On a necessary and sufficient cyclicity condition for a quadrilateral

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dc.creatorSadov, Sergey
dc.date2004-10-08
dc.date.accessioned2026-07-07T05:13:06Z
dc.date.available2026-07-07T05:13:06Z
dc.descriptionA 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.
dc.description28 pp, 2 figures, A4 paper, in Russian
dc.identifierhttps://arxiv.org/abs/math/0410234
dc.identifierhttp://arxiv.org/abs/math/0410234
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72821
dc.subjectGeneral Mathematics
dc.subjectCommutative Algebra
dc.subjectMetric Geometry
dc.subject51K99, 13P99
dc.titleOn a necessary and sufficient cyclicity condition for a quadrilateral
dc.typetext

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