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For a Triangle and three points
,
, and
, one on each of its sides, the three Miquel circles
are the circles passing through each 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.
See also Miquel Point, Miquel's Theorem, Miquel Triangle