 | Robert Simson - Trigonometry - 1762 - 488 pages
...greater ratio than C to B ; therefore E has to F a c.Cor.13- 3. greater ratio than E to D c. but the magnitude to which the fame has a greater ratio than it has to J. 10. 5- another, is the letter of the twod. F therefore is lefs than D ; that is, D is greater... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...Q^ED D B E PROP. 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...magnitude to which the fame has a greater ratio than ij has unto another magnitude is the Icflerof the two. •THHAT 1 othe of the two Let A have to C a... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...magnitudes which, &c. QJE. DBookV. PROP. X. THEO R. THAT magnitude which has a greater ratio than scc N. another has unto the fame magnitude is the greater...greater ratio than it has unto another magnitude is the lefter of the two. Let A have to C a greater ratio than B has to C ; A ii greater than B. for becaufe... | |
 | Euclid - 1781 - 552 pages
...have to F a greater ratio than C to B ; therei.fore E has to F a greater ratio than E to De ; but the magnitude to which the fame has a greater ratio than it has to another, is the leffer of the twod ; F therefore is lefs than D ; that is, D is greater than F.... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...For by inverfion*1, A : C : : B : C ; and therefore by the firft cafe, A = B. PROP. PRO PX THEO R. '"THAT magnitude which has a greater ratio than another...greater ratio than it has unto another magnitude is the lefler of the two. If the ratio of A to C be greater than that of B to C, A is greater than B. Becaufe... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...&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...to which the fame has a greater ratio than it has to another, is the leiTer of the two. Let A have to C a greater ratio than B has to C ; A is greater... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...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 than it has to another magnitude, is the leaft of the two. If the ratio of A to C be greater than that of B to... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...greater ratio than C to B ; therefore E has to F a c.Cor.13.5. greater ratio than E to D c. but the magnitude to which the fame has a greater ratio than it has to another, is the lefler of the two d. F therefore is lefs than D ; that is, D is greater than F.... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...case, A=B. PROP. X. THEOR. BookvTHAT magnitude which has a greater ratio than another has to the same magnitude is the greater of the two ; and that magnitude to which the same has a greater ratio than it has to another magnitude is the less of the two. If the ratio of A... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 that magnitude, to which the same has a greater ratio than it has unto another magnitude, is the lesser of the two. Let A have to... | |
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THAT magnitude which has a greater ratio than another has to the same magnitude, is the greater of the two : and that magnitude, to which the same has a greater ratio than it has to another magnitude, is the less of the two. 
