Principles of Geometry, Volume 5University Press, 1933 - Geometry |
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18 pages matching Abel's Theorem in this book
Page vii
Page ix
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Contents
INTRODUCTORY ACCOUNT | 1 |
Greatest possible number of double points of a plane curve 1011 | 10 |
Examples of elliptic curves Coresiduation Salmons | 18 |
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Common terms and phrases
A₁ Abel's Theorem adjoint curve aggregate algebraic curve algebraic integral arbitrary points b₁ boundary curve branch place branch points C₂ canonical curve canonical series coefficients coincident complete intersection conic consider constants contain coordinates coresidual corresponding cubic curve cubic surface curve C₁ curve in space curve of order cusp definite denote determined dimensions double points equation everywhere finite integrals expression formula freedom fundamental curve g₁ genus given curve homogeneous infinities inflexion linear series linearly independent meets the curve multiple points n₁ neighbourhood number of points obtained order n-3 original curve osculating plane oval cut p₁ parameter pass plane curve points of C₁ points of F=0 poles polynomial power series prime proved quadric surface quartic quintic curve rational function Riemann surface ruled surface series g series of sets shewn space curve suppose surfaces of order tangent line theorem values vanishes variable zero