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Double points of projectivities
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according affine angle assumptions axes axis boundary called carries Chap circle collinear collineation columns common complex condition congruent conic conjugate consisting contains convex region co÷rdinates COROLLARY corresponding defined definition denoted determined direct displacement Dist distinct edge effects elementary transformations elements elliptic ends equations equivalent Euclidean plane EXERCISES exists expressible fixed follows four geometry given harmonic Hence hyperbolic imaginary infinity interior intersection invariant inversion involution leaving linear matrix measure meets negative obtained opposite ordered ordinary oriented orthogonal line reflection pair parabolic parallel pass pencil perpendicular plane points polar polygon positive projective Proof proved quadric rational rays referred regard regulus relation represented respectively rotation satisfy segment sense sense-class separated set of points sides simple tangent Theorem theory tion transformation translation triads triangle triangular region vectors vertices