A Treatise on the Higher Plane Curves: Intended as a Sequel to a Treatise on Conic Sections |
Contents
CHAPTER I | 1 |
Relation between point 1 1 1 and line x + y + z 0 | 7 |
Relation between points where tangents meet the curve again | 10 |
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Common terms and phrases
acnodal angle asymptote axis bitangents Cayleyan centre circle circular points coefficients coincident points common tangents condition consecutive points coordinates coresidual corresponding points covariant crunodal cubic cusp cuspidal cubic denote determine differential double point double tangent envelope evolute fixed points foci four points functions given curve given line given points harmonic Hence Hessian hyperbola imaginary intersection invariant Jacobian last article line at infinity line joining locus meets the curve multiple point nodal cubic node nth degree origin oval pair parabola parallel parameter perpendicular point of inflexion points at infinity points of contact polar conic polar line pole quartic ratio reciprocal respectively right line shews stationary tangent substituting tangential equation theorem three points touch triangle trilinear coordinates triple point values vanish