If we draw lines
passing through the symmedian K and parallels
to the sides, these lines cut the sides at six points lying in a circle
called the first Lemoine circle. Its center is the midpoint between K and
the circumcenter O.
If we draw
lines passing through the symmedian K and
antiparallels to the sides, these lines cut the sides at six points lying
in a circle called the second Lemoine circle. Its center is K.
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