Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)
Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 124
as BAto AC : and also BD to DC, as B A to AF {2. G.); therefore BA is toAC, as BA to AF (ll. 5.); wherefore AC is equal to AF (9. 5.), andthe angle AFC equal (5.1.) to the angle ACF: but the angle AFCis equal to the exterior angle EAD, and the angle ACF to the alter-nate angle CAD; therefore also… … t2* liJLEMENTS the equal angles are homologous sides, that is, are the an-tecedents or consequents of the ratios. Let ABC, DCE, be fequianajular triangles, having the angle ABOequal to the angle DCE, and the angle ACB to the angle D^EC, andconsequently (32. 1.) the angle BAC equal to the angle CDE.…
Euclid's Elements · Geometry · Trigonometry
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