The Six Circles Theorem
The Six Circles Theorem
Fit a circle into one corner of a triangle. Now fit a second
circle into a second corner so that it’s tangent to the
first circle. Then fit a third circle into the third
corner so that it’s tangent to the second circle.
Keep this up, cycling among the three corners,
and the sixth circle will be tangent to the first one.
In this drawing, start with circle 1 in the lower left corner and
proceed clockwise - circle 6 will end up tangent to circle 1!
credit: Greg Ross
http://www.futilitycloset.com/2014/02/03/the-six-circles-theorem/
Image: Wikimedia Commons