For a triangle Δ A B C and three points A', B', and C', one on each of its sides, the three Miquel circles are the circles passing through each polygon vertex and its neighboring side points (i.e., A C' B', B A' C', and C B' A'). According to Miquel's theorem, the Miquel circles are concurrent in a point M known as the Miquel point. Similarly, there are n Miquel circles for n lines taken (n - 1) at a time.

Clifford's circle theorem | Miquel five circles theorem | Miquel point | Miquel's theorem | Miquel triangle