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Angle trisection
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===With a string=== Thomas Hutcheson published an article in the ''[[Mathematics Teacher]]''<ref>{{cite journal|journal=Mathematics Teacher|volume=94 |issue=5 |date=May 2001 |pages=400β405 |last=Hutcheson |first=Thomas W. |title=Dividing Any Angle into Any Number of Equal Parts|doi=10.5951/MT.94.5.0400 }}</ref> that used a string instead of a compass and straight edge. A string can be used as either a straight edge (by stretching it) or a compass (by fixing one point and identifying another), but can also wrap around a cylinder, the key to Hutcheson's solution. Hutcheson constructed a cylinder from the angle to be trisected by drawing an arc across the angle, completing it as a circle, and constructing from that circle a cylinder on which a, say, equilateral triangle was inscribed (a 360-degree angle divided in three). This was then "mapped" onto the angle to be trisected, with a simple proof of similar triangles.
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