ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONS
In mathematics, a conic is the curve that is obtained by intersecting a plane with a cone. Is well known that the shape of this curve may differ quite a bit depending on the position of the intersection plane relative to the cone axis, as it is actually a family of curves, commonly called "coni...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SORGING
2019-05-01
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| Series: | Journal of Industrial Design and Engineering Graphics |
| Subjects: | |
| Online Access: | http://sorging.ro/jideg/index.php/jid/article/view/419 |
| _version_ | 1797710892899500032 |
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| author | Alina DUTA Ionut - Daniel GEONEA Gordana DJUKANOVIC Marcela POPESCU Ludmila SASS |
| author_facet | Alina DUTA Ionut - Daniel GEONEA Gordana DJUKANOVIC Marcela POPESCU Ludmila SASS |
| author_sort | Alina DUTA |
| collection | DOAJ |
| description | In mathematics, a conic is the curve that is obtained by intersecting a plane with a cone. Is well known that the shape of this curve may differ quite a bit depending on the position of the intersection plane relative to the cone axis, as it is actually a family of curves, commonly called "conical". In the first part, we determine the relation between the shape of the section curve and the angle of the plane of the section plane. The paper also proposes a reassembly of the cone from the fragments resulting from the sectioning with different planes. These recommences can be found as technical solutions for joining two pipes with different diameters and whose axes are not coaxial. |
| first_indexed | 2024-03-12T06:58:53Z |
| format | Article |
| id | doaj.art-3fd08b0ff0004376814cbabdfd33d8c7 |
| institution | Directory Open Access Journal |
| issn | 1843-3766 2344-4681 |
| language | English |
| last_indexed | 2024-03-12T06:58:53Z |
| publishDate | 2019-05-01 |
| publisher | SORGING |
| record_format | Article |
| series | Journal of Industrial Design and Engineering Graphics |
| spelling | doaj.art-3fd08b0ff0004376814cbabdfd33d8c72023-09-02T23:51:09ZengSORGINGJournal of Industrial Design and Engineering Graphics1843-37662344-46812019-05-01141ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONSAlina DUTA0Ionut - Daniel GEONEA1Gordana DJUKANOVIC2Marcela POPESCU3Ludmila SASS4University of CraiovaUniversity of CraiovaUniversity of BelgradeUniversity of CraiovaUniversity of CraiovaIn mathematics, a conic is the curve that is obtained by intersecting a plane with a cone. Is well known that the shape of this curve may differ quite a bit depending on the position of the intersection plane relative to the cone axis, as it is actually a family of curves, commonly called "conical". In the first part, we determine the relation between the shape of the section curve and the angle of the plane of the section plane. The paper also proposes a reassembly of the cone from the fragments resulting from the sectioning with different planes. These recommences can be found as technical solutions for joining two pipes with different diameters and whose axes are not coaxial.http://sorging.ro/jideg/index.php/jid/article/view/419conicsectionsdecompositioninclined surfaceellipseparabola |
| spellingShingle | Alina DUTA Ionut - Daniel GEONEA Gordana DJUKANOVIC Marcela POPESCU Ludmila SASS ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONS Journal of Industrial Design and Engineering Graphics conic sections decomposition inclined surface ellipse parabola |
| title | ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONS |
| title_full | ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONS |
| title_fullStr | ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONS |
| title_full_unstemmed | ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONS |
| title_short | ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONS |
| title_sort | aspects and geometric interpretation in solving conical sections |
| topic | conic sections decomposition inclined surface ellipse parabola |
| url | http://sorging.ro/jideg/index.php/jid/article/view/419 |
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