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Journal for Geometry and Graphics 20 (2016), No. 2, 185--207
Copyright Heldermann Verlag 2016



On the Equality of Cevians: Beyond the Steiner-Lehmus Theorem

Konstantinos Myrianthis
58 Zan Moreas Street, 15231 Athens, Greece
myrian@ath.forthnet.gr



The aim of the present work is to investigate the relations in a triangle in order to have two cevians equal, given the fact that they intersect in a point of a third cevian. Obviously the Steiner Lehmus theorem deals with the specific case of cevians being angle-bisectors. All possible combinations of external or internal cevians, plus the possibilities of equicevian points are examined.

Keywords: Cevians, A-equicevian points, equicevian points, Steiner-Lehmus Theorem.

MSC: 51M04

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