Back to Analytic Geometry repository
Analytic Geometry2D

Parametric Equations - Theory & Concepts - Analytic Geometry Cycloid Epicycloid Visualizer

Defining curves using an independent parameter, converting to rectangular form, and applications to conic sections.

Open the complete lesson

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}

Related simulations

Introduction to Analytic Geometry - Theory & Concepts - Analytic Geometry Distance SlopeIntroduction to Analytic Geometry - Theory & Concepts - Analytic Geometry Section FormulaIntroduction to Analytic Geometry - Theory & Concepts - Analytic Geometry Polygon AreaIntroduction to Analytic Geometry - Theory & Concepts - Analytic Geometry Conic Section Cutter