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Of The First N Integers; The Pythagorean Theorem Using Negative Space/Sliding Rectangles/Chou Pei Suan Ching; The Formula For The Sum Of The First N Odd Integers; And The Infinite Geometric Series Of Positive Powers Of 1/2 (Using A Rectangle/Square Dissection Of A Unit Area Square). We Include Brief Justifications For These Visual Proofs. If You Like This Video, Consider Subscribing To The Channel Or Consider Buying Me A Coffee: Https://Www.buymeacoffee.com/Visualproofs. Thanks! The First Proof Was Known To The Ancient Greeks (Cited By Martin Gardner), The Second Proof Is Adapted From The Chou Pei Suan Ching (Around 200 Bce According To Roger Nelsen), The Third Is Attributed To Nicomachus Of Gerasa.
By Roger Nelsen, And The Final One Is Attributed To Warren Page (From The September 1981 Issue Of Mathematics Magazine, Page 201 Https://Www.jstor.org/Stable/2689632 ). The First Three Can All Be Found In Roger Nelsen's First Compendium, "Proofs Without Words: Exercises In Visual Thinking: Https://Bookstore.ams.org/View?Productcode=Clrm/1 . To Learn More About Animating With Manim, Check Out: Https://Manim.community”. According to user @japan_reels: “Por Que Eres Ese Mezcal Que No Pedí Video”. Creator @tiktok_tokyo: “Tang Tang Kelentang Steal A Brainrot Video”. As noted by @viral_japan: “Brandon Lake Greenville Sc Video”. In another post by @buzz_jp: “I Tried The New Bionic Liquid Bronzer From Video”. Creator @creator_jp: “Does Condensed Milk Go Bad Video”. As noted.
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