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 241
equals the square on the radius, therefore DC. CRalso equals the square on the radius, and therefore R is the pole ofAB. Therefore the pole of any straight line through P always lieson the polar of the fixed point P. The proof is similar when P iswithin the circle. Q. E. D. 241. If through any… … cutting the circle in A, B, and C, D respectively. Join AC andBD intersecting in F, and DA and CB intersecting in E. JoinEF, and let it meet PB and PC in G and H, respectively. ThenEF is the polar of P. Because, through F a point within the triangle CED, straightlines are drawn to its angles,…
Geometry
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