Michel Bataille, On the extrema of some distance ratios,
Forum Geometricorum, 18 (2018) 57--62.

Abstract. In the plane, given a line ℒ and two distinct points A, B with B not on ℒ, we use inversion to study the extremal values of the ratio MA/MB when M varies on ℒ . The method also holds when an arbitrary curve
C is substituted for ℒ , and we dwell upon the case when C is a circle.

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