In the previous post we talked about Thales’ theorem. Now, let’s talk notable points of the triangle. History The term “ceviana” comes from the name of the Italian mathematician Giovanni Ceva. A cevian is a line segment that connects a vertex of a triangle to any point on the line that contains the opposite side. The notable points of the triangle came from studies of Cevians. Examples of cevians include the median, height, and bisector. The median, for example, connects the vertex from which it starts to the midpoint of the side opposite that vertex. The barycenter is the meeting point of the medians and represents the center of gravity of the triangle.