## Principles of Geometry, Volume 5University Press, 1960 - Geometry |

### Contents

INTRODUCTORY ACCOUNT | 1 |

Greatest possible number of double points of a plane curve | 10 |

Examples of elliptic curves | 18 |

Copyright | |

24 other sections not shown

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### Common terms and phrases

A₁ Abel's Theorem adjoint curve aggregate algebraic curve algebraic integral arbitrary general point arbitrary point b₁ branch place C₂ canonical curve canonical series coefficients coincident complete intersection conic consider constant coordinates coresidual corresponding cubic curve cubic surface curve C₁ curve in space curve of order cusp definite denote determinant dimensions double points equation everywhere finite integrals expression formula freedom g₁ genus given curve homogeneous infinity inflexion integral functions irreducible linear series linearly independent matrix meets the curve multiple points neighbourhood obtained order n-3 original curve osculating plane oval cut p₁ parameter pass plane curve poles polynomial power series primals of order prime proved quadric surface quartic quintic curve r₁ rational function Riemann surface rows ruled surface series g series of sets shewn space curve suppose surfaces of order tangent line theorem vanishes variable Veronese surface y₁ zero