9 Point Circle of a Triangle Inscribed in a Right Hyperbola

If a rectangular hyperbola circumscribes a triangle, the center of the hyperbola lies on the 9 point circle of the triangle. The 9 point circle is the circumcircle of the medians of the triangle’s sides. We see from its equation that it passes through the origin, which is the center of the hyperbola Y=a/X. Expressions |
||