Concepts in Curvature

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Cycloid

This curve is defined by the following parametric equations:

x(t)=at−bsin⁡(t)y(t)=a−bcos⁡(t)x(t) = at-b\sin(t) \\ y(t) = a-b\cos(t)
a=0.5a=0.5
b=1.5b=1.5

Tip: setting aa and bb to the same value will form cusps on the curve.

t=0.000t = 0.000