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 137
fore the angle ABE is equal to theangle FGL: and, because the polygons are similar, the whole angleABC is equal (def. 1. 6.) to the whole angle FGH; therefore the re-maining angle EBC is equal to the remaining angle LGH: now be-cause the triangles ABE, FGL are similar, EB : BA : : LG : GF; and also… … (6. 6.) the triangle EBC is equiangular to the triangle LGH, andsimilar to it (4. 6.). For the same reason, the triangle ECD is like-wise similar\o the triangle LHK; therefore the similar polygonsABCDE, FGHKL are divided into the same number of similar tri-angles. I OF GEOMETRY. BOOK YI. 137 A.lso…
Euclid's Elements · Geometry · Trigonometry
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