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 138
ngle EBC to the triangle LGH, so is (11.5.)the triangle ECD to the triangle LHK: but it has been proved, thatthe triangle EBC is likewise to the triangle LGH, as the triangleABE to the triangle FGL. Therefore, as the triangle ABE is to4hetriangle FGL, so is the triangle EBC to the triangle LGH, and… … triangle FGL, so is the polygon ABCDE (o the polygon FGHKL:but the triangle ABE has to the triangle FGL, the duplicate ratio ofthat which the side AB has to the homologous side FG. Thereforealso the polygon ABCDE has to the polygon FGHKL the duplicateratio of that which AB has to the homologous…
Euclid's Elements · Geometry · Trigonometry
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