## Projective Geometry |

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### Common terms and phrases

ABCD AiBiCi angles axes axis bisects Brianchon theorem bundle chain of perspectivity chord circle coincide collinearly related complete quadrangle cone conjugate diameters conjugate lines conjugate points coplanar corre correlated corresponding elements corresponding points corresponding rays cross-ratio curve of second diagonal double conjugate double polarity duality elementary forms ellipse envelope of second Exercises fixed conic foci given line given point harmonic conjugate harmonic pencil harmonic range Hence hexagon hyperbola ideal line ideal point imaginary points inversion involution KLMN lines joining corresponding locus meet pair of conjugate pairs of corresponding pairs of points parabola parallel perpendicular perspective position point of contact points and lines polar line projective geometry projectively related sheaves projector quadric transformation reciprocal regulus related planes ruled surface second class second order segment self-polar triangle sheaf of planes sheaf of rays sides sponding straight line superposed tangents three points vertex vertices