The Euler line connects the center of the nine-point circle, the (*) circumcenter, the orthocenter, and the centroid, and this figure's angles always add up to 180 degrees.
One important point in this figure can be found by taking the isotomic conjugate of the Gergonne point; that point is the Nagel point. The Euler line connects the center of the nine-point circle, the (*) circumcenter, the orthocenter, and the centroid, and this figure's angles always add up to 180 degrees. Acute, obtuse, and right are varieties of, for ten points, what three-sided geometrical figure?
One important point in this figure can be found by taking the isotomic conjugate of the Gergonne point; that point is the Nagel point.
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