If a Steiner chain is formed from one starting circle, then a Steiner chain is formed from any other starting
circle. In other words, given two circles with one interior
to the other, draw circles successively touching them
and each other. If the last touches the first, this will also happen for any position
of the first circle .
See also Hexlet ,
Seven
Circles Theorem ,
Steiner Chain
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References Allanson, B. "Steiner's Porism" java applet. http://members.ozemail.com.au/~llan/steiner.html . Coolidge,
J. L. A
Treatise on the Geometry of the Circle and Sphere. Coxeter, H. S. M. "Interlocking Rings of Spheres."
Scripta Math. 18 , 113-121, 1952. Coxeter, H. S. M.
Introduction
to Geometry, 2nd ed. Coxeter,
H. S. M. and Greitzer, S. L. Geometry
Revisited. Forder,
H. G. Geometry,
2nd ed. 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. Ogilvy, C. S.
Excursions
in Geometry. Wells, D.
The
Penguin Dictionary of Curious and Interesting Geometry. Referenced on Wolfram|Alpha Steiner's Porism
Cite this as:
Weisstein, Eric W. "Steiner's Porism."
From MathWorld https://mathworld.wolfram.com/SteinersPorism.html
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