Abstract
Given a triangle with vertices P1, P2, P3 its Fermat point is defined as that point F which minimises the sum P1F + P2F + P3F. It is known that if each of the angles P1, P2, P3 is less than 120°, then F will be the point inside the triangle at which each pair of P1, P2, P3 subtend an angle of 120°, while if any of the angles at P1, P2, P3 exceed 120° then F will coincide with that vertex – see Figure (1).
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. Torricellian points in normed linear spaces;Journal of Inequalities and Applications;2013-05-22