## Projective Geometry, Volume 2 |

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### Contents

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### Common terms and phrases

absolute involution affine group angle Assumption axes axis boundary called carries Chap circular transformation complete quadrangle complex congruent conic conjugate imaginary contains convex region Corollary corresponding defined definition denoted determined displacement Dist distinct points double points elementary transformations elliptic equations Euclidean geometry Euclidean group Euclidean plane Euclidean space follows geometric number system given harmonic sequence harmonically conjugate Hence homogeneous coordinates homology hyperbolic inversion plane line at infinity line joining linear matrix meets mid-point number of points ordered point triads ordered triad ordinary point orthogonal line reflection pairs of points parallel pencil of circles perpendicular point at infinity point of intersection point pair point reflection polar polygon projective geometry projective plane projective space Proof pseudo-points quadric rational rays real number real points regulus respectively rotation S(ABC satisfy segment sense sense-class set of points tangent Theorem translation triangle triangular region vectors vertices