Monday, October 9, 2017

Copernicus' Theorem



Consider two circles of radii R and R/2 with the smaller one rolling inside the bigger circle without slipping. Copernicus' Theorem states a surprising result that a point on the circumference of the small circle traces a straight line segment - a diameter of the big circle, to be precise.

(https://www.cut-the-knot.org/pythagoras/Copernicus.shtml)