Deriving the Equations of a Cycloid

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In this video, I show how to find the parametric equations for a cycloid. Sorry that the some of the animations are kinda botched - oh well ¯\_(ツ)_/¯.

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Just found your channel from the comment you left on Adam Neely's video, and this is great! Similar to 3Blue1Brown's videos but with your take on it.
Inb4 channel explodes

unflexian
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If the angle was measured from the top would it be R(cos(t)-1)?

mgfbixq
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Good animation actually. Cz i can't make them. :)

shandyverdyo