Projective Geometry, Volume 2Ginn, 1918 - Geometry, Projective |
Contents
FOUNDATIONS SECTION PAGE 1 Plan of the chapter | 1 |
Assumption K | 3 |
Double points of projectivities | 5 |
Copyright | |
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Common terms and phrases
A₁ A₂ absolute involution affine assumptions axis B₁ B₂ boundary C₁ called carries Chap circular transformation Clifford parallels collinear complex congruent conic 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 H₁ harmonic sequence harmonically conjugate Hence hyperbolic invariant inversion plane involution line at infinity line joining linear matrix meets mid-point number of points number system ordered triad ordinary point orthogonal line reflection pairs of points parabolic parallel perpendicular point at infinity point of intersection point pair point reflection polygon projective geometry projective space Proof 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 x₁