Zvonko Cerin, On the Fermat geometric problem,
Forum Geometricorum, 13 (2013) 135--147.
Abstract. We consider the Fermat configuration generated by a point on a circle over the side of a rectangle. When the ratio of the rectangle's sides is sqrt 2, then many properties do not depend on a position of the point. Some properties hold for all ratios and other ratios can also have interesting geometric consequences. Our proofs use analytic geometry but some parts include also synthetic arguments.
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