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. 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}]