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An introductory account of certain modern ideas and methods in plane analytical geometry (1894)

Scott, Charlotte Angas, b. 1858 · London, New York : Macmillan and Co. · leaf 228

An illustration from An introductory account of certain modern ideas and methods in plane analytical geometry, 1894, leaf 228
d the line corresponds to itself as a whole. Hencethe point in which XY meets AB corresponds to the pointin which XY meets AE. But these points coincide at C(Fig. 52). Thus in the involution on XF one point, otherthan the double points, coincides with its correspondent, andtherefore every point on… … Fig. yl. involution on OP, in wliich PP are correspondents ; hence{OR, PP) is harmonic, and the points of the plane arc con-nected by the harmonic transformation, as are also the linesof the plane. 225. From § 223 we see that if it be known that twofigures are in perspective, then the fact that one…

Geometry, Analytic -- Plane

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