The involute of a circle (Figure 8), traced by a point at the end of a thread
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The involute of a circle (Figure 8), traced by a point at the end of a thread unwinding from a circular spool of radius R, has parametrization (see Exercise 29 in Section 11.2)
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r(0) = (R(cos0+ 0 sin), R(sin 0 - 0 cos 0))
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