| 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... | |
| 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 - 528 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 - 548 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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