Principles of Geometry, Volume 5University Press, 1933 - Geometry |
Contents
INTRODUCTORY ACCOUNT | 1 |
Greatest possible number of double points of a plane curve 1011 | 10 |
Examples of elliptic curves Coresiduation Salmons | 18 |
26 other sections not shown
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Common terms and phrases
A₁ Abel's Theorem adjoint curve aggregate algebraic curve algebraic integral arbitrary points b₁ birational boundary curve branch place branch points C₂ canonical curve canonical series circuit closed curve coefficients complete intersection conic consider constants contain coordinates coresidual corresponding cubic curve cubic surface curve C₁ curve F=0 curve in space curve of order cusp denote determined dimensions double points equation everywhere finite integrals expression formula freedom fundamental curve g₁ genus given curve homogeneous infinities inflexions linear series linearly independent M₁ meet the curve multiple points n₁ neighbourhood obtained order n-3 original curve osculating plane oval cut p-curves parameter pass plane curve points of F=0 poles polynomial power series proved quadric surface quartic quintic curve rational function Riemann surface ruled surface series of sets sextic curve shew shewn suppose surfaces of order tangent line theorem vanishes variable y₁ zero