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dc.contributorNestorović, Miodrag
dc.creatorObradović, Marija
dc.creatorMalešević, Branko
dc.creatorPetrović, Maja
dc.date.accessioned2020-08-06T07:39:21Z
dc.date.available2020-08-06T07:39:21Z
dc.date.issued2010
dc.identifier.isbn978-86-7924-040-8
dc.identifier.urihttps://grafar.grf.bg.ac.rs/handle/123456789/2052
dc.description.abstractA cubic egg curve obtained by Hügelschäffer’s construction, can be spatially interpreted as a plane section of a type of a conoid set through a specially chosen 4-th order intersecting curve of two quadrics: right cylinder and cone. That implies that the apex of a cone must lay on the axis of a cylinder in order to obtain one sheet surface. This type of conoid will be of 4-th order, and will exclude plane sections by conics. We consider a special case of forming an akin conoid that would include also conic sections. If the apex of the cone is set off the cylinder axis, there would appear a double conoid, as a surface set through the intersection curve of the quadrics. Its plane section will be a double egg curve obtained by generalized Hügelschäffer’s construction. In case that cylinder and cone would intersect by a degenerated 4-th degree space curve on two conics (circle and ellipse), there would emerge double egg curve, as a plane section of the double conoid. The curve degenerates onto ellipse and a quartic curve - Granville’s egg. We also gave a mathematical condition of degeneration of the base double egg curve.en
dc.language.isoensr
dc.publisherBelgrade: Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG)sr
dc.relationinfo:eu-repo/grantAgreement/MESTD/MPN2006-2010/16009/RS//sr
dc.rightsopenAccesssr
dc.sourcePROCEEDINGS | BILTEN of 25th National and 2nd International Scientific Conference moNGeometrija 2010sr
dc.subjectconoidsr
dc.subjectHügelschäffer’s constructionsr
dc.subjectellipsesr
dc.subjectegg curvesr
dc.titleConic Section of a Type of Egg Curve Based Conoiden
dc.typeconferenceObjectsr
dc.rights.licenseARRsr
dc.rights.holderFaculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG)sr
dc.citation.epage466
dc.citation.spage447
dc.description.otherhttp://mongeometrija.com/media/mongeometrija/2010/moNGeometrija%202010%20-%20PAGINACIJA.pdfsr
dc.identifier.fulltexthttps://grafar.grf.bg.ac.rs/bitstream/id/7769/bitstream_7769.pdf
dc.type.versionpublishedVersionsr


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