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" SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. "
The school edition. Euclid's Elements of geometry, the first six books, by R ... - Side 271
av Euclides - 1864
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 364 sider
...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...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1733 - 397 sider
...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,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...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...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid, Edmund Stone - 1765 - 464 sider
...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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...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...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 399 sider
...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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 sider
...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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 sider
...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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