Poncelet-Steiner theorem
In geometry, the Poncelet-Steiner theorem on ruler-and-compass constructions states that whatever can be constructed by straightedge with compass, can be constructed by straightedge alone, if you are given a single circle and the location of its centre. This result is the best possible: a straightedge alone, without being given a circle, is not sufficient. (A straightedge alone cannot construct square roots.)
The result was conjectured by Jean Victor Poncelet in 1822, and proven by Jakob Steiner in 1833.
See also: Mohr-Mascheroni theorem.
External link
- Jacob Steiner's theorem (It is impossible to find the center of a given circle with the straightedge alone)