Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 155
enter to anyvertex, as a diameter, prove that the circumference passes through thefeet of the perpendiculars from the other vertices to the opposite sides. 295. Prove that the perpendiculars from the vertices of a triangle tothe opposite sides bisect the angles of the triangle formed by joining… … t Given the lines a, b, c, forming a A ABC. To prove that a circle can be described tangent to a, b, c. Proof. 1. Let 0 be the in-center, Ox, 02, 03 the ex-centers.Let OP, OQ, OB± a, b, c. Then A AB 0 5£ A A Q 0, and ABBO^ABPO. I, prop. XIX, cor. 7 2. .-. OQ = OB= OP. Why ? 3. .. P, Q, B are…
Geometry
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