Glenn
T. Vickers, Equilateral Jacobi
triangles,
Forum Geometricorum, 17
(2017) 101--113.
Abstract. Given any triangle and any three angles (α, β, γ), the
Jacobi construction produces a triangle (here chosen to be equilateral) in
perspective with the first. For scalene triangles there are a finite number of
values of β, γ for which two values of α give equilateral
triangles. The construction of Morley has this property but so do certain other
configurations.
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