英语词汇“numeration”造句子简单的方法、技巧、例句及翻译-英语例句辞典

This number was so large that the Greek system of numeration was unable to handle it; Archimedes had to invent a whole new method of denoting really huge numbers. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z

It was a blank spot in the Babylonian system of numeration. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z

In 1931 Cœdès concluded that the numeration system used in the inscribed date, 605, was decimal in nature and positional in conception and that the central glyph was an empty placeholder, a zero. The Elusive Origin of Zero 2022-07-28T04:00:00Z

Although only 0.02% of the US population will be counted through this “in person numeration”, the majority of them will be Indigenous. ‘We are still here’: Native Americans fight to be counted in US census 2020-01-15T05:00:00Z

A variation of Raddix — radix — is a mathematical term for the basis of a system of numeration. Cameron Diaz, Benji Madden welcome a baby girl with a very Hollywood name 2020-01-03T05:00:00Z

The second Pan American copyright treaty, according to this numeration, was that adopted at the Pan American conference in Mexico City, signed January 27, 1902, at the same time with the patent and trade-mark treaty. Copyright: Its History and Its Law 2012-04-23T02:00:25.937Z

It may be added that the double system of accentuation of the Decalogue in the Hebrew Bible seems to preserve traces of the ancient uncertainty concerning the numeration. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 10 "David, St" to "Demidov" 2012-02-17T03:00:33.923Z

Researchers at the Center for Civilizational Dialogue at the University of Malaya in Kuala Lumpur have been investigating the history of early numeration systems of Southeast Asia. The Elusive Origin of Zero 2022-07-28T04:00:00Z

I soon got to do the most difficult sums, always in my head, for I knew nothing of figures beyond numeration. Human Personality and its Survival of Bodily Death 2012-01-05T03:00:42.307Z

On this law are based the consequent laws of numeration, then of addition, and of the whole of mathematics. Fables for Children, Stories for Children, Natural Science Stories, Popular Education, Decembrists, Moral Tales 2011-11-17T03:00:35.327Z

You felt you were going up in the social numeration table of life. The International Monthly, Volume 4, No. 4, November 1, 1851 2011-11-03T02:00:15.113Z

And the other articles of numeration, with all their derivations, definitions, and the passages which are quoted to support them, would fill a sixpenny pamphlet. Deformities of Samuel Johnson, Selected from his Works 2011-10-18T02:00:19.057Z

The words reason and reasoning, I believe, in most languages, strictly imply numeration, reckoning, proportion; the Latin ratio, ratiocinor, ratiocinator are sufficient examples. Observations on Madness and Melancholy Including Practical Remarks on those Diseases together with Cases and an Account of the Morbid Appearances on Dissection 2011-08-23T02:00:29.227Z

In arithmetic I also have many other exercises, such as arranging beans in certain numerical forms; and on the black-board I teach numeration in a simple way. Guide to the Kindergarten and Intermediate Class and Moral Culture of Infancy. 2011-06-30T02:00:25.950Z

The table of contents did not exactly match the numeration of the pages. Studies in Old Testament History 2011-06-17T02:00:16.420Z

For, in the first place, such numbers are easily devised and transferred to the obscure early stages of tradition, when the art of numeration is once become familiar. The Plurality of Worlds 2011-06-01T02:00:23.787Z

Homogenetic Enumeration: A Numerical System Guaranteed to Move You While this chart may look like a series of exercises or dance moves, it actually depicts a system of numeration called “Homogenetic enumeration.” Homogenetic Enumeration: A Numerical System Guaranteed to Move You 2011-05-31T22:15:00.253Z

But even to those who are instructed in numeration, there is much that is mysterious and unaccountable, much that only an advanced mathematician can explain to his own satisfaction. Curious Myths of the Middle Ages 2011-05-19T02:00:06.517Z

Page 286, second note.–Subscription is called in German pr�numeration, because the subscribers are numbered, or the money counted out, beforehand. Hesperus or Forty-Five Dog-Post-Days Vol. II A Biography 2011-05-14T02:00:08.440Z

One might, of course, do better business by dropping it as a Scottish review, and starting another English magazine in London under the same name, and with a continuity of numeration. John Patrick, Third Marquess of Bute, K.T. A Memoir 2011-04-18T02:00:10.453Z

Duodecimal System, in numeration, a system of numbers the scale of which is twelve. The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde 2011-04-14T02:00:57.977Z

The latter includes also the simple four-part Chorals from the Oratorios and Cantatas; hence the numeration of that volume and B.G. Johann Sebastian Bach 2011-01-26T03:00:27.060Z

Printed leaf numeration is found as early as 1470, and became common about ten years later. Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 7 "Bible" to "Bisectrix" 2010-12-20T17:12:05.780Z

Discrepancies between Numeration and Notation.—Although numeration and notation are both ostensibly on the denary system, they are not always exactly parallel. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"

Unless numeration is to issue in nonsense, it must be conducted on conditions. An Essay In Aid Of A Grammar Of Assent

Early in the 1st century we find a typical form of bowl in use, which, following the numeration of Dr Dragendorff’s treatise, is usually spoken of as No. 29. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 6 "Celtes, Konrad" to "Ceramics"

This method of numeration dates from the time of Guzman Blanco, but the common people adhere to the names bestowed upon the city squares in earlier times. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades"

After the size and sequence of the gatherings has been stated, the total number of leaves should be noted, with a mention of any numeration of them given in the book. Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 7 "Bible" to "Bisectrix" 2010-12-20T17:12:05.780Z

The numeration was in the denary scale, so that it did not agree absolutely with the notation. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"

The woman shifted, checking something upon her fingers, while her lips moved; she was not counting, Constance thought; she was more likely aiding herself in translating something from Indian numeration into English. The Indian Drum

In the majority of cases the ease of numeration afforded by familiarity with the decimal system is the most important 4 consideration. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 1 "Calhoun" to "Camoens"

"Good heaven, child! if Mr. Jefferson had his will with your numeration, I should be zero, and he the angel of arithmetic alone knows what." The Red City A Novel of the Second Administration of President Washington

Where some leaves of a book are numbered and others not, if the reference is to the printed numeration this should be stated. Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 7 "Bible" to "Bisectrix" 2010-12-20T17:12:05.780Z

In other words, the denary scale, though adopted in notation and in numeration, does not arise in the corresponding mental concept until we get beyond 100. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"

A decimal system of numeration was used, with numbers going up to 10,000. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 6 "Coucy-le-Château" to "Crocodile"

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

The quipu was originally only a means of numeration and keeping accounts, thus: a single knot = 10 a double knot = 100 a triple knot = 1,000 two singles = 20 two doubles = 200 etc. The Story of Extinct Civilizations of the West

The method of numeration is to count the households, and from that to make a return of the total inhabitants of each province. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 2 "Chicago, University of" to "Chiton"

Terms used.—The representation of numbers by spoken sounds is called numeration; their representation by written signs is called notation. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"

This paucity of numerals is South American as well—the Brazilian and Carib, and other systems of numeration being equally limited. The Ethnology of the British Colonies and Dependencies

By the numeration of the inhabitants of this city, recently published, the progress of population for the last 5 years appears to be at the rate of 25 per cent. The Story of a New York House

The children possess all the instinctive knowledge necessary as a preparation for clear ideas on numeration. Dr. Montessori's Own Handbook

Our pupil may next be taught what is called numeration, which he cannot fail to understand, and in which he should be frequently exercised. Practical Education, Volume II

The systems adopted for numeration and for notation do not always agree with one another; nor do they always correspond with the idea which the numbers subjectively present. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip"

Notation he has none; and the numeration is of the rudest kind. The Ethnology of the British Colonies and Dependencies

And then are all these things thus ordained; truly Himself existeth not in numeration, nor in system, nor in computation, but in the judgment of the heart. Hebrew Literature

Thus, in order to give an imposing and apparently solid basis to their astrological doctrines, the Chaldæans invented such a numeration as would permit really intricate computations to be made. A History of Art in Chaldæa & Assyria, v. 1

Note.—The poem numbers 1864 lines, the four new lines at the end of Canto I. stanza xi. being included in the numeration. The Works of Lord Byron, Vol. 7. Poetry

All "succession" is finite and temporal, capable of numeration, and therefore can not be eternal. Christianity and Greek Philosophy or, the relation between spontaneous and reflective thought in Greece and the positive teaching of Christ and His Apostles

These divide into eight, sixteen, and so on far beyond human powers of numeration, until the beginnings of all the organs of the tadpole 104 are formed. The Log of the Sun A Chronicle of Nature's Year

All can feel the impracticability of the Hubongramillposanfy numeration, and the absurdity of the equality of contour of a regular pentagon and hexagon in one and the same circle. A Budget of Paradoxes, Volume II

In vases of agate were heaped diamonds beyond numeration, the smallest of which was larger than a pigeon's egg. Eastern Tales by Many Story Tellers

The poem numbers 1863 lines, the additional lines not being included in the numeration. The Works of Lord Byron, Vol. 7. Poetry

The want of decimal notation, and the consequent clumsiness of the system of numeration, would go far to preclude the improvement of arithmetic, or any science into which calculation entered. The International Magazine, Volume 2, No. 3, February, 1851

And Mr. Pritchett put great stress on the numeration of his patron's presumed wealth. The Bertrams

At the end of the treatise there follows a note on merchants’ and auditors’ ways of setting down sums, and lastly, a system of digital numeration which seems of great antiquity and almost world-wide extension. The Earliest Arithmetics in English

They form part of that sexagesimal system of numeration which lay at the root of Babylonian mathematics and was as old as the invention of writing. Babylonians and Assyrians, Life and Customs

This arises from their general method of numeration—five is represented by one hand; two hands, ten; then they use the toes, and call twenty by the name of “loko,” or man. The Western World Picturesque Sketches of Nature and Natural History in North and South America

It is probable, however, that no individual will read this book, who has not some knowledge of the fundamental branches; numeration, addition, subtraction, multiplication, and division. The Young Man's Guide

No other language than the Sanskrit has made such consistent application, in numeration, of the decimal system of numbers. The Hindu-Arabic Numerals

The symbols, then, which were used in the aforesaid monarchies for the numeration of their years were these four: Tecpatl, that signifies flint; Calli, the house; Tochtli, the rabbit; and Acatl, the reed. Notes on Certain Maya and Mexican Manuscripts Third Annual Report of the Bureau of Ethnology to the Secretary of the Smithsonian Institution, 1881-82, Government Printing Office, Washington, 1884, pages 3-66

The Mayas had a mathematical turn, and possessed a developed system of numeration. The Maya Chronicles Brinton's Library Of Aboriginal American Literature, Number 1

In their method of numeration, especially, the first four numbers are represented by simple words. The Western World Picturesque Sketches of Nature and Natural History in North and South America

The numeration by signatures is as follows: + iiij; a, 8; b—p, 6 s; q, 7; r, s, t, v, x, y, z, &, 6 s; A—Y, 6 s. The Ship of Fools, Volume 1

The introduction of myriads as in the Greek, and thousands as in Arabic and in modern numeration, is really a step away from a decimal scheme. The Hindu-Arabic Numerals

The use of grouping is to economize speech in numeration, and writing in notation, by the exercise of the memory. The Atlantic Monthly, Volume 05, No. 28, February, 1860

Above forty, three different methods can be used to continue the numeration. The Maya Chronicles Brinton's Library Of Aboriginal American Literature, Number 1

With regard to the numeration of the years previous to the commencement of the era, the practice is not uniform. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 "Bulgaria" to "Calgary"

Wherefore He determined that the numerations first emanated, from Benignity downward, should be destroyed and shattered by the excessive influx of His Light; His intention being to create of them the worlds of Evils. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry

Their system of numeration is quinary, as will appear from the following list: 1. The Seminole Indians of Florida Fifth Annual Report of the Bureau of Ethnology to the Secretary of the Smithsonian Institution, 1883-84, Government Printing Office, Washington, 1887, pages 469-532

As men advanced in the use of numbers, they adopted a group derived from the fingers of both hands; thus ten became the base of numeration. The Atlantic Monthly, Volume 05, No. 28, February, 1860

This system of numeration, advanced by Beltran, appears to have been adopted by all of the later writers, who may have learned the Maya largely from his Grammar. The Maya Chronicles Brinton's Library Of Aboriginal American Literature, Number 1

In like manner the sign x suggests an unknown quantity in relation to the algebraic problem; in relation to phonics it is a double sound; in relation to numeration, the number ten. Ontario Normal School Manuals: Science of Education

The last seven numerations were points, like the first three, each subsisting independently, unsustained by companionship; which was the cause of their dying and being shattered. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry

I have quoted, as a rule, from the Globe edition, and have referred always to its numeration of acts, scenes, and lines. Shakespearean Tragedy Lectures on Hamlet, Othello, King Lear, Macbeth

Notation, like numeration, began with ones, advanced to fives, then to tens, etc. The Atlantic Monthly, Volume 05, No. 28, February, 1860

By their aid another method of numeration was in vogue for counting time. The Maya Chronicles Brinton's Library Of Aboriginal American Literature, Number 1

There is, however, no clx, and ccccxiii is duplicated, errors which balance each other and do not disturb the final numeration. Catalogue of the William Loring Andrews Collection of Early Books in the Library of Yale University

But then, he says, it is absolutely necessary that the basis of numeration should be a prime number. Auguste Comte and Positivism

In counting over a quantity of small articles each tenth, and afterwards each hundredth piece is put aside; which method is consonant with the progress of scientific numeration, and probably gave it origin. The History of Sumatra Containing An Account Of The Government, Laws, Customs And Manners Of The Native Inhabitants

At first sight, the universal use of decimal numeration seems to be an argument in its favor. The Atlantic Monthly, Volume 05, No. 28, February, 1860

It contains 26 leaves, without numeration, and on the 17th this chronicle is inserted without title or prefatory remarks. The Maya Chronicles Brinton's Library Of Aboriginal American Literature, Number 1

The numeration of the Oxford edition of Bishop Fell is, with a few exceptions, quite different. The Ancient Church Its History, Doctrine, Worship, and Constitution

Not only are the first distinct ideas of number co-ordinate with ideas of likeness and equality, but the first efforts at numeration displayed the same relationship. Essays on Education and Kindred Subjects Everyman's Library

It may, indeed, be stated as a universal law, that some practical method of numeration has, in the childhood of every nation or tribe, preceded the formation of numeral words. The Number Concept Its Origin and Development

Even the fingers number eight, and, had there been any reflection used in the adoption of a base of numeration, the thumbs would not have been included. The Atlantic Monthly, Volume 05, No. 28, February, 1860

No proficiency in grammar and arithmetic, no science of numeration and no scheme of prosody, will be here of the least avail. A Study of Shakespeare

That the stock of the common people, in numbers, is not lessened, any more than the causes are impaired, is manifest, without being at the pains of an actual numeration. The Works of the Right Honourable Edmund Burke, Vol. 05 (of 12)

The pupil has already been familiarised with such divisions in numeration, and he now proceeds to a comparison of their several parts, and of the relation of these parts to each other.... Essays on Education and Kindred Subjects Everyman's Library

Practical methods of numeration are many in number and diverse in kind. The Number Concept Its Origin and Development

The idea of changing the base of numeration will appear to most persons as absurd, and its realization as impossible; yet the probability is, it will be done. The Atlantic Monthly, Volume 05, No. 28, February, 1860

They had the decimal numeration, and their year was of three hundred and sixty days. Ten Great Religions An Essay in Comparative Theology

Every thing inclines us to think, that these were the first instruments used by men to assist them in the practice of numeration. A General History and Collection of Voyages and Travels — Volume 13

All numeration was, doubtless, originally performed by the fingers; for the number of the fingers is still the utmost extent of its signification. English Grammar in Familiar Lectures

The variety in practical methods of numeration observed among savage races, and among civilized peoples as well, is so great that any detailed account of them would be almost impossible. The Number Concept Its Origin and Development

In attempting to ascertain these, it will be necessary to consider the uses of numeration and of notation. The Atlantic Monthly, Volume 05, No. 28, February, 1860

Possibly a numeration limited to the first three, four, or five numbers is the effect of intellectual inferiority. Narrative of the Voyage of H.M.S. Rattlesnake, Commanded By the Late Captain Owen Stanley, R.N., F.R.S. Etc. During the Years 1846-1850. Including Discoveries and Surveys in New Guinea, the Louisiade Archipelago, Etc. to Which Is Added the Account of Mr. E.B. Kennedy's Expedition for the Exploration of the Cape York Peninsula. By John Macgillivray, F.R.G.S. Naturalist to the Expedition. — Volume 2

With them also came the decimal numeration algebra, alchemy, chemistry, medicine, cosmology and rhymed poetry. The Shadow of the Cathedral

Never had the numeration table been invested with such significance. Bred in the Bone

A single illustration may be given which typifies all practical methods of numeration. The Number Concept Its Origin and Development

Admitting binary gradation to be proper to weights, measures, and coins, it follows that a corresponding base of numeration and notation must be provided, as that best suited to commerce. The Atlantic Monthly, Volume 05, No. 28, February, 1860

The extent to which the numeration is carried, is a matter of more importance. Narrative of the Voyage of H.M.S. Rattlesnake, Commanded By the Late Captain Owen Stanley, R.N., F.R.S. Etc. During the Years 1846-1850. Including Discoveries and Surveys in New Guinea, the Louisiade Archipelago, Etc. to Which Is Added the Account of Mr. E.B. Kennedy's Expedition for the Exploration of the Cape York Peninsula. By John Macgillivray, F.R.G.S. Naturalist to the Expedition. — Volume 2

We have an instance of this in numeration. The Grammar of English Grammars

Yet what is most remarkable, the latter have an ingenious system of numeration, by which they can compute very high numbers. Personal Memoirs of a Residence of Thirty Years with the Indian Tribes on the American Frontiers

Indeed, the high limit to which some savage races carry their numeration is far more worthy of remark than the entire absence of the number sense exhibited by others of apparently equal intelligence. The Number Concept Its Origin and Development

Previous groupings were for particular numerations; this for numeration in general; being, in fact, the first numeric base,—the quinary. The Atlantic Monthly, Volume 05, No. 28, February, 1860

Binary files contain codes based on the binary numeration system. The Online World

From the variety of the reports, uniformity of nomenclature and numeration is almost impossible. Anomalies and Curiosities of Medicine

This house has since been demolished and rebuilt, and the number has probably been changed in those revolutions of numeration which the streets of Paris undergo. Les Misérables

Our perfect system of numeration enables us to express without difficulty any desired number, no matter how great or how small it be. The Number Concept Its Origin and Development

Consequently, the numeration and notation best suited to commerce will be those which agree best with such a system. The Atlantic Monthly, Volume 05, No. 28, February, 1860

Who blames the Tribunes and the Heralds and the Worlds and the Timeses for vaunting a circulation which seems to defy mortal numeration? Punchinello, Volume 1, No. 04, April 23, 1870

According to Mrs. Stanhope's system, I am sure that he has: for his thousands and tens of thousands, as I am credibly informed, pass the comprehension of the numeration table. Tales and Novels — Volume 03

I chose her by the numeration table: Units, tens, hundreds, thousands, tens of thousands, hundreds of thousands. Tales and Novels — Volume 04

At this point they began to resort to digital numeration also; and any higher number is expressed by that method. The Number Concept Its Origin and Development

Decimal numeration grew out of the fact that each person has ten fingers and thumbs, without reference to science, art, or commerce. The Atlantic Monthly, Volume 05, No. 28, February, 1860

Gallery; numeration and spelling with brass figures and letters. The Infant System For Developing the Intellectual and Moral Powers of all Children, from One to Seven years of Age

Their numeration is the same as in the original. Voyages of Samuel De Champlain — Volume 01

An English dust-cart is a piece of finery, a chef d'auvre of mechanism, compared with them and the horses!—a savage might use their ribs instead of his fingers for a numeration table. Biographia Literaria

This form of numeration is usually, though not always, carried as far as the system extends; and it sometimes leads to curious terms, of which a single illustration will suffice. The Number Concept Its Origin and Development

It may be asked, how a number, hitherto almost entirely overlooked as a base of numeration, is suddenly found to be so well suited to the purpose. The Atlantic Monthly, Volume 05, No. 28, February, 1860

If the children are practised in this way, they will soon learn numeration. The Infant System For Developing the Intellectual and Moral Powers of all Children, from One to Seven years of Age

Their method of numeration was very much like that with the so-called Roman numerals. A Day in Old Athens; a Picture of Athenian Life

Now as none will maintain, that our assurance in a long numeration exceeds probability, I may safely affirm, that there scarce is any proposition concerning numbers, of which we can have a fuller security. A Treatise of Human Nature

But where digital numeration is extensively resorted to, the expressions for higher numbers are likely to become complex, and to act as a real bar to the extension of the system. The Number Concept Its Origin and Development

A change of numeration is truly a more serious matter, yet the difficulty may not be as great as our apprehensions paint it. The Atlantic Monthly, Volume 05, No. 28, February, 1860

He repeated the numeration: the giddy Bellenden lost her patience, and cried out, "Sir, I cannot bear it! if you count your money any more, I will go out of the room." The Letters of Horace Walpole, Earl of Orford — Volume 1

Some savants question the intellectual ability of the blacks because they have not elaborate systems of numeration and notation, which in their life were quite unneeded. The Euahlayi Tribe; a study of aboriginal life in Australia

When a part of the common is enclosed and farmed, the enclosure is called an outset; but the outsets are never included in the numeration of merks of rental land. Second Shetland Truck System Report

Two centuries ago the distinguished philosopher and mathematician, Leibnitz, proposed a binary system of numeration. The Number Concept Its Origin and Development

Life is too short to admit of repeated blunders in the numeration of beans, and this being his one weak point, the dram of ale does its work. Such Is Life

Up to this point I have followed the numeration but from this forwards as the Nights become unconscionably short compared with the intervening dialogues, I have thrown two and sometimes three into one. The Book of the Thousand Nights and a Night — Volume 14

Now Davy had only begun arithmetic on the governess's arrival, but he had learnt numeration and addition in her way. The Stokesley Secret

Had he had the time, he would not have shrunk from plunging into the millions of combinations of which the ten symbols of numeration are capable. Eight Hundred Leagues on the Amazon

In describing the Columbians, Bancroft says: “Systems of numeration are simple, proceeding by fours, fives, or tens, according to the different languages.…” The Number Concept Its Origin and Development

"Augrim" is a corruption of algorithm, the Arabian term for numeration; "augrim stones," therefore were probably marked with numerals, and used as counters. The Canterbury Tales, and Other Poems

This numeration must be absolute, like all else that is true in itself; but it is purely relative, it does not exist absolutely, and no proof can be given of its reality. Seraphita

One of the purest examples of quinary numeration is that furnished by the Betoya scale, already given in full in Chapter III., and briefly mentioned at the beginning of this chapter. The Number Concept Its Origin and Development

It is quite within the bounds of possibility that the prehistoric nations of Europe possessed and used a quinary numeration. The Number Concept Its Origin and Development

All numbers above that point belong rather to decimal than to quaternary numeration. The Number Concept Its Origin and Development

Whatever their form of numeration may have been, it has left no perceptible trace on the languages by which they were succeeded. The Number Concept Its Origin and Development

These families, disseminating their characteristics through their various branches, have produced certain groups of races which exhibit a well-marked tendency, here toward the decimal, and there toward the vigesimal form of numeration. The Number Concept Its Origin and Development

Both decimal and vigesimal numeration are found indifferently in warm and in cold countries; in fruitful and in barren lands; in maritime and in inland regions; and among highly civilized or deeply degraded peoples. The Number Concept Its Origin and Development

In Albania there exists one single fragment of vigesimal numeration, which is probably an accidental compound rather than the remnant of a former vigesimal number system. The Number Concept Its Origin and Development

It will be remembered that none of the European scales showed this persistency, but passed at that point into decimal numeration. The Number Concept Its Origin and Development

But either through contact or affinity, this form of numeration spread in prehistoric times over half or more than half of the western hemisphere. The Number Concept Its Origin and Development

The words for 20, 100, and 200 are clear evidence of vigesimal, while 30 to 90, and the remaining hundreds, are equally unmistakable proof of decimal, numeration. The Number Concept Its Origin and Development

In the Maya scale we have one of the best and most extended examples of vigesimal numeration ever developed by any race. The Number Concept Its Origin and Development

单词	numeration
例句	numeration This number was so large that the Greek system of numeration was unable to handle it; Archimedes had to invent a whole new method of denoting really huge numbers. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z It was a blank spot in the Babylonian system of numeration. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z In 1931 Cœdès concluded that the numeration system used in the inscribed date, 605, was decimal in nature and positional in conception and that the central glyph was an empty placeholder, a zero. The Elusive Origin of Zero 2022-07-28T04:00:00Z Although only 0.02% of the US population will be counted through this “in person numeration”, the majority of them will be Indigenous. ‘We are still here’: Native Americans fight to be counted in US census 2020-01-15T05:00:00Z A variation of Raddix — radix — is a mathematical term for the basis of a system of numeration. Cameron Diaz, Benji Madden welcome a baby girl with a very Hollywood name 2020-01-03T05:00:00Z The second Pan American copyright treaty, according to this numeration, was that adopted at the Pan American conference in Mexico City, signed January 27, 1902, at the same time with the patent and trade-mark treaty. Copyright: Its History and Its Law 2012-04-23T02:00:25.937Z It may be added that the double system of accentuation of the Decalogue in the Hebrew Bible seems to preserve traces of the ancient uncertainty concerning the numeration. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 10 "David, St" to "Demidov" 2012-02-17T03:00:33.923Z Researchers at the Center for Civilizational Dialogue at the University of Malaya in Kuala Lumpur have been investigating the history of early numeration systems of Southeast Asia. The Elusive Origin of Zero 2022-07-28T04:00:00Z I soon got to do the most difficult sums, always in my head, for I knew nothing of figures beyond numeration. Human Personality and its Survival of Bodily Death 2012-01-05T03:00:42.307Z On this law are based the consequent laws of numeration, then of addition, and of the whole of mathematics. Fables for Children, Stories for Children, Natural Science Stories, Popular Education, Decembrists, Moral Tales 2011-11-17T03:00:35.327Z You felt you were going up in the social numeration table of life. The International Monthly, Volume 4, No. 4, November 1, 1851 2011-11-03T02:00:15.113Z And the other articles of numeration, with all their derivations, definitions, and the passages which are quoted to support them, would fill a sixpenny pamphlet. Deformities of Samuel Johnson, Selected from his Works 2011-10-18T02:00:19.057Z The words reason and reasoning, I believe, in most languages, strictly imply numeration, reckoning, proportion; the Latin ratio, ratiocinor, ratiocinator are sufficient examples. Observations on Madness and Melancholy Including Practical Remarks on those Diseases together with Cases and an Account of the Morbid Appearances on Dissection 2011-08-23T02:00:29.227Z In arithmetic I also have many other exercises, such as arranging beans in certain numerical forms; and on the black-board I teach numeration in a simple way. Guide to the Kindergarten and Intermediate Class and Moral Culture of Infancy. 2011-06-30T02:00:25.950Z The table of contents did not exactly match the numeration of the pages. Studies in Old Testament History 2011-06-17T02:00:16.420Z For, in the first place, such numbers are easily devised and transferred to the obscure early stages of tradition, when the art of numeration is once become familiar. The Plurality of Worlds 2011-06-01T02:00:23.787Z Homogenetic Enumeration: A Numerical System Guaranteed to Move You While this chart may look like a series of exercises or dance moves, it actually depicts a system of numeration called “Homogenetic enumeration.” Homogenetic Enumeration: A Numerical System Guaranteed to Move You 2011-05-31T22:15:00.253Z But even to those who are instructed in numeration, there is much that is mysterious and unaccountable, much that only an advanced mathematician can explain to his own satisfaction. Curious Myths of the Middle Ages 2011-05-19T02:00:06.517Z Page 286, second note.–Subscription is called in German pr�numeration, because the subscribers are numbered, or the money counted out, beforehand. Hesperus or Forty-Five Dog-Post-Days Vol. II A Biography 2011-05-14T02:00:08.440Z One might, of course, do better business by dropping it as a Scottish review, and starting another English magazine in London under the same name, and with a continuity of numeration. John Patrick, Third Marquess of Bute, K.T. A Memoir 2011-04-18T02:00:10.453Z Duodecimal System, in numeration, a system of numbers the scale of which is twelve. The New Gresham Encyclopedia Volume 4, Part 1: Deposition to Eberswalde 2011-04-14T02:00:57.977Z The latter includes also the simple four-part Chorals from the Oratorios and Cantatas; hence the numeration of that volume and B.G. Johann Sebastian Bach 2011-01-26T03:00:27.060Z Printed leaf numeration is found as early as 1470, and became common about ten years later. Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 7 "Bible" to "Bisectrix" 2010-12-20T17:12:05.780Z Discrepancies between Numeration and Notation.—Although numeration and notation are both ostensibly on the denary system, they are not always exactly parallel. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip" Unless numeration is to issue in nonsense, it must be conducted on conditions. An Essay In Aid Of A Grammar Of Assent Early in the 1st century we find a typical form of bowl in use, which, following the numeration of Dr Dragendorff’s treatise, is usually spoken of as No. 29. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 6 "Celtes, Konrad" to "Ceramics" This method of numeration dates from the time of Guzman Blanco, but the common people adhere to the names bestowed upon the city squares in earlier times. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" After the size and sequence of the gatherings has been stated, the total number of leaves should be noted, with a mention of any numeration of them given in the book. Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 7 "Bible" to "Bisectrix" 2010-12-20T17:12:05.780Z The numeration was in the denary scale, so that it did not agree absolutely with the notation. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip" The woman shifted, checking something upon her fingers, while her lips moved; she was not counting, Constance thought; she was more likely aiding herself in translating something from Indian numeration into English. The Indian Drum In the majority of cases the ease of numeration afforded by familiarity with the decimal system is the most important 4 consideration. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 1 "Calhoun" to "Camoens" "Good heaven, child! if Mr. Jefferson had his will with your numeration, I should be zero, and he the angel of arithmetic alone knows what." The Red City A Novel of the Second Administration of President Washington Where some leaves of a book are numbered and others not, if the reference is to the printed numeration this should be stated. Encyclopaedia Britannica, 11th Edition, Volume 3, Slice 7 "Bible" to "Bisectrix" 2010-12-20T17:12:05.780Z In other words, the denary scale, though adopted in notation and in numeration, does not arise in the corresponding mental concept until we get beyond 100. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip" A decimal system of numeration was used, with numbers going up to 10,000. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 6 "Coucy-le-Château" to "Crocodile" 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 The quipu was originally only a means of numeration and keeping accounts, thus: a single knot = 10 a double knot = 100 a triple knot = 1,000 two singles = 20 two doubles = 200 etc. The Story of Extinct Civilizations of the West The method of numeration is to count the households, and from that to make a return of the total inhabitants of each province. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 2 "Chicago, University of" to "Chiton" Terms used.—The representation of numbers by spoken sounds is called numeration; their representation by written signs is called notation. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip" This paucity of numerals is South American as well—the Brazilian and Carib, and other systems of numeration being equally limited. The Ethnology of the British Colonies and Dependencies By the numeration of the inhabitants of this city, recently published, the progress of population for the last 5 years appears to be at the rate of 25 per cent. The Story of a New York House The children possess all the instinctive knowledge necessary as a preparation for clear ideas on numeration. Dr. Montessori's Own Handbook Our pupil may next be taught what is called numeration, which he cannot fail to understand, and in which he should be frequently exercised. Practical Education, Volume II The systems adopted for numeration and for notation do not always agree with one another; nor do they always correspond with the idea which the numbers subjectively present. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5 "Arculf" to "Armour, Philip" Notation he has none; and the numeration is of the rudest kind. The Ethnology of the British Colonies and Dependencies And then are all these things thus ordained; truly Himself existeth not in numeration, nor in system, nor in computation, but in the judgment of the heart. Hebrew Literature Thus, in order to give an imposing and apparently solid basis to their astrological doctrines, the Chaldæans invented such a numeration as would permit really intricate computations to be made. A History of Art in Chaldæa & Assyria, v. 1 Note.—The poem numbers 1864 lines, the four new lines at the end of Canto I. stanza xi. being included in the numeration. The Works of Lord Byron, Vol. 7. Poetry All "succession" is finite and temporal, capable of numeration, and therefore can not be eternal. Christianity and Greek Philosophy or, the relation between spontaneous and reflective thought in Greece and the positive teaching of Christ and His Apostles These divide into eight, sixteen, and so on far beyond human powers of numeration, until the beginnings of all the organs of the tadpole 104 are formed. The Log of the Sun A Chronicle of Nature's Year All can feel the impracticability of the Hubongramillposanfy numeration, and the absurdity of the equality of contour of a regular pentagon and hexagon in one and the same circle. A Budget of Paradoxes, Volume II In vases of agate were heaped diamonds beyond numeration, the smallest of which was larger than a pigeon's egg. Eastern Tales by Many Story Tellers The poem numbers 1863 lines, the additional lines not being included in the numeration. The Works of Lord Byron, Vol. 7. Poetry The want of decimal notation, and the consequent clumsiness of the system of numeration, would go far to preclude the improvement of arithmetic, or any science into which calculation entered. The International Magazine, Volume 2, No. 3, February, 1851 And Mr. Pritchett put great stress on the numeration of his patron's presumed wealth. The Bertrams At the end of the treatise there follows a note on merchants’ and auditors’ ways of setting down sums, and lastly, a system of digital numeration which seems of great antiquity and almost world-wide extension. The Earliest Arithmetics in English They form part of that sexagesimal system of numeration which lay at the root of Babylonian mathematics and was as old as the invention of writing. Babylonians and Assyrians, Life and Customs This arises from their general method of numeration—five is represented by one hand; two hands, ten; then they use the toes, and call twenty by the name of “loko,” or man. The Western World Picturesque Sketches of Nature and Natural History in North and South America It is probable, however, that no individual will read this book, who has not some knowledge of the fundamental branches; numeration, addition, subtraction, multiplication, and division. The Young Man's Guide No other language than the Sanskrit has made such consistent application, in numeration, of the decimal system of numbers. The Hindu-Arabic Numerals The symbols, then, which were used in the aforesaid monarchies for the numeration of their years were these four: Tecpatl, that signifies flint; Calli, the house; Tochtli, the rabbit; and Acatl, the reed. Notes on Certain Maya and Mexican Manuscripts Third Annual Report of the Bureau of Ethnology to the Secretary of the Smithsonian Institution, 1881-82, Government Printing Office, Washington, 1884, pages 3-66 The Mayas had a mathematical turn, and possessed a developed system of numeration. The Maya Chronicles Brinton's Library Of Aboriginal American Literature, Number 1 In their method of numeration, especially, the first four numbers are represented by simple words. The Western World Picturesque Sketches of Nature and Natural History in North and South America The numeration by signatures is as follows: + iiij; a, 8; b—p, 6 s; q, 7; r, s, t, v, x, y, z, &, 6 s; A—Y, 6 s. The Ship of Fools, Volume 1 The introduction of myriads as in the Greek, and thousands as in Arabic and in modern numeration, is really a step away from a decimal scheme. The Hindu-Arabic Numerals The use of grouping is to economize speech in numeration, and writing in notation, by the exercise of the memory. The Atlantic Monthly, Volume 05, No. 28, February, 1860 Above forty, three different methods can be used to continue the numeration. The Maya Chronicles Brinton's Library Of Aboriginal American Literature, Number 1 With regard to the numeration of the years previous to the commencement of the era, the practice is not uniform. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 "Bulgaria" to "Calgary" Wherefore He determined that the numerations first emanated, from Benignity downward, should be destroyed and shattered by the excessive influx of His Light; His intention being to create of them the worlds of Evils. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry Their system of numeration is quinary, as will appear from the following list: 1. The Seminole Indians of Florida Fifth Annual Report of the Bureau of Ethnology to the Secretary of the Smithsonian Institution, 1883-84, Government Printing Office, Washington, 1887, pages 469-532 As men advanced in the use of numbers, they adopted a group derived from the fingers of both hands; thus ten became the base of numeration. The Atlantic Monthly, Volume 05, No. 28, February, 1860 This system of numeration, advanced by Beltran, appears to have been adopted by all of the later writers, who may have learned the Maya largely from his Grammar. The Maya Chronicles Brinton's Library Of Aboriginal American Literature, Number 1 In like manner the sign x suggests an unknown quantity in relation to the algebraic problem; in relation to phonics it is a double sound; in relation to numeration, the number ten. Ontario Normal School Manuals: Science of Education The last seven numerations were points, like the first three, each subsisting independently, unsustained by companionship; which was the cause of their dying and being shattered. Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry I have quoted, as a rule, from the Globe edition, and have referred always to its numeration of acts, scenes, and lines. Shakespearean Tragedy Lectures on Hamlet, Othello, King Lear, Macbeth Notation, like numeration, began with ones, advanced to fives, then to tens, etc. The Atlantic Monthly, Volume 05, No. 28, February, 1860 By their aid another method of numeration was in vogue for counting time. The Maya Chronicles Brinton's Library Of Aboriginal American Literature, Number 1 There is, however, no clx, and ccccxiii is duplicated, errors which balance each other and do not disturb the final numeration. Catalogue of the William Loring Andrews Collection of Early Books in the Library of Yale University But then, he says, it is absolutely necessary that the basis of numeration should be a prime number. Auguste Comte and Positivism In counting over a quantity of small articles each tenth, and afterwards each hundredth piece is put aside; which method is consonant with the progress of scientific numeration, and probably gave it origin. The History of Sumatra Containing An Account Of The Government, Laws, Customs And Manners Of The Native Inhabitants At first sight, the universal use of decimal numeration seems to be an argument in its favor. The Atlantic Monthly, Volume 05, No. 28, February, 1860 It contains 26 leaves, without numeration, and on the 17th this chronicle is inserted without title or prefatory remarks. The Maya Chronicles Brinton's Library Of Aboriginal American Literature, Number 1 The numeration of the Oxford edition of Bishop Fell is, with a few exceptions, quite different. The Ancient Church Its History, Doctrine, Worship, and Constitution Not only are the first distinct ideas of number co-ordinate with ideas of likeness and equality, but the first efforts at numeration displayed the same relationship. Essays on Education and Kindred Subjects Everyman's Library It may, indeed, be stated as a universal law, that some practical method of numeration has, in the childhood of every nation or tribe, preceded the formation of numeral words. The Number Concept Its Origin and Development Even the fingers number eight, and, had there been any reflection used in the adoption of a base of numeration, the thumbs would not have been included. The Atlantic Monthly, Volume 05, No. 28, February, 1860 No proficiency in grammar and arithmetic, no science of numeration and no scheme of prosody, will be here of the least avail. A Study of Shakespeare That the stock of the common people, in numbers, is not lessened, any more than the causes are impaired, is manifest, without being at the pains of an actual numeration. The Works of the Right Honourable Edmund Burke, Vol. 05 (of 12) The pupil has already been familiarised with such divisions in numeration, and he now proceeds to a comparison of their several parts, and of the relation of these parts to each other.... Essays on Education and Kindred Subjects Everyman's Library Practical methods of numeration are many in number and diverse in kind. The Number Concept Its Origin and Development The idea of changing the base of numeration will appear to most persons as absurd, and its realization as impossible; yet the probability is, it will be done. The Atlantic Monthly, Volume 05, No. 28, February, 1860 They had the decimal numeration, and their year was of three hundred and sixty days. Ten Great Religions An Essay in Comparative Theology Every thing inclines us to think, that these were the first instruments used by men to assist them in the practice of numeration. A General History and Collection of Voyages and Travels — Volume 13 All numeration was, doubtless, originally performed by the fingers; for the number of the fingers is still the utmost extent of its signification. English Grammar in Familiar Lectures The variety in practical methods of numeration observed among savage races, and among civilized peoples as well, is so great that any detailed account of them would be almost impossible. The Number Concept Its Origin and Development In attempting to ascertain these, it will be necessary to consider the uses of numeration and of notation. The Atlantic Monthly, Volume 05, No. 28, February, 1860 Possibly a numeration limited to the first three, four, or five numbers is the effect of intellectual inferiority. Narrative of the Voyage of H.M.S. Rattlesnake, Commanded By the Late Captain Owen Stanley, R.N., F.R.S. Etc. During the Years 1846-1850. Including Discoveries and Surveys in New Guinea, the Louisiade Archipelago, Etc. to Which Is Added the Account of Mr. E.B. Kennedy's Expedition for the Exploration of the Cape York Peninsula. By John Macgillivray, F.R.G.S. Naturalist to the Expedition. — Volume 2 With them also came the decimal numeration algebra, alchemy, chemistry, medicine, cosmology and rhymed poetry. The Shadow of the Cathedral Never had the numeration table been invested with such significance. Bred in the Bone A single illustration may be given which typifies all practical methods of numeration. The Number Concept Its Origin and Development Admitting binary gradation to be proper to weights, measures, and coins, it follows that a corresponding base of numeration and notation must be provided, as that best suited to commerce. The Atlantic Monthly, Volume 05, No. 28, February, 1860 The extent to which the numeration is carried, is a matter of more importance. Narrative of the Voyage of H.M.S. Rattlesnake, Commanded By the Late Captain Owen Stanley, R.N., F.R.S. Etc. During the Years 1846-1850. Including Discoveries and Surveys in New Guinea, the Louisiade Archipelago, Etc. to Which Is Added the Account of Mr. E.B. Kennedy's Expedition for the Exploration of the Cape York Peninsula. By John Macgillivray, F.R.G.S. Naturalist to the Expedition. — Volume 2 We have an instance of this in numeration. The Grammar of English Grammars Yet what is most remarkable, the latter have an ingenious system of numeration, by which they can compute very high numbers. Personal Memoirs of a Residence of Thirty Years with the Indian Tribes on the American Frontiers Indeed, the high limit to which some savage races carry their numeration is far more worthy of remark than the entire absence of the number sense exhibited by others of apparently equal intelligence. The Number Concept Its Origin and Development Previous groupings were for particular numerations; this for numeration in general; being, in fact, the first numeric base,—the quinary. The Atlantic Monthly, Volume 05, No. 28, February, 1860 Binary files contain codes based on the binary numeration system. The Online World From the variety of the reports, uniformity of nomenclature and numeration is almost impossible. Anomalies and Curiosities of Medicine This house has since been demolished and rebuilt, and the number has probably been changed in those revolutions of numeration which the streets of Paris undergo. Les Misérables Our perfect system of numeration enables us to express without difficulty any desired number, no matter how great or how small it be. The Number Concept Its Origin and Development Consequently, the numeration and notation best suited to commerce will be those which agree best with such a system. The Atlantic Monthly, Volume 05, No. 28, February, 1860 Who blames the Tribunes and the Heralds and the Worlds and the Timeses for vaunting a circulation which seems to defy mortal numeration? Punchinello, Volume 1, No. 04, April 23, 1870 According to Mrs. Stanhope's system, I am sure that he has: for his thousands and tens of thousands, as I am credibly informed, pass the comprehension of the numeration table. Tales and Novels — Volume 03 I chose her by the numeration table: Units, tens, hundreds, thousands, tens of thousands, hundreds of thousands. Tales and Novels — Volume 04 At this point they began to resort to digital numeration also; and any higher number is expressed by that method. The Number Concept Its Origin and Development Decimal numeration grew out of the fact that each person has ten fingers and thumbs, without reference to science, art, or commerce. The Atlantic Monthly, Volume 05, No. 28, February, 1860 Gallery; numeration and spelling with brass figures and letters. The Infant System For Developing the Intellectual and Moral Powers of all Children, from One to Seven years of Age Their numeration is the same as in the original. Voyages of Samuel De Champlain — Volume 01 An English dust-cart is a piece of finery, a chef d'auvre of mechanism, compared with them and the horses!—a savage might use their ribs instead of his fingers for a numeration table. Biographia Literaria This form of numeration is usually, though not always, carried as far as the system extends; and it sometimes leads to curious terms, of which a single illustration will suffice. The Number Concept Its Origin and Development It may be asked, how a number, hitherto almost entirely overlooked as a base of numeration, is suddenly found to be so well suited to the purpose. The Atlantic Monthly, Volume 05, No. 28, February, 1860 If the children are practised in this way, they will soon learn numeration. The Infant System For Developing the Intellectual and Moral Powers of all Children, from One to Seven years of Age Their method of numeration was very much like that with the so-called Roman numerals. A Day in Old Athens; a Picture of Athenian Life Now as none will maintain, that our assurance in a long numeration exceeds probability, I may safely affirm, that there scarce is any proposition concerning numbers, of which we can have a fuller security. A Treatise of Human Nature But where digital numeration is extensively resorted to, the expressions for higher numbers are likely to become complex, and to act as a real bar to the extension of the system. The Number Concept Its Origin and Development A change of numeration is truly a more serious matter, yet the difficulty may not be as great as our apprehensions paint it. The Atlantic Monthly, Volume 05, No. 28, February, 1860 He repeated the numeration: the giddy Bellenden lost her patience, and cried out, "Sir, I cannot bear it! if you count your money any more, I will go out of the room." The Letters of Horace Walpole, Earl of Orford — Volume 1 Some savants question the intellectual ability of the blacks because they have not elaborate systems of numeration and notation, which in their life were quite unneeded. The Euahlayi Tribe; a study of aboriginal life in Australia When a part of the common is enclosed and farmed, the enclosure is called an outset; but the outsets are never included in the numeration of merks of rental land. Second Shetland Truck System Report Two centuries ago the distinguished philosopher and mathematician, Leibnitz, proposed a binary system of numeration. The Number Concept Its Origin and Development Life is too short to admit of repeated blunders in the numeration of beans, and this being his one weak point, the dram of ale does its work. Such Is Life Up to this point I have followed the numeration but from this forwards as the Nights become unconscionably short compared with the intervening dialogues, I have thrown two and sometimes three into one. The Book of the Thousand Nights and a Night — Volume 14 Now Davy had only begun arithmetic on the governess's arrival, but he had learnt numeration and addition in her way. The Stokesley Secret Had he had the time, he would not have shrunk from plunging into the millions of combinations of which the ten symbols of numeration are capable. Eight Hundred Leagues on the Amazon In describing the Columbians, Bancroft says: “Systems of numeration are simple, proceeding by fours, fives, or tens, according to the different languages.…” The Number Concept Its Origin and Development "Augrim" is a corruption of algorithm, the Arabian term for numeration; "augrim stones," therefore were probably marked with numerals, and used as counters. The Canterbury Tales, and Other Poems This numeration must be absolute, like all else that is true in itself; but it is purely relative, it does not exist absolutely, and no proof can be given of its reality. Seraphita One of the purest examples of quinary numeration is that furnished by the Betoya scale, already given in full in Chapter III., and briefly mentioned at the beginning of this chapter. The Number Concept Its Origin and Development It is quite within the bounds of possibility that the prehistoric nations of Europe possessed and used a quinary numeration. The Number Concept Its Origin and Development All numbers above that point belong rather to decimal than to quaternary numeration. The Number Concept Its Origin and Development Whatever their form of numeration may have been, it has left no perceptible trace on the languages by which they were succeeded. The Number Concept Its Origin and Development These families, disseminating their characteristics through their various branches, have produced certain groups of races which exhibit a well-marked tendency, here toward the decimal, and there toward the vigesimal form of numeration. The Number Concept Its Origin and Development Both decimal and vigesimal numeration are found indifferently in warm and in cold countries; in fruitful and in barren lands; in maritime and in inland regions; and among highly civilized or deeply degraded peoples. The Number Concept Its Origin and Development In Albania there exists one single fragment of vigesimal numeration, which is probably an accidental compound rather than the remnant of a former vigesimal number system. The Number Concept Its Origin and Development It will be remembered that none of the European scales showed this persistency, but passed at that point into decimal numeration. The Number Concept Its Origin and Development But either through contact or affinity, this form of numeration spread in prehistoric times over half or more than half of the western hemisphere. The Number Concept Its Origin and Development The words for 20, 100, and 200 are clear evidence of vigesimal, while 30 to 90, and the remaining hundreds, are equally unmistakable proof of decimal, numeration. The Number Concept Its Origin and Development In the Maya scale we have one of the best and most extended examples of vigesimal numeration ever developed by any race. The Number Concept Its Origin and Development
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