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FOUNDATIONS SECTION PAGE
Double points of projectivities
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according affine angle assumptions axes axis boundary called carries Chap circle circular collinear collineation common complex condition congruent conic conjugate consists contains convex region co÷rdinates COROLLARY corresponding defined definition denoted determined direct displacement Dist distinct double points effects elements elliptic equation equivalent Euclidean plane EXERCISES exists expressible fixed follows four geometry given harmonic Hence hyperbolic identity imaginary infinity interior intersection invariant inversion involution leaving line joining linear matrix measure meets mid-point obtained opposite ordered oriented orthogonal line reflection pair parabolic parallel pass pencil perpendicular plane point pair points polar polygon positive projective Proof proved quadric rational rays real points referred regard regulus relation represented respectively rotation satisfy segment sense sense-class separate set of points sides similar space tangent Theorem theory tion transformation translation triad triangle vectors vertices