 | Robert Simson - Trigonometry - 1762 - 488 pages
...&c. Q^E. D* PROP. XIII. THE OR. IF the firft has to the fecond the fame ratio \irhich die srt **• third has to the fourth, but the third to the fourth a greater ratio than the fifth has to the fixth; the firft fhall alfo have to the fecond a greater ratio than the fifth ha8 to the... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...number, &c. Q^ED I PROP. XIII. THEO R. F the firft has to the fecond the fame ratio which the See N. third has to the fourth, but the third to the fourth a greater ratio than the fifth has to the fixth ; the firft fhall aJfo have to the fecond a greater ratio than the fifth has to the... | |
 | Robert Simson - Trigonometry - 1781 - 534 pages
...any number, &c. Q._ ED PROP. Xlll. THEO R. IF the firft has to the fecond the fame ralio which SeeN> the third has to the fourth, but the third to the fourth a greater ratio than the fifth has to the fixth ; the firft fhall alfo have to the fecond a greater ratio than the fifth has to the... | |
 | Euclid - 1781 - 552 pages
...number, &c. Q^ED PROP. XIII. T fl EOR, IF the firft has to the fecond the fame ratio which the see N, third has to the fourth, but the third to the fourth a greater ratio than the fifth has to the fixt,h ; the firft fhall allb have to the fecond a greater ratio than the fifth has to the... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...: : A4 C+E : B+D+F. There fore, &e. Q^ED PROP. XIII. PROB. IF the firft has to the fecond the fame ratio which the third has to the fourth, but the third to the fourth a greater ratio than the fifth has to the fixth; the firft fhall alfo have to the fecond a greater ratio than the fifth has to the... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...ED 1C a i. ll I D b5.Def.j. E PROP. XIII. THEOR. F the firft has to the fecond the fame ratio that the third has to the fourth, but the third to the fourth a greater ratio than the fifth has to the iixth ; the firll fhall alfo have to the fecond a greater ratio than the fifth has to the... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...B+D+F. Therefore, &c. Q^ED PROP. XIII. THEOR. IF the firft have to the fecond the fame ratio whicii the third has to the fourth, but the third to the fourth a greater ratio than the fifth has to the fixth : the firft has alfo to the fecond a greater ratio than the fifth has to the fixth.... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...immber, &c; QJ2. D. tROP. Xlti. THE ORIF the firft has M the fecohd the fame ratid Vvhich the See N; third has to the fourth, but the third to the fourth a greater ratio than the fifth has to the fixth ; the firft fliall alfo have to the fecond a greater ratio than the fifth has to the... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...has a greater ratio to the second, than the fifth has to the sixth. PROP. XIV. THEOR. SeeN. a 8. 5. IF the first has to the second the same ratio which the third has to the fourth; then, if the first be greater than the third, the second shall be greater than the fourth; and if equal,... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...demonstration be extended to any number of magnitudes. Therefore, &c. QED PROP. XXIV. THEOR. IF the first have to the second the same ratio which the third has to the fourth, and the fifth to the second the same ratio which the sixth has to the fourth ; the first and fifth... | |
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If the first has to the second the same ratio which the third has to the fourth... 
