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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Main Author: MARIN Dumitru
Format: Article
Language:English
Published: SORGING 2008-07-01
Series:Journal of Industrial Design and Engineering Graphics
Subjects:
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.
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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