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Elliptic Plane


The Real Projective Plane with elliptic Metric where the distance between two points $P$ and $Q$ is defined as the Radian Angle between the projection of the points on the surface of a Sphere (which is tangent to the plane at a point $S$) from the Antipode $N$ of the tangent point.


Coxeter, H. S. M. Introduction to Geometry, 2nd ed. New York: Wiley, p. 94, 1969.

© 1996-9 Eric W. Weisstein