Steiner Construction

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

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

• Hermann-Mauguin Symbol
• Hermann's Formula
• Hermite Constants
• Hermite Differential Equation
• Hermite-Gauss Quadrature
• Hermite Interpolation
• Hermite-Lindemann Theorem
• Hermite Polynomial
• Hermite Quadrature
• Hermite's Interpolating Polynomial
• Hermite's Theorem
• Hermitian Form
• Hermitian Matrix
• Hermitian Operator
• Hermit Point
• Heronian Tetrahedron
• Heronian Triangle
• Heron's Formula
• Heron Triangle
• Herschel
• Herschfeld's Convergence Theorem
• Hessenberg Matrix
• Hesse's Theorem
• Hessian Covariant
• Hessian Determinant