Six Circle Theorem

The theorem says that if you draw a triangle and insert a circle that touches two sides, you now have to draw another circle that touches two other sides and the first circle.

Now draw a third circle that touches the second one and touches the remaining two sides

Keep following the pattern

Fourth Circle is green
Fifth Circle in yellow
Sixth Circle in Orange

The seventh circle is identical to the first one. In other words the circles form a cycle of six, hence the name of the theorem is the six circles theorem.