Spherical Cycloid

spherical cycloid rolli 001
spherical cycloid rolli 001
spherical cycloid tube
spherical cycloid

Construction

Spherical Cycloid  001
(Anaglyph 3D) Spherical Cycloid is formed by a circle rolling on a larger circle.

Evolute

spheric cycloid osculat 001
spheric cycloid and osculating circle. The center of osculating circle traces out a curve called its evolute.
spheric cycloid normals evolute 36468
spheric cycloid and its normals, forming its evolute

Spherical_Cycloid.pdf