A Miraculous Proof - Ptolemy's Theorem

Explore the fascinating world of geometry in this 38-minute video featuring mathematician Zvezdelina Stankova as she delves into the miraculous proof of Ptolemy's Theorem. Discover the elegant relationships between cyclic quadrilaterals and their diagonals, and learn how this ancient theorem connects to modern mathematics. Gain insights into the beauty and power of geometric proofs, and understand why this particular theorem is considered "miraculous." Follow along as Stankova breaks down complex concepts into accessible explanations, making this an engaging watch for both math enthusiasts and curious learners alike. For those eager to dive deeper, a second part of the video explores connections to pentagons and the Golden Ratio.

A Miraculous Proof (Ptolemy's Theorem) - Numberphile