Glenn T. Vickers,
The 19 congruent Jacobi triangles,
Forum Geometricorum, 16 (2016) 339--344.
Abstract. With a given triangle and three angles, Jacobi's theorem involves the construction of a new triangle. An investigation into the case when these two triangles are congruent is presented. It is claimed that there are always nineteen possibilities and that they fall into four distinct classes.
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