Nine Point Circle: Circle that passed through the following points  -

• 3 Mid-points of the sides
• 3 Feet of the altitudes
• 3 Mid-points of the segments from the respective vertices to the orthocenter

Center of Nine Point Circle (N):  Determined as the intersection between the perpendicular bisectors of the sides of the the 3 internal triangles.

If Geometers Sketchpad available:  GSP Nine Point Circle, Nine Point Center

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