Projective Geometry, Volume 2 |
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Contents
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Common terms and phrases
according affine angle assumptions axes axis called carries Chap circle collinear collineation common complex condition congruent conic conjugate conjugate imaginary consisting contains coördinates COROLLARY corresponding defined definition denoted determined direct displacement Dist distinct double points effects elements elliptic equation equivalent Euclidean plane EXERCISES exists expressible follows four geometry given harmonic Hence homology hyperbolic identity interior invariant involution leaving line joining measure meets mid-point obtained opposite ordered ordinary point orthogonal line reflection pair parabolic parallel pass pencil perpendicular point pair point reflection points polar positive projective Proof properties proved quadric rational rays real points reduces referred regard region regulus relations represented respectively result rotation satisfy segment sense separate set of points sides similar space symmetry tangent Theorem theory tion translation triangle vectors vertices