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" ... of the second and 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... "
A Treatise on Algebra - Page 331
by George Peacock - 1830 - 685 pages
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...be less than that of the second, 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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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...less than that of the second, 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...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...less than that of the second, the mu'tiple of the third is also less than tlint of the fourth : or, if the multiple of the first be equal to that of the ;,= i onij, the multiple of the third is also equal to that of tilt- fourth; if 98 EUCUD'B KI.KMKMft....
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Elementary algebra. To which is now added an appendix

James Hamblin Smith - 1883 - 466 pages
...less than that of the second, the 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...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...that of the second, th~e~T43*itif>le of the third is also less than that of the fourth ; or, " ll-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...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1882 - 442 pages
...the multiple of the third is also less than that of the fourth ; or, " If the multiple of the lirst 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...
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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
...be less than that of the second, 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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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1304 pages
...their bases. Why is it not sufficient, in the demonstration of this proposition, to prove that if th« multiple of the first be equal to that of the second the multiple of the third will be eqoal to that of the fourth ? 3. Solve the equations — __ 4_ _ ! 12 298 NAVAL EDUCATION — APPENDIX....
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Notes on algebra

Howard Candler - 1885 - 116 pages
...equimultiples whatever being taken of 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,...
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A Text Book of Algebra

William Steadman Aldis - Algebra - 1887 - 616 pages
...be less than that of the second, 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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