Principles of Geometry, Volume 5

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