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A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 138

An illustration from A first course in projective geometry, 1913, leaf 138
inverse of V with respect to the givencircle (Chap. V. § 3). The centre of the required circle istherefore the point of intersection of XY with the straight linebisecting VK at right angles.] This circle will cut XY in a pair of conjugate points withrespect to the circle. For if OX cuts the circle… … Fig. 55. polars of X and Y will be a pair of conjugate lines. These willproject into conjugate lines with respect to the conic, the anglebetween which is equal to the angle which XY subtends at V(Chap. VIL § 3), i.e. a right angle. Also C, the point of inter-section of the polars of X and Y, being…

Geometry, Projective

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