Inversive Geometry |
Contents
OPERATIONS OF ELEMENTARY GEOMETRY Page | 1 |
ALGEBRA Page | 12 |
THE EUCLIDEAN GROUP Page | 24 |
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a₁ a₂ algebraic angle antigraphy apse arcs axis b₁ b₂ base-circle base-line base-point C₁ C₂ canonical form cardioid centre centroid circle circumcentre circumcircle clinant co-ordinates common normal conjugate consider constant corresponds cross-ratios curvature curve cusp cylinder distance double point doublets elliptic Euclidean Euclidean geometry Euclidean group Euclidean space Exercise Fermat points fixed points flow focal pairing foci four points function geometry given gives H₁ h₂ Hence Hessian points homography homology hyperbolic images intersect invariant inversion involution Jacobian L₁ limaçon map-equation meet mid-point motion nine-point circle orthocentre orthogonal osculant osculant circle P₁ parabola parallel parameters perpendicular plane polar polygon positive quadratic radius rational reflexion rhombus rotation s₁ sends sin² singular points sink sphere t₁ t₂ tangents theorem three points touch triangle V₁ vanishes vector vertices whence write x-plane x₁