Infinite Family
A Steiner chain between two non-intersecting circles can always be transformed into another Steiner chain of equally sized circles sandwiched between two concentric circles. Therefore, any such Steiner chain belongs to an infinite family of Steiner chains related by rotation of the transformed chain about O, the common center of the transformed bounding circles.
Read more about this topic: Steiner Chain
Famous quotes containing the words infinite and/or family:
“I feel that the Godhead is broken up like the bread at the Supper, and that we are the pieces. Hence this infinite fraternity of feeling.”
—Herman Melville (1819–1891)
“A family with an old person has a living treasure of gold.”
—Chinese proverb.