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This is uncited, and I don't understand it. How can a parabola, which is unbounded, be an inconic, which is bounded by the triangle? And this equation seems to say that three positives sum to zero, implying that the equation doesn't describe anything. Someone have a clarification?
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Got it now. The "inconic" need not be inside the triangle. It can be tangent to two extended sides and externally tangent to the third side. I'll clarify in the article.
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Inconsistent names: in the first section a, b, c, A, B and C are defined, but u, v and w are used instead.
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In the section "Other features", the first item under 'Inconics" says:
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