Evolute and involute

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Evolute and involute

  1. 1. Evolute and InvoluteLet 𝐶 and 𝐶1 are two one-one correspondence space curvessuch that tangent at any point on 𝐶 is a normal to thecorresponding point on 𝐶1 then C is called evolute of 𝐶1 and 𝐶1 is called involute of 𝐶.i.e. if C is evolute of 𝐶1 then a. 𝐶1 lies in the tangent surface of C b. tangent vectors to 𝐶 and 𝐶1 are perpendicular
  2. 2. Red curve Blue curve - Evolute- Involute
  3. 3. Red curve Blue curve - Evolute- Involute
  4. 4. Dotted curve Circle - Evolute - Involute

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