@article{Tsakiris_Xu_2022, title={The Fermat-Torricelli problem in the projective plane}, volume={128}, url={https://www.mscand.dk/article/view/133419}, DOI={10.7146/math.scand.a-133419}, abstractNote={<p>We pose and study the Fermat-Torricelli problem for a triangle in the projective plane under the sine distance. Our main finding is that if every side of the triangle has length greater than $\sin 60^\circ $, then the Fermat-Torricelli point is the vertex opposite the longest side. Our proof relies on a complete characterization of the equilateral case together with a deformation argument.</p>}, number={3}, journal={MATHEMATICA SCANDINAVICA}, author={Tsakiris, Manolis C. and Xu, Sihang}, year={2022}, month={Dec.} }