Steiner's Porism
If a Steiner Chain is formed from one starting circle, then a Steiner Chain is formed from any other startingcircle. In other words, given two nonconcentric Circles, draw Circles successivelytouching them and each other. If the last touches the first, this will also happen for any position of the firstCircle.
See also Hexlet, Steiner Chain
References
Coxeter, H. S. M. ``Interlocking Rings of Spheres.'' Scripta Math. 18, 113-121, 1952. Coxeter, H. S. M. Introduction to Geometry, 2nd ed. New York: Wiley, p. 87, 1969. Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 124-126, 1967. Forder, H. G. Geometry, 2nd ed. London: Hutchinson's University Library, p. 23, 1960. Gardner, M. ``Mathematical Games: The Diverse Pleasures of Circles that Are Tangent to One Another.'' Sci. Amer. 240, 18-28, Jan. 1979. Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 113-115, 1929. Ogilvy, C. S. Excursions in Geometry. New York: Dover, pp. 53-54, 1990.
- Epicycloid Radial Curve
- Epimenides Paradox
- Epimorphism
- Epispiral
- Epispiral Inverse Curve
- Epitrochoid
- Epitrochoid Evolute
- Epsilon
- Epsilon-Neighborhood
- Epstein Zeta Function
- Equal
- Equal by Definition
- Equal Detour Point
- Equality
- Equally Likely Outcomes Distribution
- Equal Parallelians Point
- Equiaffinity
- Equiangular Spiral
- Equianharmonic Case
- Equi-Brocard Center
- Equichordal Point
- Equichordal Problem
- Equidecomposable
- Equidistance Postulate
- Equidistant Cylindrical Projection