Projective geometry for use in colleges and schools (1911)
Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 59
symptotes are equal (sincethe eccentricity = sec a, where 2a = angle betweenasymptotes). Hence the angle H^CjKj = the angle H2C2K2. i.e. Ci[HilKiJ] = C2[H.,IK2J]. Hence ttuo conies of equal eccentricity cut the Lineat Infinity in pairs of jioints forming with I and Jranges of equal cross-ratio.… … Fig. 21. Let X be the line (lying in the plane tt) which wewish to project to infinity. Let X be the pole of x with respect to the conic S. Let A, B and C, D be any two pairs of conjugatepoints with respect to S, lying on x. Then the intersections of x with S may be regardedas the pair of points…
Geometry, Projective
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