The solid cut from a Cylinder by a tilted Plane passing through a Diameter of the base. It is also
called a Cylindrical Hoof. Let the height of the wedge be and the radius of the Cylinder from
which it is cut . Then plugging the points , , and into
the 3-point equation for a
Plane gives the equation for the plane as

(1) |

(2) | |||

(3) | |||

(4) |

for . To examine the form of the tongue, it needs to be rotated into a convenient plane. This can be accomplished by first rotating the plane of the curve by 90° about the

(5) |

(6) | |||

(7) |

and is shown below.

The length of the tongue (measured down its middle) is obtained by plugging into the above equation
for , which becomes

(8) |

(9) |

© 1996-9

1999-05-25