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Steiner Construction

A construction done using only a Straightedge. The Poncelet-Steiner Theorem proves that all constructions possible using a Compass and Straightedge are possible using a Straightedge alone, as long as a fixed Circle and its center, two intersecting Circles without their centers, or three nonintersecting Circles are drawn beforehand.

See also Geometric Construction, Mascheroni Construction, Poncelet-Steiner Theorem, Straightedge


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. Translated from the first German ed. (1833). New York: Scripta Mathematica, 1950.

© 1996-9 Eric W. Weisstein