In the picture . This is the reason why and are called isogonal conjugates, since they form the same angle with . (iso= equal, gonal = angle).
Let be a point on the plane. The lines are concurrent by construction. Consider now their isogonals conjugates (reflections on the inner angle bisectors). The isogonals conjugates will also concurr by the fundamental theorem on isogonal lines, and their intersection point is called the isogonal conjugate of .
If is the isogonal conjugate of , then is the isogonal conjugate of so both are often referred as an isogonal conjugate pair.
|Date of creation||2013-03-22 13:01:13|
|Last modified on||2013-03-22 13:01:13|
|Last modified by||drini (3)|
|Defines||isogonal conjugate pair|