GRAPHO-ANALYTICAL STUDIES OF A ROTATION CONICAL SURFACE
This paper presents a Dandelin’s mathematical demonstration theorem, which is more intuitive than a graphical one. The three equations of the plane curves - ellipse, parabola and hyperbola - are obtained particularizing the general conical curves equation. Also, rotation cylinder equation can be obt...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SORGING
2014-07-01
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| Series: | Journal of Industrial Design and Engineering Graphics |
| Subjects: | |
| Online Access: | http://sorging.ro/jideg/index.php/jid/article/view/143 |
| _version_ | 1797719181721862144 |
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| author | MARIN Dumitru PETRESCU Ligia |
| author_facet | MARIN Dumitru PETRESCU Ligia |
| author_sort | MARIN Dumitru |
| collection | DOAJ |
| description | This paper presents a Dandelin’s mathematical demonstration theorem, which is more intuitive than a graphical one. The three equations of the plane curves - ellipse, parabola and hyperbola - are obtained particularizing the general conical curves equation. Also, rotation cylinder equation can be obtained from rotation cone equation. Therefore, plane section in cylindrical surface, becomes an ellipse. Some technical applications are presented in the paper using grapho-analytical studies of a rotation conical surface. |
| first_indexed | 2024-03-12T09:01:12Z |
| format | Article |
| id | doaj.art-c6e9156200fb4e64939cd9c32f0c94d3 |
| institution | Directory Open Access Journal |
| issn | 1843-3766 2344-4681 |
| language | English |
| last_indexed | 2024-03-12T09:01:12Z |
| publishDate | 2014-07-01 |
| publisher | SORGING |
| record_format | Article |
| series | Journal of Industrial Design and Engineering Graphics |
| spelling | doaj.art-c6e9156200fb4e64939cd9c32f0c94d32023-09-02T15:39:02ZengSORGINGJournal of Industrial Design and Engineering Graphics1843-37662344-46812014-07-019GRAPHO-ANALYTICAL STUDIES OF A ROTATION CONICAL SURFACEMARIN Dumitru0PETRESCU Ligia1prof. dr. eng., Dept. of Engineering Graphics and Industrial Design, University POLITEHNICA of Bucharest , Romaniaassoc. prof. dr. eng., Dept. of Engineering Graphics and Industrial Design , University POLITEHNICA of Bucharest , RomaniaThis paper presents a Dandelin’s mathematical demonstration theorem, which is more intuitive than a graphical one. The three equations of the plane curves - ellipse, parabola and hyperbola - are obtained particularizing the general conical curves equation. Also, rotation cylinder equation can be obtained from rotation cone equation. Therefore, plane section in cylindrical surface, becomes an ellipse. Some technical applications are presented in the paper using grapho-analytical studies of a rotation conical surface.http://sorging.ro/jideg/index.php/jid/article/view/143conical curves, rotation cone, rotation cylinder, ellipse, parabola, hyperbola |
| spellingShingle | MARIN Dumitru PETRESCU Ligia GRAPHO-ANALYTICAL STUDIES OF A ROTATION CONICAL SURFACE Journal of Industrial Design and Engineering Graphics conical curves, rotation cone, rotation cylinder, ellipse, parabola, hyperbola |
| title | GRAPHO-ANALYTICAL STUDIES OF A ROTATION CONICAL SURFACE |
| title_full | GRAPHO-ANALYTICAL STUDIES OF A ROTATION CONICAL SURFACE |
| title_fullStr | GRAPHO-ANALYTICAL STUDIES OF A ROTATION CONICAL SURFACE |
| title_full_unstemmed | GRAPHO-ANALYTICAL STUDIES OF A ROTATION CONICAL SURFACE |
| title_short | GRAPHO-ANALYTICAL STUDIES OF A ROTATION CONICAL SURFACE |
| title_sort | grapho analytical studies of a rotation conical surface |
| topic | conical curves, rotation cone, rotation cylinder, ellipse, parabola, hyperbola |
| url | http://sorging.ro/jideg/index.php/jid/article/view/143 |
| work_keys_str_mv | AT marindumitru graphoanalyticalstudiesofarotationconicalsurface AT petresculigia graphoanalyticalstudiesofarotationconicalsurface |