Isosceles triangle the hypotenuse to the right-angled vertex) divides the right triangle into two isosceles triangles. This is because the midpoint of the hypotenuse is the center of the circumcircle of the right triangle, and each of the two triangles created by the partition has two equal radii as two of its sides. Similarly, an acute triangle can be partitioned into three isosceles triangles by segments from its circumcenter, but this method does not work for obtuse triangles, because the circumcenter lies outside the triangle. Generalizing the partition of an acute triangle, any cyclic polygon that contains the center of its circumscribed
Given name Given name A given name (also known as a first name, forename or Christian name) is a part of a person's personal name. It identifies a specific person, and differentiates that person from the other members of a group (typically a family or clan) who have a common surname. The term "given name" refers to the fact that the name usually is bestowed upon a person, normally to a child by his or her parents at or close to the time of birth. A Christian name, a first name which historically was given at baptism, is now also typically given