Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 102
COOK IV 11. Proportions o f Triangles ?B THEOREM XIX. Similar triangles are to each other as the squares described ontheir homologous sides Let ABC and DEF betwo siinilai triangles, andA L and DN t\ie squares de-scribed on the homologous TOsides AB, DE: then willthe triangle ABC : DEF : : AL : DN.… … and the two ACG, DFB, give DE: FH; AC : DF :: CGhence, (Bk. III. Th. v), we have AB : DE :: 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…
Geometry · Plane trigonometry
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