regular smooth curve - Penn Math
regular smooth curve - Penn Math
regular smooth curve - Penn Math
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Volumes of tubes...two problems.<br />
(1) Show that the area of a tube of radius � about a<br />
simple closed <strong>curve</strong> of length L in the plane is 2� L .<br />
(2) Show that the volume of a tube of radius � about<br />
a simple closed <strong>curve</strong> of length L in 3-space is � � 2 L .<br />
We will solve both of these problems, and the<br />
Frenet equations for <strong>curve</strong>s will be our main tool.<br />
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