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Trisecting the Angle

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Author:Steven Dutch; University of Wisconsin - Green Bay
Description: Why is trisecting an angle with a straightedge and compass impossible? Discussion includes several other proofs of impossibility (the largest prime number, the square root of 2, repeating patterns in the plane) and some alternate methods of trisection ("What's With the Ruler and Compass Anyway?"; the Archimedean Spiral; proving it can't be done).

Levels: High School (9-12), Early College
Languages: English
Resource Types: Articles
Math Topics: Prime Numbers, Rational/Irrational Numbers, Constructions, Symmetry/Tessellations, Logic/Foundations, Trigonometry

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