 | Robert Simson - Trigonometry - 1762 - 488 pages
...ufually cited by the words " ex acquali in proportions perturbata, or, ex aequo per" turbate." Firft, Let there be three magnitudes A, B, C, and other three D, E, F, which taken two and two in a crofs order have the fame ratio, that is fuch that A is to B, as E to... | |
 | Euclid - Geometry - 1765 - 492 pages
...equal to the fixtb : and if the firjl he lefs than the third, the fourth will he lefs than the fixth. Let there be three magnitudes A, B, c, and other three D, E, F which taken two and two are in the fame ratio, but in a crofs order ; viz. as A is to B, fo is E to... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...aequali in proportione perturbata ;" or " ex aequo perturb ate" a 15- s. b Ii. 5. c 4. j. btl. i. Firft, let there be three magnitudes A, B, C, and other three D, E, F, which taken two and two in a crofs order have the fame ratio/that is, fuch that A is to B, as E to... | |
 | John Playfair - Euclid's Elements - 1795 - 462 pages
...laft of the firft magnitudes the fame ratio which the firft of the others has to the laft*, Firft, let there be three magnitudes, A, B, C, and other three, D, E, and F, which, taken two and two in a crofs order, have the fame ratio, viz. A : B : : E : F, and B... | |
 | Robert Simson - Trigonometry - 1804 - 528 pages
...ufually cited by the words " ex aequali in proportions perturbata, " or, ex aeqvo perturbate" Firft, Let there be three magnitudes A, B, C, and other three D, E, F, which taken two and two in a' crofs order have the fame ratio, that is fuch that A is to B, as E to... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...greater than the third, the fourth is greater than the fixth ; if equal, equal ; and if lefs, lefs. If there be three magnitudes, A, B, C, and other three, D, E, and F, fuch that A: B : : E : F, and B : C : : D : E ; 2fA>C, D>F; if A=C, D=:F, and if A<C,D<F. L... | |
 | Robert Simson - Trigonometry - 1806 - 548 pages
...THEOR, IF there be any number of magnitudes, and as many others, which, taken two and two, in a cross order, have the same ratio, the first shall have to...ratio which the first of the others has to the last. NB This is usually cited by the words " ex aquali in proportione per*< turbata;" or, " ex aquo per... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...magnitudes, and as many others, which, taken two and two in order, have the same ratio ; the first will have to the last of the first magnitudes the same...ratio which the first of the others has to the last*. a 4. 5. b 20. 5. First, let there be three magnitudes, A, B, C, and other three, D, E, F, which, taken... | |
 | Euclid - Geometry - 1810 - 554 pages
...is usually cited by the words " ex eequali in proportione per" turbata;" or, " ex tequo perturbate." First, Let there be three magnitudes A, B, C, and other three D, L, F, which, taken two and two. in a cross order, have the same r do, rhat is, such that A is to B,... | |
 | John Mason Good - 1813 - 714 pages
...XXII. Theor. If there be any number of magnitudes, and as many others, which, taken two and two in order, have the same ratio; the first shall have to the last of the first magnitudes the «ame ratio which the first of the others has to the last. NB This is usually cited by the words "... | |
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IF there be any number of magnitudes, and as many others, which, taken two and two, in a cross order, have the same ratio; the first shall have to the last of the first magnitudes the same ratio which the first of the others has to the last. NB This is... 
