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Neusis construction





Neusis construction
A geometric construction that breaks the strict rules of classical Greek straightedge-and-compass construction (see constructible) by allowing a marked ruler to be slid into different positions. Neusis construction makes possible duplicating the cube and trisecting an angle. John Conway and Richard Guy have also shown how Neusis constructions, based on angle trisection, can be used to draw regular polygons with 7, 9, and 13 sides.


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   • GEOMETRY