Abstract:
We study a system consisting of a finite number of Heron equations with a common variable and prove the equivalence of general formulas for all solutions of such a system.
Citation:
S. Sh. Kozhegel'dinov, “On the Solution of a System of Heron Equations”, Mat. Zametki, 69:5 (2001), 688–698; Math. Notes, 69:5 (2001), 634–643
\Bibitem{Koz01}
\by S.~Sh.~Kozhegel'dinov
\paper On the Solution of a System of Heron Equations
\jour Mat. Zametki
\yr 2001
\vol 69
\issue 5
\pages 688--698
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\crossref{https://doi.org/10.4213/mzm532}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1846807}
\zmath{https://zbmath.org/?q=an:1006.11010}
\transl
\jour Math. Notes
\yr 2001
\vol 69
\issue 5
\pages 634--643
\crossref{https://doi.org/10.1023/A:1010249525233}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000169913100005}
Linking options:
https://www.mathnet.ru/eng/mzm532
https://doi.org/10.4213/mzm532
https://www.mathnet.ru/eng/mzm/v69/i5/p688
This publication is cited in the following 2 articles:
S. Sh. Kozhegel'dinov, “Pairs of Theonian Triangles with Common Area”, Math. Notes, 88:5 (2010), 696–700
Makarasen, A, “Higher Structure of Cereulide, an Emetic Toxin from Bacillus cereus, and Special Comparison with Valinomycin, an Antibiotic from Streptomyces fulvissimus”, Chemistry-An Asian Journal, 4:5 (2009), 688