tion on XY of AB is CD, of EG isEH, of FG is FH, of KM is NM, etc. The projectionsof both EG and FG on HG is HG itself; and similarlythe ])rojections of both KL and KM on KN is KN. 144 Geowetry. Proposition XIV. Theorem. In any triangle the square on the side oppo-site any angle, according as the… … Let ABC be a A, and from C let CN be drawn ±rto AB, so that AN is the projection of AC on AB. TJieu BC-+2BA.AN = BA-+AC-, according as the LAis obtuse or acute. At A make LBAA,^ LC, and ZCAAo=^B, so thatthe As BAjA, AAoC are shnHar to the ABAC, the Lsat A,, A. being = zlBAC. Thus AA^Ao is an…
Geometry · Geometry, Plane
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