Triangle centers

Apollonius point

In triangle geometry, the Apollonius point is a special point associated with a plane triangle. The point is a triangle center and it is designated as X(181) in Clark Kimberling's Encyclopedia of Triangle Centers (ETC).The Apollonius center is also related to the Apollonius problem. In the literature, the term "Apollonius points" has also been used to refer to the isodynamic points of a triangle. This usage could also be justified on the ground that the isodynamic points are related to the three Apollonian circles associated with a triangle. The solution of the Apollonius problem has been known for centuries. But the Apollonius point was first noted in 1987. (Wikipedia).

Apollonius point
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Related pages

Concurrent lines | Isodynamic point | Encyclopedia of Triangle Centers | Apollonian circles | Apollonius of Perga | Triangle center | Geometry | Triangle | Plane (geometry)