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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, 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.


See also

Angle Trisection, Conchoid of Nicomedes, Cube Duplication, Geometric Construction, Heptagon, Mascheroni Construction, Matchstick Construction, Ruler, Steiner Construction

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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 Construction

Cite this as:

Weisstein, Eric W. "Neusis Construction." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NeusisConstruction.html

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