The inconic having inconic parameters x:y:z = a/(b + c - a) :b/(a + c - b) :c/(a + b - c). Its center is the mittenpunkt M of the triangle and its Brianchon point is the Nagel point N a. The Mandart ellipse touches the sides of the triangle in the vertices of the extouch triangle, which is also its polar triangle. It has area A = π((a + b - c)(b + c - a)(c + a - b))/[2(a b + b c + c a) - (a^2 + b^2 + c^2)]^(3/2) Δ, where Δ is the area of the reference triangle.
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