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" ... fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth... "
An Elementary Treatise of Spherical Geometry and Trigonometry - Page 50
by Anthony Dumond Stanley - 1848 - 122 pages
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Elementary algebra. To which is now added an appendix

James Hamblin Smith - 1883 - 466 pages
...multiple of the third is also less thau that of the fourth : or, " If the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth : or, " If the multiple of the first be greater than that of the second,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...the multiple of the third is also less than that of the fourth, and if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth, and if the multiple of the first be greater than that of the second,...
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Notes on algebra

Howard Candler - 1885 - 116 pages
...the ist and 3rd, and any equimultiples whatever of the 2nd and 4th, if the multiple of the first be equal to that of the second, the multiple of the third is equal to that of the fourth, and if the multiple of the first be greater than that of the second, the multiple of the third is greater...
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A Text Book of Algebra

William Steadman Aldis - Algebra - 1887 - 616 pages
...the multiple of the third is also less than that of the fourth, and if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth, and if the multiple of the first be greater than that of the second,...
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The Teaching of Elementary Mathematics

David Eugene Smith - Mathematics - 1900 - 338 pages
...the multiple of the third is also less than that of the fourth : or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth ; or, if the multiple of the first be greater than that of the second,...
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The Contents of the Fifth and Sixth Books of Euclid

Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 165 pages
...the multiple of the third is also less than that of the fourth : and, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth : and, if the multiple of the first be greater than that of the second,...
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College Algebra

James Harrington Boyd - Algebra - 1901 - 818 pages
...the multiple of the third is also less than that of the fourth, and if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth, and if the multiple of the first be greater than that of the second,...
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A History of Greek Mathematics, Volume 1

Sir Thomas Little Heath - Mathematics - 1921 - 482 pages
...(possibly for brevity's sake) states only one criterion, the other possible criterion being that, while the multiple of the first is equal to that of the second, the multiple of the third is less than that of the fourth. A proportion may consist of three or four terms (Defs. 8, 9, 10); 'corresponding'...
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The Development of Logic

William Calvert Kneale, Martha Kneale - Philosophy - 1962 - 802 pages
...the multiple of the third is also less than that of the fourth, and if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth, and if the multiple of the first be greater than that of the second,...
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