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 274
e.Q. E. F. N.B. Since (145), in general, two triangles can be inscribedin a circle having their sides passing through three fixed points,two triangles can generally be described as required in thisproposition. 279. Prove that (246) is the reciprocal of (215). Let the three chords A A, BBf, CCr pass… … tangents at the extremities of A A, BB, CC meet in B, E, Frespectively; then (240) the points D, E, F lie on the polar of 0.Therefore DEF is a straight line. Let the tangent at P meetthe three pairs of tangents from D, E, F in the six points L,M, N, R, S, T; then these six points are evidently the…
Geometry
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