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FOUNDATIONS SECTION PAGE 1 Plan of the chapter
Double points of projectivities
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absolute involution affine affine geometry angle Assumption axes axis boundary called carries Chap Clifford parallels complex congruent conic conies conjugate imaginary contains convex region Corollary corresponding defined definition denoted determined displacement Dist double points elementary transformations elliptic equations Euclidean geometry Euclidean group Euclidean plane Euclidean space follows given harmonic sequence harmonically conjugate Hence homogeneous coordinates hyperbolic inversion plane line at infinity line joining linear matrix meets mid-point noncollinear number of points ordered point triads ordered triad ordinary point orthogonal line reflection pair of lines pairs of points parabolic metric parallel pencil of circles perpendicular point at infinity point of intersection point pair point reflection polygon projective collineation projective geometry projective plane projective space Proof pseudo-points quadric rational rays real number real points regulus respectively rotation S(ABC satisfy segment sense-class set of points tangent Theorem translation triangle triangular region vectors vertices