 | Euclid - 1826 - 234 pagina’s
...but the multiple of the third does not exceed the multiple of the fourth, then the first is said to have a greater ratio to the second, than the third has to the fourth.f 8. Proportion is a similitude of ratios. 9. Proportion consists of three terms at least. 10.... | |
 | James Ryan - 1826 - 430 pagina’s
...by hypothesis-K=g-, CE and a\so— >•£-, U r therefore we have ^>|, ^£ D COR. And if the first have a greater ratio to the second than the third has to che fourth, but the third the same ratio to the fourth which the fifth has to the sixth^ it may be... | |
 | Robert Simson - 1827 - 546 pagina’s
...greater •7 Def. 5. ratio to B, than E has to F*. Wherefore, if the first, &c. QED COR. And if the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth ; it may be demonstrated,... | |
 | Euclid, Dionysius Lardner - 1828 - 542 pagina’s
...every ratie which is greater than the former is also greater than the latter. COR. — And if the first have a greater ratio to the second than the third has to the fourth, but the third the same ratio to the fourth which the fifth has to the sixth ; it may be demonstrated,... | |
 | Euclid - 1835 - 540 pagina’s
...ratio to c 7. def. 5. B than E has to F c. Wherefore, " if the fast, &c. QED COR. And if the first have a greater ratio to the second than the third has to the fourth, but the third the same ratio to the fourth which the fifth has to the sixth ; it may be demonstrated... | |
 | 1836 - 488 pagina’s
...to a second that a third has to a fourth ? When are mag. nitudes proportionals ? When does the first have a greater ratio to the second than the third has to the fourth ? and when a less ? When are magnitudes continual proportionals ? When is a magnilüde a mean proportional... | |
 | Euclid, James Thomson - 1837 - 410 pagina’s
...def. 7.) A has a greater ratio to B, than E has to F. Wherefore, if the first, &c. Cor. If the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth ; it may be demonstrated,... | |
 | Euclid, James Thomson - 1845 - 382 pagina’s
...(V.dei.7) A has a greater ratio to B, than E has to F. Wherefore, if the first, &c. Cor. If the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth ; it may be demonstrated,... | |
 | Euclides - 1845 - 546 pagina’s
...ratio to B, than E has to F. (v. def. 7•) Wherefore, if the first, &c. QED COR. And if the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth ; it may be demonstrated,... | |
 | Euclid - 1845 - 218 pagina’s
...has a greater ratio to B, than E has to F§. Wherefore, if the first, &c. QED COR. And if the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth ; it may be demonstrated,... | |
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And if the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth... 
