91K views · 915 reactions | Tautochrone Curve: a cycloid curve, when...

A curtate epicycloid is a fascinating type of curve generated by a point fixed at a distance less than the radius of a small circle as it rolls without slipping along the outside of a larger fixed circle. Unlike the standard epicycloid—where the tracing point lies exactly on the circumference—the curtate version creates loops that do not reach out as far, forming rounded, petal-like lobes that remain closer to the larger circle. This curve appears in various applications, including gear design a

"Ever heard of a cycloid? 🌀 Discover the beauty of this fascinating curve and its connection to geometry! 📐 In this video, we’ll explore how cycloids are formed, their unique properties, and their applications in physics and engineering. Join us on this mathematical journey! 🚀 Don’t forget to like, share, and comment your thoughts! #Cycloid #Geometry #MathInMotion #ScienceExplained #instareels #geometry #sciencereels | Ethical Explorations