Arbelos Area (visual proof)

This is a short, animated visual proof proving that the area of an arbelos is equal to the area of the circle with diameter given by the half circle chord obtained from the arbelos construction (from the tangent point of the two interior circles).

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This animation is based on a visual proof from Roger B. Nelsen that appeared in the April 2002 issue of Mathematics Magazine (https://www.jstor.org/stable/3219152 p. 144)

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#math​ #arbelos #geometry #pythagoreantheorem #thalestheorem #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #area #circle #geometricconstruction
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Music in this episode:
Descent by Houses of Heaven