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\begin{figure}\BoxedEPSF{AppleCrossSection.epsf scaled 700}\end{figure}

A Surface of Revolution defined by Kepler. It consists of more than half of a circular Arc rotated about an axis passing through the endpoints of the Arc. The equations of the upper and lower boundaries in the $x$-$z$ Plane are

z_\pm = \pm\sqrt{R^2-(x-r)^2}

for $R>r$ and $x\in [-(r+R), r+R]$. It is the outside surface of a Spindle Torus.

See also Bubble, Lemon, Sphere-Sphere Intersection, Spindle Torus

© 1996-9 Eric W. Weisstein