In plane geometry with triangle ABC, the ninepoint hyperbola is an instance of the ninepoint conic described by Maxime Bôcher in 1892. The celebrated ninepoint circle is a separate instance of Bôcher's conic: Given a triangle ABC and a point P in its plane, a conic can be drawn through the following nine points:the midpoints of the sides of ABC,the midpoints of the lines joining P to the vertices, andthe points where these last named lines cut the sides of the triangle.
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