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.
Related category
• GEOMETRY
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