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 257
e. d. N. B. That the intersections of the corresponding sides lie inthe same straight line follows immediately from (183), since thetriangles* A BG, ABC have been proved to be co-polar. 259. Through a given point without cC given circle, anytransversal is drawn cutting the circle, and a point taken… … Let 0 be the centre of the given circle, and P the given point.Draw any secant PB, and take the point Q such that JL _!_ JL PQ ~ PA + PB The locus of Q is required. 261.] AND IN MODERN GEOMETRY. 229 Let CD the polar of P meet AB in C; then P, A, C, B forman harmonic range, and therefore (176,…
Geometry
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