(plural nine-point circles)
So called because the circle passes through nine points of interest: the feet of the three altitudes, the centers of the three sides, and the midpoints of the segments which join the triangle's vertices with its orthocenter.
"nine-point-circle." YourDictionary, n.d. Web. 17 October 2018. <http://www.yourdictionary.com/nine-point-circle>.
nine-point-circle. (n.d.). Retrieved October 17th, 2018, from http://www.yourdictionary.com/nine-point-circle
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