Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 139
sections in each pyramid v:ill fi proportional to the bases Let S—ABCDE, andS—XYZ, be two pyra-mids, having a commonvertex, and their bases sit-uated in the same plane.If these pyramids are cutby a plane parallel to theplane of their bases, giv-ing the sections abede, A ^^~~^1xyz, then will the… … abede SA Sa hence, ABCDEFor the same reason, XYZ : xyz : : SX* : «?.But since abc and xyz are in one plane, the lines SA, Sa, SX,Sx, are proportional to SO, So : (Bk. V.Th. xii. Cor.), therefore, SA : Sa : : SX : Sx:hence, ABCDE : abede : : XYZ : xyz.consequently, the sections abede, xyz, are to…
Geometry · Plane trigonometry
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