1.) As the triangle moves, the circumcenter moves with it so there is always a point of intersection between the three medians. 2.) When the triangle is obtuse, the circumcenter exists outside of the triangle. 3.) When the triangle is acute, the circumcenter still exists outside of the triangle. 4.) The circumcenter and the orthocenter may behave in similar ways in regards to the position of a triangle because both are created based on the perpendicular bisectors of the sides of the triangle. 5.) Based on this information, the circumcenter must produce right angles. 6.) The circle runs through three of the points of the triangle. This means that about a little less than half of the triangle is inside of the circle because it uses it's points.