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Poncelet-Steiner Theorem


All Euclidean geometric constructions can be carried out with a straightedge alone if, in addition, one is given the radius of a single circle and its center. The theorem was suggested by Poncelet in 1822 and proved by Steiner in 1833. A construction using straightedge alone is called a Steiner construction.


See also

Geometric Construction, Steiner Construction

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References

Dörrie, H. "Steiner's Straight-Edge Problem." §34 in 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, pp. 165-170, 1965.Steiner, J. Geometric Constructions with a Ruler, Given a Fixed Circle with Its Center. New York: Scripta Mathematica, 1950.

Referenced on Wolfram|Alpha

Poncelet-Steiner Theorem

Cite this as:

Weisstein, Eric W. "Poncelet-Steiner Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Poncelet-SteinerTheorem.html

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