4 Point Circle
This triangle contains four different special points, defined by the
triangle. These points are: intersection of angular bisectors (red lines,
point H), intersection of altitudes (purple lines, point K), intersection
of perpendicular bisectors (green lines, point F), and intersection of
the lines joining verticies with the midpoints opposite them (blue lines,
Three of the four points are always collinear. Is the other point ever
collinear? If so, in what cases is it collinear?
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