A neusis construction, also called a verging construction, is a geometric construction that permits sliding a marked ruler. Using a neusis construction, cube duplication, angle trisection, and construction of the regular heptagon are soluble. The conchoid of Nicomedes can also be used to perform many Neusis constructions (Johnson 1975). Conway and Guy (1996) give Neusis constructions for the 7-, 9-, and 13-gons which are based on angle trisection.
Neusis Construction
See also
Angle Trisection, Conchoid of Nicomedes, Cube Duplication, Geometric Construction, Heptagon, Mascheroni Construction, Matchstick Construction, Rectangle Folding, Ruler, Steiner ConstructionExplore with Wolfram|Alpha
References
Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 194-200, 1996.Johnson, C. "A Construction for a Regular Heptagon." Math. Gaz. 59, 17-21, 1975.Referenced on Wolfram|Alpha
Neusis ConstructionCite this as:
Weisstein, Eric W. "Neusis Construction." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NeusisConstruction.html