THE DIMATU

• Medial triangle or auxiliary triangle : the triangle IJK with I midpoint of [AB], J midpoint of [AC] and K midpoint of [BC] is called the medial triangle or auxiliary triangle of a given triangle ABC.

• Medial circle : the circumcircle of the medial triangle of a given triangle ABC is called the medial circle of ABC.

• Median in a triangle : the straight line from a triangle's vertex  to the midpoint of the opposite side is called a median of the triangle. The three medians of a triangle are concurrent in the triangle's centroid.

• Median triangle : we called median triangle of a given triangle ABC the triangle whose sides are equal and parallel to the medians of ABC.