| Robert Simson - Trigonometry - 1762 - 488 pages
...homologous fides, and it has atready been proved in triangles. Therefore univerfally, fimilar rectilineal figures are to. one another in the duplicate ratio of their homologous fides. COR. 2. And if to AB, FG two of the homologous fides a third h.io.Def.s- proportional M be taken,... | |
| Euclid - Geometry - 1765 - 492 pages
...homologous fides. This has been a4fe proved of triangles, therefore univerfally fimilar right lined figures are to one another in the duplicate ratio of their homologous fides. Euclid's Elements. Book Vf. Corollary. 2. And if a third proportional x be found to AB, FG :... | |
| Joseph Fenn - Mathematics - 1769 - 536 pages
...truth bas already been proved in triangles (P 19), it is tvident universally, that fimüar rectilineal figures are to one another in the duplicate ratio of their homologous fides. Wherefore, if te AB, FG two of I be homologous fides a third proportional X be taken ; becaufe... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...homologous fides, and it has already been proved in triangles. Therefore, univerfally, fimilar rectilineal figures are to one another in the duplicate ratio of their homologous fides. CoR. 2. And if to AB, FG, two of the homologous fides, hio.dcf.i. a third proportional M be... | |
| Euclid - 1781 - 552 pages
...homologous fides, and it has atready been proved in triangles. Therefore, univerfally fimilar rectilineal figures are to one another in the duplicate ratio of their homologous fides CoR. 2. And if to AB, FG, two of the homologous fides, hio. def.5. a third proportional M betaken,... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...homologous fides, and it has already been proved in triangles. Therefore, univerfaUy fimilar reftilineal figures are to one another in the duplicate ratio of their homologous fides. CoR. 2. And if to AB, FG, two of the homologous fides, h 1 1. def. 5. a third proportional M... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...homologous fides ; and it has already been proved in triangles. Therefore, univerfally fimilar rectilineal figures are to one another in the duplicate ratio of their homologous fides. CoR 2. And if to AB, FG, two of the homologous fides, hio-Def.5. a third proportional M be taken,... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...homologous- fides, and it has already been proved in triangles. Therefore univerfally, fimilar rectilineal figures are to one another in the duplicate ratio of their homologous fides. CoR. 2. And if to AB, FG two of the homologous fides a h.io.Def.5. third proportional M be taken,... | |
| John Playfair - Mathematics - 1806 - 320 pages
...homologous sides ; and it has already been proved in triangles. Therefore, universally, similar rectilineal figures are to one another in the duplicate ratio of their homologous sides. COR. 2. If to AB, FG, two of the homologous sides, a third proportional M be taken, AB has to M the... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...homologous sides, and it has already been proved in triangles. Therefore, universally, similar rectilineal figures are to one another in the duplicate ratio of their homologous sides. COR. 2. And if to AB, FG, two of the homologous sides, a h 10. iU t'. third proportional M be taken,... | |
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