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Preprints of the Keldysh Institute of Applied Mathematics, 2003, 094, 18 pp.
(Mi ipmp967)
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On a necessary and sufficient cyclicity condition for a quadrilateral
S. Yu. Sadov
Abstract:
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.
Citation:
S. Yu. Sadov, “On a necessary and sufficient cyclicity condition for a quadrilateral”, Keldysh Institute preprints, 2003, 094, 18 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp967 https://www.mathnet.ru/eng/ipmp/y2003/p94
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Statistics & downloads: |
Abstract page: | 112 | Full-text PDF : | 15 |
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