For a triangle and three points , , and , 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., , , and ). According to Miquel's
theorem, the Miquel circles are concurrent in
a point
known as the Miquel point. Similarly, there are Miquel circles for lines taken at a time.
and three points 
, 
, and 
, 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., 
, 
, and 
). According to Miquel's
theorem, the Miquel circles are concurrent in
a point 
known as the Miquel point. Similarly, there are 
Miquel circles for 
lines taken 
at a time.
