 | Euclid, Isaac Barrow - Geometry - 1714 - 536 pages
...alfo agaivfl the Jfy[f PROP. G B — ^— — D — — — F - — Proportions which are one and tie fame to any third, are alfo the fame one to another. Let A. B :: E. F, and G. D ~ EF I fay that AB :: CD Take G, H, I the equimultiples of A, C, E ; and K, L, M the equimultiples... | |
 | John Keill - Logarithms - 1723 - 444 pages
...is the leffer Magnitude ; which was to be demonftrated. PROPOSITION. XI. THEOREM. Proportions that are one and the fame to any "Third, are alfo the fame to one another. T ET A be to B as C is to D, and C to D as E ••-1 to F. I fay A is to B as E is... | |
 | Euclid, Isaac Barrow - Euclid's Elements - 1732 - 436 pages
...Hypothefis, for it will c follow that C. B : : CA If you fay B c~ A, d then /•/->•• Proportions which are one and the fame to any -third) are alfo...and CD :.• EF I fay that A. B :: CD Take G, H, I, equimultiples of A, C, E; and K, L, M, equimultiples of B, D, F. Now^becaufe A. B : : E. F ; if G c~,... | |
 | Euclid, John Keill - Geometry - 1733 - 444 pages
...Proportion, is the lejfer Magnitude j which was to be demon Crated. PROPOSITION xi. THEOREM. Proportions that are one and the fame to any third, are alfo the fame to one another. LET A be to B as C is to D, and C to D as E to F. I fay, A is to B as E is to F. For... | |
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Proportions that are one and the fame to any "Third, are alfo the fame to one another. 