THE INTERSECTION OF CYLINDRICAL SURFACES GRAPHO-ANALYTICAL STUDIES
This paper presents the determination of the section curve of two rotation cylinders with intersecting axes and parallel with a projection plane, using the analytical method, as well as the graphical method (of auxiliary spheres). Regardless of the method employed, one reaches the conclusion that th...
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Format: | Article |
Language: | English |
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SORGING
2008-07-01
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Series: | Journal of Industrial Design and Engineering Graphics |
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Online Access: | http://sorging.ro/jideg/index.php/jid/article/view/42 |
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author | MARIN Dumitru |
author_facet | MARIN Dumitru |
author_sort | MARIN Dumitru |
collection | DOAJ |
description | This paper presents the determination of the section curve of two rotation cylinders with intersecting axes and parallel with a projection plane, using the analytical method, as well as the graphical method (of auxiliary spheres). Regardless of the method employed, one reaches the conclusion that the projection of the section curve is an equilateral hyperbola, for any angle between the axes of the two intersecting cylinders and for any diameters. |
first_indexed | 2024-03-12T19:03:53Z |
format | Article |
id | doaj.art-0eaf62870c994d57b5143a1b0fead3f1 |
institution | Directory Open Access Journal |
issn | 1843-3766 2344-4681 |
language | English |
last_indexed | 2024-03-12T19:03:53Z |
publishDate | 2008-07-01 |
publisher | SORGING |
record_format | Article |
series | Journal of Industrial Design and Engineering Graphics |
spelling | doaj.art-0eaf62870c994d57b5143a1b0fead3f12023-08-02T06:22:26ZengSORGINGJournal of Industrial Design and Engineering Graphics1843-37662344-46812008-07-01442THE INTERSECTION OF CYLINDRICAL SURFACES GRAPHO-ANALYTICAL STUDIESMARIN Dumitru0Ph.D., Professor, POLITEHNICA University of Bucharest, Departament of Descriptive Geometry and Engineering GraphicsThis paper presents the determination of the section curve of two rotation cylinders with intersecting axes and parallel with a projection plane, using the analytical method, as well as the graphical method (of auxiliary spheres). Regardless of the method employed, one reaches the conclusion that the projection of the section curve is an equilateral hyperbola, for any angle between the axes of the two intersecting cylinders and for any diameters.http://sorging.ro/jideg/index.php/jid/article/view/42intersection curve, auxiliary sphere, symmetry axis, hyperbola, asymptote. |
spellingShingle | MARIN Dumitru THE INTERSECTION OF CYLINDRICAL SURFACES GRAPHO-ANALYTICAL STUDIES Journal of Industrial Design and Engineering Graphics intersection curve, auxiliary sphere, symmetry axis, hyperbola, asymptote. |
title | THE INTERSECTION OF CYLINDRICAL SURFACES GRAPHO-ANALYTICAL STUDIES |
title_full | THE INTERSECTION OF CYLINDRICAL SURFACES GRAPHO-ANALYTICAL STUDIES |
title_fullStr | THE INTERSECTION OF CYLINDRICAL SURFACES GRAPHO-ANALYTICAL STUDIES |
title_full_unstemmed | THE INTERSECTION OF CYLINDRICAL SURFACES GRAPHO-ANALYTICAL STUDIES |
title_short | THE INTERSECTION OF CYLINDRICAL SURFACES GRAPHO-ANALYTICAL STUDIES |
title_sort | intersection of cylindrical surfaces grapho analytical studies |
topic | intersection curve, auxiliary sphere, symmetry axis, hyperbola, asymptote. |
url | http://sorging.ro/jideg/index.php/jid/article/view/42 |
work_keys_str_mv | AT marindumitru theintersectionofcylindricalsurfacesgraphoanalyticalstudies AT marindumitru intersectionofcylindricalsurfacesgraphoanalyticalstudies |