Posted: Wednesday, April 15, 2020

Professor of Mathematics Clark Kimberling and British engineer Peter Moses have a research article on "Self-inverse Gemini triangles" in the April issue of the International Journal of Geometry. The article investigates special properties of a large family of triangles known as Gemini triangles.

Using methods of linear algebra applied to barycentric coordinates, the conclusions involve several conic curves and cubic curves that are new to the literature. Several recently discovered special points in the plane of a triangle are introduced, having first appeared during 2019 in the UE-based Encyclopedia of Triangle Centers (https://faculty.evansville.edu/ck6/encyclopedia/ETC.html).

A pdf of the paper can be accessed from https://ijgeometry.com/product/clark-kimberling-and-peter-moses-self-inverse-gemini-triangles/.

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