Impossible Geometry Problems: Trisecting Angle, Doubling Cube, Squaring Circle
Learn why there is no straight edge and compass construction that allows one to trisect an arbitrary angle, double the volume of a cube, or construct a square with area equal to that of a circle -- three problems that stumped the ancient Greeks but that were solved by abstract algebra. Created by Daniel Arn and Noe Reyes.
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Constructibility 1: Compass & Straightedge
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Euclid's Big Problem - Numberphile
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Constructibility 4: Three Impossible Constructions
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Constructibility 5: Gauss' Construction of Regular 17 gon
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2000 years unsolved: Why is doubling cubes and squaring circles impossible?
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A Miraculous Proof (Ptolemy's Theorem) - Numberphile
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Einstein OBSERVED Ramanujan's Work And Saw Mathematics That Shouldn't Exist
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How Maxwell's Equations Were Discovered
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Twelve Ways to Trisect an Angle – David Richeson
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The Brachistochrone, with Steven Strogatz
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Squaring the Circle - Numberphile
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The Golden Ratio of Mecca: Unveiling the Kaaba's Sacred Geometry
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When Math Isn’t Based in Reality
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Forbidden Construction: Trisect an Angle - Geometry with a Circle Arc Template & Neusis Straightedge
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How to Trisect an Angle with Origami - Numberphile
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Major Gravitational Wave Observations Reveal Unusual Detections
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Constructibility 7: Overview of Constructibility Results
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Angle Trisection Problem
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How Archimedes Almost Broke Math with Circles
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