Deriving the Equations of an Epicycloid

In this video, we derive the parametric equations describing an epicycloid - a shape similar to a regular cycloid, but instead of rolling a circle along a plane, we roll along another circle. Cycloid derivation:    • Deriving the Equations of a Cycloid   Interactive epicycloid: https://www.desmos.com/calculator/y66... Discord:   / discord   Subscribe for more: https://goo.gl/yftKn4 Further reading ============= https://en.wikipedia.org/wiki/Epicycloid http://mathworld.wolfram.com/Epicyclo... https://en.wikipedia.org/wiki/Deferen...