In this video, we delve into one of math’s most celebrated proofs: Euclid's Proof from Elements (Proposition 1.47). Journey back 2000 years and step into the geometric mindset of the Greeks, where we transform land and agricultural fields into a canvas of profound mathematical principles. With a story of a farmer named Leo, we illustrate the timeless truth of the Pythagorean Theorem through Euclid’s ingenious geometric constructions. Witness the elegance and brilliance of Euclid’s proof and appreciate how ancient geometry shapes our modern understanding. Here's a chance to see the beauty of math in action!
Video 3: The iconic proof of the Pythagorean Theorem by Euclid
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I spent about a year investigating the Pythagorean Theorem and learned a lot of cool math concepts. I summarize it in a video series called "A Pythagorean Theorem Story". The series is organized in 2 parts of 5 videos each. Part 1, titled "Following Brilliance" focuses on 3 main proofs of the Theorem. Part 2, titled "Lost and on my own" takes a step back and compares and contrasts the proofs. This was the real fun part as I had no road map to follow. By giving myself permission to be curious, I discovered new things that I had never seen before. The entire series is a journey of discovery and appreciating the beauty of geometry.
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