Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 103
from the homologousangle F, draw FH, FL Now, since the poly-gons are similar, the ho-mologous angles B and Gwill be equal, and the sides about the equal angles proportional (Def. 1): that is, AB : BC : : FG : GH. Hence, the triangles ABC and FGH have an angle in eachequal, and the sides about the… … BOOK IV. 103 Proportions of Polygons. two triangles .4 CD and FHI will then have an angle in eachequal, and the sides about the equal angles proportional: hence,they will be similar. In the same manner it may be shown that the trianglesAED and FKI are similar: and, hence, whatever be thenumber of…
Geometry · Plane trigonometry
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