A Direct Proof of the 2nd Atiyah-Sutcliffe Conjecture for Convex Quadrilaterals
Abstract
We present a direct proof of the second conjecture made by M. Atiyah and P. Sutcliffe for the case of convex quadrilaterals. Unlike previous work on this conjecture, our proof does not require any computer aided computations. The new proof relies on a new geometric inequality proved recently by the author.
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