 | Robert Simson - 1827 - 546 Seiten
...This is usually cited by the words "ex aequali in proportione perturbata"; or " ex a-quo perturbato." First, let there be three magnitudes A, B, C, and other three, D, E, F, which taken two and two in a cross order have the same ratio, that is, such that A is to B, as E to... | |
 | Euclid, Dionysius Lardner - 1828 - 542 Seiten
...magnitudes, and as many others, which taken two and two in order have the same ratio ; the first has to the last of the first magnitudes the same ratio which the first has to the last of the others. NB This is usually expressed by the words " ex tequali," or, " ex (equo."... | |
 | John Playfair - 1832 - 358 Seiten
...many others, which, taken two and two in order, have (he same ratio; the Jirst will have to the lust of the first magnitudes, the same ratio which the first of the other has to the last. * First, let there be three magnitudes, A, B, C, and other three, D,E,F, which,... | |
 | 1833 - 496 Seiten
...and as many others, which, taken two and two in a cross order, Lave 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. 1st, Let there be three magnitudes, A, B, C, and other three, D, E, F, which, taken two and two in... | |
 | Perry Fairfax Nursey - 1833 - 488 Seiten
...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. 1st. Let there be three magnitudes, A, B,C, and other three, D, E,F, which, taken two and two in order,... | |
 | John Playfair - 1833 - 346 Seiten
...the first leUl have to the last of the first magnitudes, tke same ratio which thejir1st of the other has to the last.* First, let there be three magnitudes, A, B, C, and other three, D, E, F, which, taken two and two, in order, have the same ratio, viz. A : B : : D : E, and B : C : : E : F... | |
 | Euclid - 1835 - 540 Seiten
...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 *. • NB — This proposition is usually cited by the words, " ex cequali," or " ex aquo." ABC DEF... | |
 | Robert Simson - 1835 - 544 Seiten
...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 *. - NB — This proposition is usually cited by the words, " ex aquali," or " er ctquo." ABCABC DE... | |
 | James Ryan, Robert Adrain - 1835 - 388 Seiten
...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 ihe first rank of magnitudes, the same ratio which the first of the others has lo the last. NB This... | |
 | John Playfair - 1836 - 148 Seiten
...quantities. PROP. XVII. THEOR. If there be any number of quantities, 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. This is usually cited by the words " ex aequali in proportione perturbata," or " ex aequo perturbato."... | |
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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... 
