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:
“The etymologist finds the deadest word to have been once a brilliant picture. Language is fossil poetry. As the limestone of the continent consists of infinite masses of the shells of animalcules, so language is made up of images or tropes, which now, in their secondary use, have long ceased to remind us of their poetic origin.”
—Ralph Waldo Emerson (1803–1882)
“The family is on its way out; couples go next; then no more keeping cats or parrots.”
—Mason Cooley (b. 1927)