Lemma
MediumCurves in space
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §12.2 Plane Motion: Projectiles and Cycloids, #23 · Multivariable Calculus · Curves in space

If a circle of radius … rolls inside a circle of radius…

This problem is about cycloids and related curves

If a circle of radius rolls inside a circle of radius , show that one point on the small circle goes across on a straight line.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §12.2 Plane Motion: Projectiles and Cycloids, #23

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