Smart, Edward Howard · London : Macmillian and Co. · leaf 234
and Cross-Centre is due toProf. Filon. 206 PROJECTIVE GEOMETRY Let the bases of the ranges bep and p. Employing the notationof the previous article, let thepoint of intersection of p and pbe denoted by X or Y, accordingas it is considered as belonging tothe range on /> or to that on p. Let the… … Fig. 1056. Let the corresponding points onthe two ranges be respectively Xand Y ; further, let points P, Qof the second range correspond toP, Q of the first. Then, since the ranges are homo-graphic, {XYPQ} = {XYPQ}. .-. P{XYPQ} = P{XYPQ}. But these pencils have a commonray PP. Let the corresponding…
Geometry, Projective
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