Abstract
In this paper we explore various locus problems whose solutions involve the Neuberg cubic of the scalene triangle in the plane. We use analytical geometry to show that the Neuberg equation describes the essential part of the locus in each of these problems. In this way we discover new characteristics of the Neuberg cubic that has been at the focus of attention in the recent renaissance of triangle geometry.
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Čerin, Z. Locus properties of the Neuberg cubic. J Geom 63, 39–56 (1998). https://doi.org/10.1007/BF01221237
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DOI: https://doi.org/10.1007/BF01221237