Abstract
In this paper, we establish a Fermat point analogue of the Steiner-Lehmus theorem by proving a more general monotonicity property. We also consider four pairs of segment lengths determined by intersecting Fermat point cevians to unequal sides of a triangle and determine comparable properties for these segments. Our proofs make use of trigonometric inequalities.
Original language | English |
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Pages (from-to) | 355–366 |
Journal | Forum Geometricorum |
Volume | 16 |
State | Published - 2016 |