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Analytic Geometry2D

Special Plane Curves - Theory & Concepts - Analytic Geometry Cycloid Epicycloid Visualizer

Analysis of advanced planar curves including cycloids, epicycloids, hypocycloids, and lemniscates.

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Cycloid & Epicycloid Tracer

Rolling Radius r0.80
Parameter θ (Angle)0°
Parametric Equations
x(θ)=r(θ−sin⁡θ)=0.80(θ−sin⁡θ)y(θ)=r(1−cos⁡θ)=0.80(1−cos⁡θ)\begin{aligned} x(\theta) &= r(\theta - \sin\theta) = 0.80(\theta - \sin\theta) \\ y(\theta) &= r(1 - \cos\theta) = 0.80(1 - \cos\theta) \end{aligned}

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