Let y(t) be a regular plane curve and let be a constant. The parallel curve...

  

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Let y(t) be a regular plane curve and let λ be a constant. The parallel curve of y is defined by y(t) = y(t) + An, (t). 10. Let y(t) be a regular plane curve and let λ be a constant. The parallel curve of y is defined by (t) = y(t) + Ans(t). 2 Show that if Ak, (t)| < 1 for all values of t, then is a regular curve and that its signed curvature is K₂/1 - Aks. Let y(t) be a regular plane curve and let λ be a constant. The parallel curve of y is defined by y(t) = y(t) + An, (t). 10. Let y(t) be a regular plane curve and let λ be a constant. The parallel curve of y is defined by (t) = y(t) + Ans(t). 2 Show that if Ak, (t)| < 1 for all values of t, then is a regular curve and that its signed curvature is K₂/1 - Aks.