The perimeter sixpartite center of a triangle

The perimeter sixpartite center of a triangle

We show that the perimeter of a triangle can be divided into six equal parts by three concurrent lines in only one way. The perimeter sixpartite point is presented exactly, by its coordinates, and proved to be a non-constructible point and a new center of the triangle.

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Veröffentlicht in:Journal of geometry 2017-12, Vol.108 (3), p.861-868
Hauptverfasser: Berele, Allan, Catoiu, Stefan
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Mathematics
Mathematics and Statistics
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Zusammenfassung:We show that the perimeter of a triangle can be divided into six equal parts by three concurrent lines in only one way. The perimeter sixpartite point is presented exactly, by its coordinates, and proved to be a non-constructible point and a new center of the triangle.
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-017-0380-4