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