 | Euclid, John Keill - Geometry - 1733 - 444 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 - Trigonometry - 1762 - 488 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 - Trigonometry - 1775 - 534 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... | |
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...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 - 534 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 - 552 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 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... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 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 - 1816 - 588 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 - 1046 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... | |
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ABG ; (vi. 1.) 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; therefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which... 
