart of being only an arithmetical quantity in a world of achievements and possessions.” Dr. Sevier
Dr. Huggins then asked him a series of arithmetical questions, which the dog invariably solved without a mistake. Harper's Young People, October 5, 1880 An Illustrated Weekly
The chapter from which these verses are taken describes two arithmetical processes, the working out of one of which belongs to us, and of the other to our Father in heaven. Memoranda Sacra
But in his heart of hearts he cherished a contempt, softened by stupefaction, for the arithmetical incapacity of Trinitarians. Ghetto Comedies
When Malthus spoke of arithmetical and geometrical ratios, the statement, true or false, was, of course, capable of precise numerical expression, so soon as the ratios were assigned. Social Rights and Duties, Volume I (of 2) Addresses to Ethical Societies
By this machine, which is called a Swan-pan, arithmetical operations are rendered palpable. Travels in China, Containing Descriptions, Observations, and Comparisons, Made and Collected in the Course of a Short Residence at the Imperial Palace of Yuen-Min-Yuen, and on a Subsequent Journey through the Country from Pekin to Canton
Our cubes should be placed, from time to time, in a different order, or promiscuously; but when any arithmetical operations are to be performed with them, it is best to preserve the established arrangement. Practical Education, Volume II
I never saw any of those large families, in arithmetical or step-ladder progression, which one often meets with at home. Typee
Another manuscript volume of his which has been preserved is a book of arithmetical problems. From Farm House to the White House The life of George Washington, his boyhood, youth, manhood, public and private life and services
It was summed up in the famous—though admittedly inaccurate—phrase, that population had a tendency to increase in a geometrical ratio, while the means of subsistence increased only in an arithmetical ratio. Social Rights and Duties, Volume I (of 2) Addresses to Ethical Societies
Faith's steps,—arithmetical, geographical, or what other,—were swift, steady, and sure; herself indefatigable, her teacher no less. Say and Seal, Volume I
Suggestions on Arithmetic after Cramming for an Examination": "Every incident, every object of sight seemed to produce an arithmetical result. The Wit of Women Fourth Edition
You should put this sort of thing into the hands of some arithmetical hireling. The Belovéd Vagabond
By the use of logarithms, arithmetical computations which necessitated laborious application for several months could with ease be completed in as many days. The Astronomy of Milton's 'Paradise Lost'
It will do, then," said Alice, "and I have no doubt we shall untie the knot of those arithmetical problems very soon. The Wide, Wide World
I went over again the list of eaten dishes, and once more went through the simple arithmetical process which gave the sum total of their cost, but with no difference in the result. Pilgrimage from the Alps to the Tiber Or The Influence of Romanism on Trade, Justice, and Knowledge
Thomas Fuller, an African residing in Virginia, did not know how to read or write, but had great facility in arithmetical calculations. An Appeal in Favor of that Class of Americans Called Africans
"The Hindus are believed to have originated the decimal system of arithmetical notation which has been transmitted to us through Arabian channels." History of Education
To increase the arithmetical quantity of life in the world can be counted a gain only if the general tendencies of life are in the right direction. Progress and History
But the mean, for purposes of inductive inquiry, is not the average, or arithmetical mean, though in a familiar illustration of the theory the difference may be disregarded. A System Of Logic, Ratiocinative And Inductive
I knew the dishes I had eaten, and I saw the prices affixed, and I concluded that a simple arithmetical process would infallibly conduct me to the aggregate cost. Pilgrimage from the Alps to the Tiber Or The Influence of Romanism on Trade, Justice, and Knowledge
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. In Eastern Seas Or, the Commission of H.M.S. 'Iron Duke,' flag-ship in China, 1878-83
Besides, Levi ben Gerson was the author of an arithmetical work. Jewish Literature and Other Essays
Humanity has an arithmetical or quantitative side, and the good of humanity surely depends, to some extent, on how much humanity there is. Progress and History
“He has a fine house of his own in the country, with many servants and automobiles, and—wait”—he made a swift arithmetical calculation—“and an income of eighty thousand francs a year.” The Rough Road
Few stories relating to witnesses are more laughable than that which describes the arithmetical process by which Mr. Baron Perrot arrived at the value of certain conflicting evidence. A Book About Lawyers
The first he made could only perform arithmetical operations. Personal Recollections, from Early Life to Old Age, of Mary Somerville
He worked out the sums in his bye-hours, improving every minute of his spare time by the engine-fire, and studying there the arithmetical problems set for him upon his slate by the master.  Lives of the Engineers The Locomotive. George and Robert Stephenson
Our system of arithmetical notation, including that invaluable item the cipher, took shape during the Middle Ages at the hands of the Arabs, who appear to have derived it in the main from India. Progress and History
In the first solution the numbers are in arithmetical progression—1, 1-�, 2, 2-�, 3, 3-�, 4, 4-�, 5. The Canterbury Puzzles And Other Curious Problems
There was consequently no arithmetical complication connected with the adoption of the single gold standard. A History of the Japanese People From the Earliest Times to the End of the Meiji Era
By means of the colours and the various knots the Peruvians expressed ideas—it was their method of writing—but the quipus were chiefly used for arithmetical purposes. The Red True Story Book
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. Hilaire Belloc The Man and His Work
He spoke as their protector, on the condition that they submitted to the common law, and paid their taxes in arithmetical proportion. Lectures on the French Revolution
In solving the above little puzzle, only the most elementary arithmetical signs are necessary. The Canterbury Puzzles And Other Curious Problems
He held that thought has in itself no power of development, and ultimately reduced it to arithmetical computation. Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 3 "Banks" to "Bassoon"
A slide rule should be used for the arithmetical operations, as it works to the accuracy obtainable in practice. Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 2 "Baconthorpe" to "Bankruptcy"
During the later years of his life he resided in London, devoting himself to the construction of machines capable of performing arithmetical and even algebraical calculations. Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 1 "Austria, Lower" to "Bacon"
When his toilet was finished, Gaston began to inspect La Jonquiere's library, and found it composed of three sets of books: theatrical books, obscene books, and arithmetical books. The Regent's Daughter
These squares may be formed with numbers that are in arithmetical progression, or that are not in such progression. The Canterbury Puzzles And Other Curious Problems
Nature, however, knows no such arithmetical doctrines as those which Huyghens attributed to her. The Story of the Heavens
Never, perhaps, has so unhappy an error been made in a work of an arithmetical and mathematical character. Archaeological Essays, Vol. 1
Steven got to work again with various arithmetical questions, which were answered instantly, and then he made a sudden leap and asked: "What is the binomial theorem?" The Wonder
Pascal’s next achievement was the invention of an arithmetical machine, chiefly prompted by a desire to assist his father in his official duties at Rouen.  Pascal
The other witness was the village simpleton, who just escapes being an arithmetical genius, but is excessively stupid in everything else. The Canterbury Puzzles And Other Curious Problems
The power of arithmetical comparison is also a great thing to unimaginative people. The Crown of Wild Olive also Munera Pulveris; Pre-Raphaelitism; Aratra Pentelici; The Ethics of the Dust; Fiction, Fair and Foul; The Elements of Drawing
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 is amazing. Principles of Mining Valuation, Organization and Administration
Nor has any other method ever been suggested; though this method has been presented in several ways, some arithmetical and some geometrical. Myths and Marvels of Astronomy
His labours to perfect his arithmetical machine had seriously impaired it.  Pascal
But in Mr. Bagehot's view universal and varied representation was of more consequence than arithmetical proportion. The Quarterly Review, Volume 162, No. 324, April, 1886
In the debate of May, 1866, on Electoral Qualifications, a question arose about arithmetical capability. A Budget of Paradoxes, Volume II
Were samples equidistant from each other, and were they of equal width, the average value would be the simple arithmetical mean of the assays. Principles of Mining Valuation, Organization and Administration
What arbitrary arithmetical process there is in this it would be difficult to conceive. Myths and Marvels of Astronomy
He had more taste, and perhaps tact, for penmanship than he had for arithmetical rules and problems, and this may account for the difference of his improvement in the two branches. The Printer Boy. Or How Benjamin Franklin Made His Mark. An Example for Youth.
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! Past and Present Thomas Carlyle's Collected Works, Vol. XIII.
Who can say how much of it is to be laid at the door of the University of Cambridge, for not taking care of the elements of arithmetical thought? A Budget of Paradoxes, Volume II
This experiment will give rise to some good arithmetical problems in fractions. Ontario Teachers' Manuals: Nature Study
His income increased in arithmetical progression, and his expenditure in geometrical. Marge Askinforit
Small rods, arranged by Lord Napier to expedite arithmetical calculations. The Sailor's Word-Book An Alphabetical Digest of Nautical Terms, including Some More Especially Military and Scientific, but Useful to Seamen; as well as Archaisms of Early Voyagers, etc.
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. The Posthumous Works of Thomas De Quincey, Vol. 2
This is the answer to those who think that the mathematicians treat the arithmetical squarers too lightly, and that as some person may succeed at last, all attempts should be examined. A Budget of Paradoxes, Volume II
All this is apart from the question of the arithmetical phenomena which, as I have already said, deserve separate consideration. Lola or, The Thought and Speech of Animals
“That is hard to tell, more than you can explain how it is, after you have puzzled your brain for a long time over an arithmetical problem, it suddenly becomes clear to you.” The Telegraph Messenger Boy The Straight Road to Success
To most of them, this important arithmetical proposition would certainly be perfectly incomprehensible. A New Voyage Round the World, in the years 1823, 24, 25, and 26, Vol. 2
But there was in him, parallel to this almost arithmetical passion, another quality which is, in a double sense, the secret of his life. Lord Kitchener
The general run of circle-squarers, hearing that the quadrature is not pronounced to be demonstratively impossible, imagine that the arithmetical quadrature is open to their ingenuity. A Budget of Paradoxes, Volume II
Population, he said, when unchecked, increases in the geometrical ratio; the means of subsistence increase only in an arithmetical ratio. The English Utilitarians, Volume II (of 3) James Mill
Another section consists of five parallel lines, and there are three viii rows of arithmetical symbols. The Earliest Arithmetics in English
Or to exhibit the same principle in the simplest arithmetical form, if 10÷2=5 then 10÷5=2. The Hidden Power And Other Papers upon Mental Science
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. Blackwood's Edinburgh Magazine - Volume 62, No. 384, October 1847
But, strange as it may appear, the opposer of the earth's roundness has more of a case—or less of a want of case—than the arithmetical squarer of the circle. A Budget of Paradoxes, Volume II
If, meanwhile, the quantity of subsistence increased in 'arithmetical progression,' the multipliers for it would be only 9 and 13. The English Utilitarians, Volume II (of 3) James Mill
The absence of arithmetical capacity is, however, less important than the lack of mechanical sense, for the reason that such incapacity is also common in the lowest races of men. Domesticated Animals Their Relation to Man and to his Advancement in Civilization
The presumption in favour of the suspected signature being a forgery is strongly supported by the arithmetical result. The Detection of Forgery A Practical Handbook for the Use of Bankers, Solicitors, Magistrates' Clerks, and All Handling Suspected Documents
The values of the function of x, cekx, increase according to the terms of a geometrical progression as the variable x increases in arithmetical progression.... Manhood of Humanity.
He got out cleverly; for he gave as his reason for the permission, that man is an arithmetical, geometrical, and mechanical animal, as well as a rational soul. A Budget of Paradoxes, Volume II
The arithmetical increase corresponds to a statement which Malthus, at any rate, might regard as undeniable; namely, that in a country already fully occupied, the possibility of increasing produce is restricted within much narrower limits. The English Utilitarians, Volume II (of 3) James Mill
Zeno was concerned, as a matter of fact, with three problems, each presented by motion, but each more abstract than motion, and capable of a purely arithmetical treatment. Mysticism and Logic and Other Essays
In this manner, the whole treasure would soon be absorbed in an arithmetical decreasing progression. History of the Eighty-sixth Regiment, Illinois Volunteer Infantry, during its term of service
One of the ideas is that of an arithmetical progression; another one is that of a geometrical progression. Manhood of Humanity.
Another child becomes interested in the potentialities of numbers or in the arithmetical frame, and perseveres with the same work for days, until his knowledge of it has matured. Spontaneous Activity in Education
The arithmetical illustrations which he employed for the purpose became a nuisance in the hands of his disciples. The English Utilitarians, Volume II (of 3) James Mill
It should not be thought, however, that every exposure on bromide paper must involve an arithmetical calculation. Bromide Printing and Enlarging A Practical Guide to the Making of Bromide Prints by Contact and Bromide Enlarging by Daylight and Artificial Light, With the Toning of Bromide Prints and Enlargements
And this—at first seemingly formal and arithmetical—division, will be found, as we use it, very singularly emphasized by signs of most notable change in the knowledge, disciplines, and morals of the human race. Our Fathers Have Told Us Part I. The Bible of Amiens
Steam and electricity at last mean coal, and the amount of coal in the globe is an arithmetical fact. Folkways A Study of the Sociological Importance of Usages, Manners, Customs, Mores, and Morals
This art has been carried to such perfection, that it has been reduced to a very simple series of arithmetical operations. Time and Tide A Romance of the Moon
This is generally the preface to one of those characteristic arithmetical illustrations to which Ricardo's practice gave a sanction. The English Utilitarians, Volume II (of 3) James Mill
The quickness of Johnson in applying arithmetical tests to careless statements must have been another of the elements in the fear, respect and confidence he inspired. Dr. Johnson and His Circle
At this age, the Neolithic, arithmetical questions arising in the course of life would necessarily assume a vocal value instead of a digital one. A History of Nursery Rhymes
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 with solemn-eyed interest. Romola
They assembled the data and with tables and arithmetical machines turned it into graphs. The Ultimate Weapon
He had a great advantage in that he had been trained in all the common branches better than most masters, and was regarded as a miracle of skill in arithmetical calculations. The Hoosier School-boy
His wealth increased not in arithmetical but in geometrical progression. Godfrey Morgan A Californian Mystery
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
It was not necessary to be told that the Turners' life was a close arithmetical problem. Ted and the Telephone
A very small amount of arithmetical knowledge will enable one to figure up what the American Fluming Company made by their summer's work. The Shirley Letters from California Mines in 1851-52
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. The War Trail The Hunt of the Wild Horse
For they felt that their combination was not an arithmetical one; its truth was deeper than the truth of number. Creative Unity
The regular circle-squarers attempt the arithmetical quadrature, which has long been proved to be impossible. A Budget of Paradoxes, Volume I
It is based on mechanical or arithmetical associations—not founded on nature, and is of very small practical utility. A Book for All Readers An Aid to the Collection, Use, and Preservation of Books and the Formation of Public and Private Libraries
When he finally gave it up, it was not so much because of the simple arithmetical impossibility of the job as because he realized that it didn't matter. The Worshippers
The terms you offer are so very inferior to what we had expected that I am apprehensive of having made some great error in my arithmetical calculation. Jane Austen, Her Life and Letters A Family Record
The book contains a good deal of arithmetical calculation. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield
His work is of the extreme of absurdity: he makes a distinction between geometrical and arithmetical fractions, and evolves theorems from it. A Budget of Paradoxes, Volume I
No system which makes mere arithmetical progression a substitute for intrinsic qualities can long prove satisfactory. A Book for All Readers An Aid to the Collection, Use, and Preservation of Books and the Formation of Public and Private Libraries
Seldom could the young engineer rise from his arithmetical calculations until midnight. Charles Carleton Coffin War Correspondent, Traveller, Author, and Statesman
A book of arithmetical tables and calculations from his pen, entitled, "The Corn-dealer's Assistant," was long recognised as an almost indispensable guide for tenant farmers. The Modern Scottish Minstrel, Volume V. The Songs of Scotland of the Past Half Century
The arithmetical application of the term was similar. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield
Let us turn now to another collection of mine, arithmetical books, of which I have published a list. A Budget of Paradoxes, Volume I
Furthermore, the advance is by geometrical, and not merely by arithmetical progression. The Moral Economy
Why not, as the cabalists had it, a Figure, arithmetical or geometrical, a Sound.... The Wind Bloweth
If the Kaiser announces that two and two make five, jail awaits the subject who dares to ridicule that novel arithmetical proposition. Face to Face with Kaiserism
From this last alternating flicker of rationality, the miser fell back, sputtering, into his previous gibberish, but it took now an arithmetical turn. The Confidence-Man
The two collections are similarly circumstanced as to new and old books; the paradoxes had no care given to the collection of either; the arithmetical books equal care to both. A Budget of Paradoxes, Volume I
He had hated writing and figures, and now visions of ledgers, cash-books, invoice-books and similar literature with endless arithmetical calculations began to float before his mental vision. The Iron Horse
The South is not sufficiently arithmetical," he said; "statistics are dry, but they are very useful on the eve of a great war. Before the Dawn A Story of the Fall of Richmond
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. Shenac's Work at Home
And not seldom the simple relations of arithmetical number are beyond the grasp of the applicant. New Ideals in Rural Schools
“I don’t seem to care much about your arithmetical prowess,” father said, smiling. The Heart of Una Sackville
Hopping races, races complicated by arithmetical and other such baffling problems, were also devised, and at the last moment Darsie came forward with a thrilling novelty. A College Girl
At which arithmetical discovery the school immediately leapt from the depths of despondency to the heights of confidence, and considered the match as good as won before it was fairly begun. The Willoughby Captains
Finally an arithmetical problem on the board caught my eye, and was surreptitiously transferred to my note-book for future reference. A Woman's Journey through the Philippines On a Cable Ship that Linked Together the Strange Lands Seen En Route
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. Short Studies on Great Subjects
As Galton showed, a person can be taught to carry on arithmetical processes by the use of smell imagery. The Measurement of Intelligence An Explanation of and a Complete Guide for the Use of the Stanford Revision and Extension of the Binet-Simon Intelligence Scale
The solution of the problem came to him all of a sudden—as the solution of arithmetical problems often does come. The Borough Treasurer
Information as to arithmetical rules and tables, as to weights and measures, and other arithmetical facts, is easily converted into knowledge of those facts, but it is not easily converted into knowledge of arithmetic. What Is and What Might Be A Study of Education in General and Elementary Education in Particular
Every arithmetical or geometrical theorem became in this view another window giving light into the secret heart of things. A Short History of Greek Philosophy
The city is regularly laid out, the street and house number plan being arranged with arithmetical exactness. The True Story of Our National Calamity of Flood, Fire and Tornado
They contain square, diamond, round field, vocabulary list, fables, sentences, digits, and selections for memory tests, the reading selection barred for scoring, the dissected sentences, arithmetical problems, etc. The Measurement of Intelligence An Explanation of and a Complete Guide for the Use of the Stanford Revision and Extension of the Binet-Simon Intelligence Scale
She tried some mathematical gymnastics now and bumped her arithmetical nose. Gigolo
Such a boy, though his head may be stuffed with arithmetical information, has no knowledge of arithmetic. What Is and What Might Be A Study of Education in General and Elementary Education in Particular
We shall not be overstating the case if we say that as attention increases in arithmetical ratio, mental efficiency increases in geometrical ratio. The Mind and Its Education
Most of the arithmetical feats of trained animals are hoaxes regulated by their sense of smell, sight, touch and taste. The Human Side of Animals
The boys were decidedly better in arithmetical reasoning, giving differences between a president and a king, solving the form board, making change, reversing hands of clock, finding similarities, and solving the “induction test.” The Measurement of Intelligence An Explanation of and a Complete Guide for the Use of the Stanford Revision and Extension of the Binet-Simon Intelligence Scale
Meanwhile Babbage had conceived the idea of a much more powerful machine, the "analytical engine," intended to perform any series of possible arithmetical operations. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 "Bulgaria" to "Calgary"
Even knowledge of number is the outcome, not of definite dogmatic instruction in the arithmetical rules and tables, but of the growth of the arithmetical sense. What Is and What Might Be A Study of Education in General and Elementary Education in Particular
A teacher went forth to teach, that is, to scatter information, facts:--arithmetical, historical, geographical, linguistic facts. Modern American Prose Selections
All such careful arithmetical computations add clearness and definiteness to historical and geographical ideas. The Elements of General Method Based on the Principles of Herbart
Fairly rapid and accurate in number combinations, but cannot solve arithmetical problems which require any reasoning. The Measurement of Intelligence An Explanation of and a Complete Guide for the Use of the Stanford Revision and Extension of the Binet-Simon Intelligence Scale
On the whitewashed walls were coloured maps of Galicia and tables of the Austrian kings and queens; on the blackboard still an unfinished arithmetical sum and on the master's desk a pile of exercise books. The Dark Forest
This reductio ad absurdum of legalism is exactly paralleled, in many of our elementary schools, in the answers to arithmetical questions given by the children. What Is and What Might Be A Study of Education in General and Elementary Education in Particular
S. A. Courtis' investigation of the arithmetical abilities of the children in the schools of New York City will be a good beginning. Applied Eugenics
In the early part of "the steelyard and arithmetical war," as Cooper phrased it, which has raged with extreme violence ever since the peace of Ghent, James bore a gallant and conspicuous part. James Fenimore Cooper American Men of Letters
The number 4 occupies an arithmetical middle-ground between the unit and 7, inasmuch as it is as much over 1, as it is under 7, the difference each way being 3. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry
According to the arithmetical system in use among all civilised peoples, that would be manifestly impossible. The Patient Observer And His Friends
After the arithmetical lesson come, as a rule, lessons in "Reading" and "Writing"—in reading in some classes, in writing in others. What Is and What Might Be A Study of Education in General and Elementary Education in Particular
He measured the achievements of pupils in responding to eight tests, which were believed to give a fair idea of the pupil's capacity for solving simple arithmetical problems. Applied Eugenics
The error made by pedantic teachers is to demand too much Form; to insist that a piece of music shall be a model of arithmetical adjustment. Lessons in Music Form A Manual of Analysis of All the Structural Factors and Designs Employed in Musical Composition
The science of numbers represented not only arithmetical qualities, but also all grandeur, all proportion. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry
The mental process by which certain gifted arithmetical computers reach almost in an instant the results of the most complicated calculations is a psychological problem of great interest, which has never been investigated. The Reminiscences of an Astronomer
He reacted well to the intellectual tests, with the exception of the arithmetical problems, which he did poorly. Studies in Forensic Psychiatry
If the deterioration of the race could be measured, it might even be found to grow in a series of figures representing arithmetical progression. Applied Eugenics
The power of performing simple arithmetical operations may be tested. Aids to Forensic Medicine and Toxicology
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. The Age of the Reformation
The result of this will be equality according to the "arithmetical mean" which is gauged according to equal excess in quantity. Summa Theologica, Part II-II (Secunda Secundae) Translated by Fathers of the English Dominican Province
It will do, then," said Alice; "and I have no doubt we shall untie the knot of those arithmetical problems very soon. The Wide, Wide World
To assume that the resemblance between parent and offspring in arithmetical ability is due to association, training and imitation is not plausible. Applied Eugenics
There was no arithmetical autumn, but there was a spiritual one. The Victorian Age in Literature
In a few weeks’ time we can very much increase our speed and accuracy in adding, or in the other arithmetical operations. The Science of Human Nature A Psychology for Beginners
The pupil will see that he has not the necessary arithmetical knowledge to solve the problem and will then be in the proper mental attitude for the lesson. Ontario Normal School Manuals: Science of Education
The premises, however, are really arithmetical; for 'most' means 'more than half,' or more than 50 per cent. Logic Deductive and Inductive
The Bishop of Natal has thrown out in a crude form the critical results of the inquiries of the Germans, coupled with certain arithmetical calculations, for which he has a special aptitude. Froude's Essays in Literature and History With Introduction by Hilaire Belloc
The arithmetical machine produces effects which approach nearer to thought than all the actions of animals. Pascal's Pensées
A few simple arithmetical problems comprise all of the mathematics of the book. Scientific American Supplement, No. 1178, June 25, 1898
Whether it be the understanding of a plant, an animal, a city, a picture, a poem, an historical event, an arithmetical problem, or a scientific experiment, the process is always the same. Ontario Normal School Manuals: Science of Education
An arithmetical computation, how much spent in election of Commons, and pensions and foreign courts: how then can our debts be paid? The Prose Works of Jonathan Swift, D.D. - Volume 07 Historical and Political Tracts-Irish
With further demur, elevation of eyebrows, puckering of brows and hesitancy the canteen proprietor would complete a mental arithmetical sum in currency exchange. Sixteen Months in Four German Prisons Wesel, Sennelager, Klingelputz, Ruhleben
In this J—— and I heartily concurred, for the simplest of arithmetical calculations would show that it would otherwise prove expensive. The Smiling Hill-Top And Other California Sketches
The boy seemed to be engaged in an arithmetical calculation. Jerome, A Poor Man A Novel
For instance, arithmetical problems given to boys might deal with activities interesting to boys, and those to girls might deal with activities interesting to girls. Ontario Normal School Manuals: Science of Education
Shall it be historical, geographical, scientific, or arithmetical? International Conference Held at Washington for the Purpose of Fixing a Prime Meridian and a Universal Day. October, 1884. Protocols of the Proceedings
We can suppose this arithmetical process to operate upon past duration or upon future duration, and there is no limit to the numbers that we can write down. Practical Essays
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. Sign Language Among North American Indians Compared With That Among Other Peoples And Deaf-Mutes First Annual Report of the Bureau of Ethnology to the Secretary of the Smithsonian Institution, 1879-1880, Government Printing Office, Washington, 1881, pages 263-552
Very much of the economists’ case rests indeed upon the argument drawn from the outright cut and the arithmetical relief. Essays in Liberalism Being the Lectures and Papers Which Were Delivered at the Liberal Summer School at Oxford, 1922
Let me assume now, that having dreamt a dream, or heard of a death, or I care not what, you wish to stake your money on the arithmetical signification of the occurrence.  Rome in 1860
I had simply performed a few arithmetical processes which any schoolboy might have done as well. The Quest of the Simple Life
‘Certainly it is very considerable,’ Merton said, after a few minutes passed in arithmetical calculation.  The Disentanglers
He tested for rapidity in arithmetical processes, for the papers sent to his office gave him only an index of accuracy. Craftsmanship in Teaching
The arguments based upon arithmetical or actuarial superiority of the levy for your pocket and for mine may therefore rather go by the board. Essays in Liberalism Being the Lectures and Papers Which Were Delivered at the Liberal Summer School at Oxford, 1922
Once these decisions are made the succeeding arithmetical calculations are simple and easy. Wage Earning and Education
His partner in penury, the miser, was seated at an old oak table making arithmetical calculations upon a bit of broken slate. Mark Hurdlestone Or, The Two Brothers
His reason is that they are the type of irreductibility: each of them is a kind of ultimate arithmetical fact. Auguste Comte and Positivism
I suppose everybody will unhesitatingly allow that a great mathematician could hardly by any conceivable chance arise among the South African Bushmen, who cannot understand the arduous arithmetical proposition that two and two make four. Falling in Love With Other Essays on More Exact Branches of Science
Compare the arithmetical operations, on the same sum of money expressed in this form, and expressed in the pound sterling and its divisions. Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson, Volume 1
Some of the occupations, such as cutting, involve a considerable amount of arithmetical computation. Wage Earning and Education
For centuries it has been a favourite method of propounding arithmetical puzzles to pose them in the form of questions as to the age of an individual. Amusements in Mathematics
In referring to another boy's attempt at solving the arithmetical puzzles, he mentions the cymbals, combined with a faint memory of St. Paul. Charles Dickens and Music
The immediate occasion of the movement was the eccentricity of Bishop Colenso—"the arithmetical Bishop who could not forgive Moses for having written a Book of Numbers." Prime Ministers and Some Others A Book of Reminiscences
Dear Mrs. Jameson, Thank you for your money; it is necessary to be arithmetical if one means to be economical, and I receive your tribute with more pleasure than that of a duchess. Records of a Girlhood
The results of the arithmetical teaching astounded me, yet I could not follow it into its larger applications and wider extent. Autobiography of Friedrich Froebel translated and annotated by Emilie Michaelis ... and H. Keatley Moore.
In how many different ways may we play six dominoes, from an ordinary box of twenty-eight, so that the numbers on them may lie in arithmetical progression? Amusements in Mathematics
The last-mentioned observer had had very little training in arithmetical work, but perhaps that gave a fairer comparison. Scientific American Supplement, No. 421, January 26, 1884
But it is not an arithmetical inequality with which we ought to trouble ourselves. The Works of the Right Honourable Edmund Burke, Vol. 07 (of 12)
Inheriting a legacy of scientific knowledge, astronomical and arithmetical, from the Proto-Chaldaeans, they seem to have not only maintained but considerably advanced these sciences by their own efforts. The Seven Great Monarchies Of The Ancient Eastern World, Vol 4. (of 7): Babylon The History, Geography, And Antiquities Of Chaldaea, Assyria, Babylon, Media, Persia, Parthia, And Sassanian or New Persian Empire; With Maps and Illustrations.
Footnote 45: One of Pestalozzi's teachers, to whom especially was confided the arrangement of the arithmetical studies. Autobiography of Friedrich Froebel translated and annotated by Emilie Michaelis ... and H. Keatley Moore.
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