On a special class of generalized conics with infinitely many focal points

A tétel rövid nézete
dc.contributor.authorNagy, Ábris
dc.contributor.authorRábai, Zsolt
dc.contributor.authorVincze, Csaba
dc.date.accessioned2024-09-04T09:46:09Z
dc.date.available2024-09-04T09:46:09Z
dc.date.issued2009-06-01
dc.description.abstractLet a continuous, piecewise smooth curve in the Euclidean space be given. We are going to investigate the surfaces formed by the vertices of generalized cones with such a curve as the common directrix and the same area. The basic geometric idea in the background is when the curve runs through the sides of a non-void triangle ABC. Then the sum of the areas of some triangles is constant for any point of such a surface. By the help of a growth condition we prove that these are convex compact surfaces in the space provided that the points A, B and C are not collinear. The next step is to introduce the general concept of awnings spanned by a curve. As an important example awnings spanned by a circle will be considered. Estimations for the volume of the convex hull will be also given.en
dc.formatapplication/pdf
dc.identifier.citationTeaching Mathematics and Computer Science, Vol. 7 No. 1 (2009) , 87-99
dc.identifier.doihttps://doi.org/10.5485/TMCS.2009.0206
dc.identifier.eissn2676-8364
dc.identifier.issn1589-7389
dc.identifier.issue1
dc.identifier.jatitleTeach. Math. Comp. Sci.
dc.identifier.jtitleTeaching Mathematics and Computer Science
dc.identifier.urihttps://hdl.handle.net/2437/379659
dc.identifier.volume7
dc.languageen
dc.relationhttps://ojs.lib.unideb.hu/tmcs/article/view/14849
dc.rights.accessOpen Access
dc.rights.ownerÁbris Nagy, Zsolt Rábai and Csaba Vincze
dc.subjectconvexityen
dc.subjectconicsen
dc.titleOn a special class of generalized conics with infinitely many focal pointsen
dc.typefolyóiratcikkhu
dc.typearticleen
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