Evolute and Involute


Evolute and Involute and some Examples

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Involute

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Evolute

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Find the involute of following curves

  1. \( (\cos t, \sin t) \)
  2. \( (\cos t, 2 \sin t) \)
  3. \( (t, t^2) \)
  4. \( (6 \cos t -4 \cos t ^3, 4 \sin t ^3) \)
  5. \( (t - \sin t, 1- \cos t) \)
  6. \( (t, \cosh t) \)

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