Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 74
)C,GH : iMT :: £Z) : DC. 72. TAe circfe through the feet of the perpendiculars of atriangle bisects the segments of these perpendiculars towardsthe angles, and the sides of the triangle. Also its radius ishalf the radius of the circumscribed circle, and its centre isthe middle point of the straight… … D F G middle points of the sides ; G, H, K the feet of the perpendicularsintersecting in L, and 0 the centre of the circumscribed circle. Fig. 1. Because E is the middle point of A C, and the angleAGC is right, therefore AE and EG are equal, and therefore theangles AGE and EAG are equal; similarly,…
Geometry
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