Is the evolute always a regular curve? (that is, the tangent vector of this curve is nonzero at any time)
2026-03-28 14:53:44.1774709624
Is the evolute always a regular curve?
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Evolutes in plane (equation y= x + R n where n is normal vector) have a cusp at point of symmetry in smooth continuous curves as radius of curvature R is a maximum or minimum with third order derivative vanishing.