| John Keill - Trigonometry - 1733 - 397 pages
...as EF is to BG, and if three Right Lines * Dtf. 10. 5. be proportional, the firft has * a duplicate **Proportion to the third, of what it has to the fecond....a duplicate Proportion of that which BC has to EF** ; arid as BC is to BG, fo is the Triangle ABC to the Triangle ABG, whence the Triangle ABC bears to... | |
| Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...triangle ABC to the triangle ABG. therefore the triangle ABC has to the triangle ABG, the duplicate ratio **of that which BC has to EF. but the triangle ABG is equal to the** irhngle DEF ; wherefore alfq the triangle ABC has to the triangle DEF the duplicate ratio of that which... | |
| Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...triangle ABC to the triangle ABG. Therefore the triangle ABC has to the triangle ABG the duplicate ratio **of that which BC has to EF: But the triangle ABG is equal to the triangle DEF;** wherefore alfo the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has to... | |
| James Williamson - Mathematics - 1781
...ABC to the triangle ABG: therefore alfo the triangle ABC has to the triangle ABG the duplicate ratio **of that which BC has to EF : but the triangle ABG is, equal to the triangle DEF; therefore** (by 7. 5.) the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has, to EF.... | |
| Robert Simson - Trigonometry - 1781 - 466 pages
...triangle ABC to the triangle ABG. therefore the triangle ABC has to the triangle ABG, the duplicate ratio **of that which BC has to EF. but the triangle ABG is equal to the triangle DEF** ; wherefore allb the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has... | |
| Euclid - 1781 - 520 pages
...triangle ABG. Therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC rus **to EF : But the triangle ABG is equal to the triangle DEF;** wherefore alfo the triangle ABC has to the triangle DEF the duplicate ratfo of that which BC has to... | |
| John Playfair - Euclid's Elements - 1795 - 400 pages
...triangle ABC to the triangle ABG. Therefore the triangle ABC has to the triangle ABG the duplicate ratio **of that which BC has to EF : but the triangle ABG is equal to the triangle DEF** ; wherefore alfo the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has... | |
| Trigonometry - 1799 - 351 pages
...triangle ABC to the triangle ABG. Therefore the triangle ABC has to the triangle ABG the duplicate ratio **of that which BC has to EF : But the triangle ABG is equal to the triangle DEF** ; wherefore alfo the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has... | |
| Euclides - Geometry - 1816 - 528 pages
...triangle ABC to the triangle ABG. Therefore the triangle ABC has to the triangle ABG the duplicate ratio **of that which BC has to EF : But the triangle ABG is equal to the triangle** DKF: Wherefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...triangle ABG. Therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC hat **to EF : But the triangle ABG is equal to the triangle DEF** ; wherefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which BC bas... | |
| |