Bryan Brzycki, On a geometric locus in taxicab geometry,
Forum Geometricorum, 14 (2014) 117--121.

Abstract. In axiomatic geometry, the taxicab model of geometry is important as an example of a geometry where the SAS Postulate does not hold. Some properties that hold true in Euclidean geometry are not true in taxicab geometry. For this reason, it is important to understand what happens with various classes of geometric loci in taxicab geometry. In the present study, we focus on a geometric locus question inspired by a problem originally posed by Titeica in the Euclidean context; our study presents the solution to this question in the taxicab plane.

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