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:
“If I could only live at the pitch that is near madness
When everything is as it was in my childhood
Violent, vivid, and of infinite possibility:
That the sun and the moon broke over my head.”
—Richard Eberhart (b. 1904)
“Like plowing, housework makes the ground ready for the germination of family life. The kids will not invite a teacher home if beer cans litter the living room. The family isn’t likely to have breakfast together if somebody didn’t remember to buy eggs, milk, or muffins. Housework maintains an orderly setting in which family life can flourish.”
—Letty Cottin Pogrebin (20th century)