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.
Poncelet-Steiner Theorem
See also
Geometric Construction, Steiner ConstructionExplore with Wolfram|Alpha
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 TheoremCite this as:
Weisstein, Eric W. "Poncelet-Steiner Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Poncelet-SteinerTheorem.html