 | Robert Simson - 1762 - 488 페이지
...X. THEOR. \-*V^> 'T'HAT magnitude which has a greater ratio than ano- s« N. ther has unto the fame magnitude is the greater of the two. and that magnitude to which the fame has a greater ratio than it has unto another magnitude is the leffer of the two. Let A have to... | |
 | Robert Simson - 1775 - 534 페이지
...Book V. PRO PX t HEO R. magnitude which has a greater ratio than an- see N. other has unto the fame magnitude is the greater of the two : And that magnitude to which the fame has a greater ratio than ij has unto another magnitude is the Icflerof the two. •THHAT 1 othe... | |
 | Euclid - 1781 - 552 페이지
...V. PRO PX THEO R. THAI' magnitude which has a greater ratio than an- See N. other has unto the fame magnitude is the greater ' of the two : And that magnitude to which the fame has a greater ratio than it has unto another magnitude is the leffer of the two. v Let A have... | |
 | Euclid, John Playfair - 1795 - 462 페이지
...= B. PROP. PRO PX THEO R. '"THAT magnitude which has a greater ratio than another has unto the fame magnitude is the greater of the two : And that magnitude to which the fame has a greater ratio than it has unto another magnitude is the lefler of the two. If the ratio... | |
 | Nicolas Vilant - 1798 - 196 페이지
...they are equal. PROPOSITION X. That magnitude which has a greater ratio than another has unto the fame magnitude, is the greater of the two ; and that magnitude to which the fame has a greater ratio than it has unto another magnitude, is the lefs of die two. Becaufe. A : С... | |
 | Alexander Ingram - 1799 - 374 페이지
...; which is impoffible. Therefore A is equal to B. Wherefore, &c. Q^ED PROP. BooKV. PROP. X. THEOR. THAT magnitude which has a greater ratio than another has to the fame magnitude, is the greater of the two : and that magnitude to which the fame has a greater ratio... | |
 | John Playfair, Euclid - 1804 - 468 페이지
...by inverfion h, A : C : : B : C ; and therefore by the firft cafe, A— B. PROP. PH OP. X. THE OR. THAT magnitude, which has a greater ratio than another has to the fame magnitude, is the greateft of the two : And that magnitude, to which the fame has a greater ratio... | |
 | Robert Simson - 1806 - 546 페이지
...&c. QED BookV. PROP. X. THEOR. THAT magnitude which has a greater ratio than See N. another has unto the same magnitude is the greater of the two : and...to which the same has a greater ratio than it has unto another magnitude, is the lesser of the two. Let A have to C a greater ratio than B has to C :... | |
 | Euclides - 1816 - 588 페이지
...which, &c. QED PROP. X. THEOR. THAT magnitude which has a greater ratio than See N. another has unto the same magnitude, is the greater of the two : And...to which the same has a greater ratio than it has unto another magnitude, is the lesser of the two. Let A have to C a greater ratio than B has to C ;... | |
 | John Playfair - 1819 - 350 페이지
...For by inversion (A. 5,) A : C : : B : C ; and therefore by the first case, A = B. PROP. X. THEOR. That magnitude, which has a greater ratio than another has to the same magnitude, is the greatest of the two : And that magnitude, to which the same has a greater ratio than it has to another... | |
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That magnitude which has a greater ratio than another has unto the same magnitude, is the greater of the two : and that magnitude to which the same has a greater ratio than it has unto another . magnitude, is the less of the two. 
