## Modern projective geometry |

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### Contents

Preliminaries | 1 |

Some Algebraic Systems | 3 |

Vector Spaces | 4 |

Copyright | |

18 other sections not shown

### Common terms and phrases

affine coordinate affine space algebraic set automorphism axis collineation complete quadrangle component configuration conic conjugate coordinate vectors coordinatization corollary to Theorem correlation cross ratio curve F curve of order defined Definition Desargues Desarguesian Desarguesian plane determines dimension distinct lines distinct points division ring dual elation element equation exactly Exercise exists Fano Fano plane field F finite plane fixed point flexes frame function geometry H(AB Hence homology identity integer intersect isomorphism Lemma linear m-chain matrix Moulton plane multiple nonidentity nonsingular point nonzero one-one Pappian permutation planar ternary ring plane of order point curve polar polynomial prime projective geometry projective plane projective space proof of Theorem Pu P2 Q0Qi quadrangle quadric Section I.7 self-polar simplex singular point subplane subset subspace of PnF Suppose tangent THEOREM 2 Let unique vector space zero