 | Robert Simson - Trigonometry - 1775 - 534 pages
...Therefore, if any magnitudes, how many foever, be equimultiples of as many, each of each, whatfoever multiple any one of them is of its part, the fame multiple fhall all the firft magnitudes be of all the other : « For the fame demonftration « holds A G B H... | |
 | Euclid - 1781 - 552 pages
...Therefore, if any magnitudes, how many foever, be equimultiples of as many, each of each, whatfoever multiple any one of them is of its part, the fame multiple fhall all the firlt magnitude^ be of all the other : ' For the fame demonftration s holds G I C Hf... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...a multiple is greater than the fame multiple ot another, is greater than that other magnitude. K 4 PROP. IF any number of magnitudes be equimultiples of as many others, each of each, what multiple foever any one of the firft is of its part, the fame multiple is the fum of all the firft... | |
 | 1798 - 618 pages
...first proposition of the fifth book, which we give as a specimen of his method:. PRO;-, i. THEOR. * If any number of magnitudes be equimultiples of as many others, each of еэсЬ, what multiple soever any one of the first is of ¡ts part, the same multiple is the sum of... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...than the fame multiple of another, is greater than that other magnitude. K 4 PROP. PROP. I. THEO R. IF any number of magnitudes be equimultiples of as many others, each of each, what multiples foever any one of the firft is of its part, the fame multiple is the fum of all the... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...is greater than the same multiple of another, is greater than that other magnitude. PROP. I. THEOR. If any number of magnitudes be equimultiples of as many others, each of each, what multiple soever any one of the first is of its part, the same multiple is the sum of all the first... | |
 | John Playfair - 1819 - 354 pages
...greater than the same multiplf of another, is greater than that other magnitude. PROP. I. THEOR. If anif number of magnitudes be equimultiples of as many others, each of each, what multiple soerer any one of the first is of its part, the same multiple is the sum of all the first... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...than the same multiple of another, is greater than that other magnitude. PROPOSITION I. THEOREM. (474) If any number of magnitudes be equimultiples of as many others, each of each : what multiple soever any one of the first is of its part, the same multiple shall all the first magnitudes... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...is greater than the same multiple of another, is greater than that other magnitude. PROP. I. THEOR. If any number of magnitudes be equimultiples of as many others, each of each ; what multiple soever any one of the former magnitudes is of its part, the same multiple will all... | |
 | Mathematics - 1836 - 488 pages
...multiple is greater than the same multiple of another, is greater than that other magnitude. PROP. I. If any number of magnitudes be equimultiples of as many others, each of each, what multiple soever any one of the first is of its part, the same multiple is the sum of all the first... | |
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If any number of magnitudes be equimultiples of as many others, each of each, what multiple soever any one of the first is of its part, the same multiple is the sum of all the first of the sum of all the rest. 
