Projective geometry for use in colleges and schools (1911)
Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 57
s S^, S2, S3, S^, whichwill therefore be the four foci of the conic.18. Projective Aspect of two Equal Angles. Let LPM and LQM be twoequal angles. Then the four points LPQMare concyclic. Hence we may regard thepoints P, Q, L, M and theCircular Points I and J as alllying on the same conic. .-.… … THE CONIC 37 Conversely, i/ P[LIMJ] = Q[LIMJ], the angle LPM = the angle LQM. (We know that if A, B, C, D be four fixed points andP a moving point such cliat P[ABCD] is constant, thenP describes a conic passing through A, B, C, D.) Hence, since P[LIMJ] = Q[LIMJ], .•. the points L, P, M, Q, i, J lie…
Geometry, Projective
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