dc.contributor.author Kureš, Miroslav cs dc.date.accessioned 2020-08-04T11:03:08Z dc.date.available 2020-08-04T11:03:08Z dc.date.issued 2019-06-01 cs dc.identifier.citation Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica. 2019, vol. 27, issue 2, p. 67-82. en dc.identifier.issn 1224-1784 cs dc.identifier.other 157202 cs dc.identifier.uri http://hdl.handle.net/11012/178355 dc.description.abstract In general, there exists an ellipse passing through the vertices of a convex pentagon, but there is no ellipse passing through the vertices of a convex hexagon. Thus, attention is turned to algebraic curves of the third degree, namely to the closed component of certain elliptic curves. This closed curve will be called the spekboom curve. Results of numerical experiments and some hypotheses regarding hexagons of special shape connected with the existence of this curve passing through the vertices are presented and suggested. Some properties of the spekboom curve are described, too. en dc.format text cs dc.format.extent 67-82 cs dc.format.mimetype application/pdf cs dc.language.iso en cs dc.publisher Ovidius University cs dc.relation.ispartof Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica cs dc.relation.uri http://www.anstuocmath.ro/mathematics/anale2019vol2/03_Kures.pdf cs dc.rights (C) Ovidius University cs dc.subject algebraic closed curves en dc.subject elliptic curve en dc.subject hexagon en dc.title On elliptic curves with a closed component passing through a hexagon en thesis.grantor Vysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematiky cs sync.item.dbid VAV-157202 en sync.item.dbtype VAV en sync.item.insts 2020.08.04 13:03:08 en sync.item.modts 2020.08.04 12:20:29 en dc.coverage.issue 2 cs dc.coverage.volume 27 cs dc.identifier.doi 10.2478/auom-2019-0019 cs dc.rights.access openAccess cs dc.rights.sherpa http://www.sherpa.ac.uk/romeo/issn/1224-1784/ cs dc.type.driver article en dc.type.status Peer-reviewed en dc.type.version publishedVersion en
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