Thomas D. Maienschein and Michael Q. Rieck, Triangle constructions based on angular coordinates,
Forum Geometricorum, 17 (2017) 185--195.
Abstract. Two very different, yet related, triangle constructions are examined, based on a given reference triangle and on a triple of signed angles. These produce triangles that are in perspective with the reference triangle and with each other, using the same center of perspective. The first construction is rather well-known, and produces a Kiepert-Morley-Hofstadter-Kimberling triangle. A new circumconic is associated with this construction. The second construction generalizes work of D. M. Bailey and J. Van Yzeren. A number of known central triangles are obtainable using one or both of these constructions.
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