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" The quantuplicity of A with respect to B may be estimated by examining how the multiples of A are distributed among the multiples of B, when both are arranged in ascending order of magnitude and the series of multiples continued without limit. "
Proceedings of the Edinburgh Mathematical Society - Page 102
by Edinburgh Mathematical Society - 1897
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...ratio of A to B is denoted thus A : B, and A is called the antecedent of the ratio, B the consequent. The quantuplicity of A with respect to B may be estimated...and the series of multiples continued without limit. OBS. This inter-distribution of multiples is definite for two given magnitudes A and B, and is different...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...denoted thus A : B, and A is called the antecedent of the ratio, B the consequent. The quantuplidty of A with respect to B may be estimated by examining...and the series of multiples continued without limit. OBS. This inter-distribution of multiples is definite for two given magnitudes A and B, and is different...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...condition to find it. 477. The order in which the multiples of A lie among the multiples qt B, when all are arranged in ascending order of magnitude, and the series of multiples continued indefinitely, determines what is called the Ratio of A to B, and written A:B,ii\ which the first magnitude...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...condition to find it. 477. The order in which the multiples of A lie among the multiples of B, when all are arranged in ascending order of magnitude, and the series of multiples continued indefinitely, determines what is called the Ratio of A to B, and written A : B, in which the first...
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The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...of the former to the latter in respect of quanta plicity. The quantuplidty of A with respect to B is estimated by examining how the multiples of A are...and the series of multiples continued without limit. Thus, if A denotes the diagonal, and B the side of a square, the scale of interdistribution of their...
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Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical ...

Irving Stringham - Algebra - 1893 - 164 pages
...of A to BB denoted thus, A : B ; and A is called the antecedent, B the consequent of the ratio." ' ' The quantuplicity of A with respect to B may be estimated...the series of multiples continued without limit." This distribution may be represented graphically thus : A 2\ 3 A. 4A sA 6A ?A 8A Multiples of A : Multiples...
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Proceedings of the Edinburgh Mathematical Society, Volume 16

Edinburgh Mathematical Society - Electronic journals - 1898 - 160 pages
...done, there seems a good deal to accomplish. Now what is the meaning of the Greek word in;XiK67T;s translated quantuplicity ? Barrow translates it by...we may, what is to be understood by the definition t Take the simple case when A is five-thirds of B ; what is the ratio of A to B according to the definition...
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