| John Keill - 1723 - 364 pagina’s
...tie duplicate Proportion of their homologous Sides. 1" ET ABC, DEF, be fimilar Triangles, having -LJ **the Angle B equal to the Angle E ; and let AB be to BC as DE** is to EF, fo- that BC be the Side homologous to EF. I fay, the Triangle ABC, to the Triangle DEF, has... | |
| John Keill - 1733 - 397 pagina’s
...Similar "Triangles are in the duplicate Ft ofortion of their homologous Sides. LET ABC, DEF, be fimilar **Triangles, having the Angle B equal to the Angle E ; and let AB be to BC as DE** is to EF, fo that BC be the Side homologous to £ F. I fay, the Triangle ABC, to the Triangle DEF,... | |
| Robert Simson - 1762 - 466 pagina’s
...given ftraight line fimilar to one given, and fo on. Which was to tx? done. PROP. XIX. THE OR. xiiLAR **triangles are to one another in the duplicate ratio of their homologous** fides. Let ABC, DEF be fimilar triangles having the angle B equal to the angle E, and let AB be to... | |
| Euclid, Edmund Stone - 1765 - 464 pagina’s
...all equilateral and equiangular figures are alike deferred upon any right lines. PROP. XIX. THE OR, **Similar triangles are to one another in the duplicate ratio of their homologous** fides. Let the trianges A B. c, DEF be fimilar, having the angle B equal to the angled ; and let AB... | |
| Robert Simson - 1775 - 520 pagina’s
...a given ftraight line li« milar to one given, and- fo on. Which was to be done. PROP. XIX. THEO R. **SIMILAR triangles are to one another in the duplicate ratio of their homologous** ftdes. Let ABC, DEF be fimilar triangles having the angle B equal to the angle E, and let AB be to... | |
| Euclid - 1781 - 520 pagina’s
...upon a given ftraight line ;.milar to one given, and fo ou. Which was to be doue. PROP. XIX. THEO R. **SIMILAR triangles are to one another in the duplicate ratio of their homologous** fides. Let ABC, DEF be fimilar triangles, having the angle B equal to the angle E, and let AB he to... | |
| John Keill - 1782 - 399 pagina’s
...Similar Triangles are in the duplicate Proportion of their homologous Sides. LET ABC, DEF, be fimilar **Triangles" having the Angle B equal to the Angle E ; and let AB be to BC, as DE** is to EF, fo that BC he the Side homologous to E F. I fay, the Triangle ABC, to the Triangle DEF, has... | |
| Euclid, John Playfair - 1795 - 400 pagina’s
...given ftraight line fimilar tct one given, and fo on. Which was to be done. S PROP. XIX. THEO R. IMILAR **triangles are to one another in the duplicate ratio of their homologous** fides. Let ABC, DEF be fimilar triangles, having the nngle B equal to the angle E, and let AB be to... | |
| Alexander Ingram - 1799 - 351 pagina’s
...fimilar to CDKFE : and fo on. Which was to be done. PROP. BooK V|. PROP. XIX. THEOR. V>rv-vJ IMILAR **triangles are to one another in the duplicate ratio of their homologous** fides. Let ABC, DEF be fimilar triangles, having the angle B equal to the angle E, and let AB be to... | |
| Euclid, John Playfair - 1804 - 440 pagina’s
...the duplicate ratio of their homologous fides. D 13. def-5. Let ABC, DEF be fimilar triangles, havfng **the angle B equal to the angle E, and let AB be to** A BC, as DE to EF, fo that the fide BG is homologous to EFa : the triangle ABC has to the triangle... | |
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