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.

**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.

© 1996-9

1999-05-26