Feuerbach hyperbola

In geometry, the Feuerbach hyperbola is a rectangular hyperbola passing through important triangle centers such as the incenter, orthocenter, Gergonne point, Nagel point, mittenpunkt and Schiffler point. The center of the hyperbola is the Feuerbach point, the point of tangency of the incircle and the nine-point circle.

Overview

In geometry, the Feuerbach hyperbola is a rectangular hyperbola passing through important triangle centers such as the Orthocenter, Gergonne point, Nagel point and Shiffler point. The center of the hyperbola is the Feuerbach point, the point of tangency of the incircle and the nine-point circle. Equation It has the trilinear equation (here are the angles at the respective vertices and is the barycentric coordinate). Properties

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