| 释义 |
Cylindrical WedgeThe solid cut from a Cylinder by a tilted Plane passing through a Diameter of the base. It is alsocalled a Cylindrical Hoof. Let the height of the wedge be  and the radius of the Cylinder fromwhich it is cut  . Then plugging the points  ,  , and  into the 3-point equation for a Plane gives the equation for the plane as
 | (1) |
 then gives the parametric equations of the ``tongue'' of the wedge as
for  .To examine the form of the tongue, it needs to be rotated into a convenient plane. This can be accomplishedby first rotating the plane of the curve by 90° about the x-Axis using the Rotation Matrix and then by the Angle
 | (5) |
 -plane and has parametric equations
and is shown below.The length of the tongue (measured down its middle) is obtained by plugging  into the above equationfor  , which becomes
 | (8) |
 | (9) |
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