Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 103
:: CG : FH,or (Bk. III. Th. iv), AB : CG : . DE : FH. Now, the two triangles ABC and AKB have the commonbase AB ; and the triangles DEF and DEM have the commoncase DE; and since triangles on equal bases are to each otheias their altitudes (Th. ix, Cor.), we havehe triangle ABC : ABK :: CG : AK or… … But the squares AL andDN being each double of thetriangles A KB and DMEliave the sajne ratio ; hence, ABC : DEF : : AL : DN THEOREM XX. Two similar polygons may be divided into an equal number of triangles, similar each to each, and similarly placed. Let ABCDE and FGHIK be two similar polygons.…
Geometry · Plane trigonometry
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