regular smooth curve - Penn Math
regular smooth curve - Penn Math
regular smooth curve - Penn Math
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Hence the area of the �-tube about our <strong>curve</strong> is given by<br />
�s �t |det dF| dt ds = �s �t (1 � t �(s)) dt ds<br />
= �s (t � 1/2 t 2 �<br />
�(s))|–� ds = �s 2� ds = L . 2�<br />
= (length of <strong>curve</strong>) (width of strip),<br />
independent of the nature of the <strong>curve</strong>.<br />
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