On a necessary and sufficient cyclicity condition for a quadrilateral

Details On a necessary and sufficient cyclicity condition for a quadrilateral On a necessary and sufficient cyclicity condition for a quadrilateral

2004-10-08

arxiv.org/abs/math/0410234v1

Mathematics

General Mathematics

28 pp, 2 figures, A4 paper, in Russian

Scientific paper

A convex quadrilateral with sides a,b,c,d, and diagonals p,q is cyclic iff
abp-bcq+cdp-daq=0. This condition, in spite of its simplicity, appears to be
unnoted and unexpectedly proof-resilient. We employ advanced methods of
computer algebra and nonlinear analysis.

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