Poncelet-Steiner theorem
From Free net encyclopedia
(Difference between revisions)
| Revision as of 07:47, 28 March 2006 John Reid (Talk | contribs) fix cat ← Previous diff |
Current revision John Reid (Talk | contribs) fix cat |
Current revision
In geometry, the Poncelet-Steiner theorem on compass and straightedge construction states that whatever can be constructed by straightedge and compass together can be constructed by straightedge alone, if given a single circle and its centre. This result is the best possible: a straightedge alone, without a circle given, 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.
[edit]
External link
- Jacob Steiner's theorem at cut-the-knot (It is impossible to find the center of a given circle with the straightedge alone)