Lemma
MediumCurves in space
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §12.2 Plane Motion: Projectiles and Cycloids, #21 · Multivariable Calculus · Curves in space

Show that the tangent to the cycloid at … in Figure 12.6a…

This problem is about cycloids and related curves

Show that the tangent to the cycloid at in Figure 12.6a goes through . Where is this point on the rolling circle?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §12.2 Plane Motion: Projectiles and Cycloids, #21

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