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Neusis Construction

A geometric construction, also called a Verging Construction, which allows the classical Geometric Construction rules to be bent in order to permit sliding of a marked Ruler. Using a Neusis construction, Cube Duplication and angle Trisection are soluble. Conway and Guy (1996) give Neusis constructions for the 7-, 9-, and 13-gons which are based on angle Trisection.

See also Cube Duplication, Geometric Construction, Mascheroni Construction, Ruler, Trisection


Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 194-200, 1996.

© 1996-9 Eric W. Weisstein