The Complete Quadrilateral: More Points on the Orthocentric Line
Using pairs of opposite sides, drop perpendiculars from the midpoint of one to the other. These pairs of perpendiculars intersect in six points total, which lie on the Orthocentric Line.
X(5) in Kimberling's Encyclopedia of Triangle Centers, is the center of the nine-point circle, which is the unique circle passing through the midpoints of the sides of the triangle. The radius of the nine-point circle is one-half the circumradius.
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