This point is collinear with the Nagel Point, incenter, and Spieker center. It is always twice as far from the ortho- center as from the circumcenter, and it is collinear with those points together with the nine-point circle center. Its barycentric coordinates never change, and it always is located in the interior of the triangle. This point is a point of concurrency of three cevians (CHAY-vee-uns), and the ratio of each of the smaller segments of those cevians to point 
This point is collinear with the Nagel Point, incenter, and Spieker center. It is always twice as far from the ortho- center as from the circumcenter, and it is collinear with those points together with the nine-point circle center. Its barycentric coordinates never change, and it always is located in the interior of the triangle. This point is a point of concurrency of three cevians (CHAY-vee-uns), and the ratio of each of the smaller segments of those cevians to point of concurrency is 2 to 1. If a triangle is made of uniform density, this point is located at the center of mass. Name this point of intersection of the medians of a triangle.
This point is collinear with the Nagel Point, incenter, and Spieker center.
{centroids} [prompt on {center} of {mass}; prompt on {center} of {gravity}]