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This paper studies the rotation minimizing frames that are associated with spatial curves and the sweeping surfaces which are generated by these frames. Then the necessary and sufficient condition for… Click to show full abstract
This paper studies the rotation minimizing frames that are associated with spatial curves and the sweeping surfaces which are generated by these frames. Then the necessary and sufficient condition for sweeping surface to be developable ruled surface is derived. In particular, we focused for the resulting developable surface is a cylinder, cone or tangent surface.
Keywords:
surface;
surfaces sweeping;
developable surfaces;
sweeping surfaces
Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2018
Link to full text (if available)
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Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2018
Link to full text (if available)
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recommendations!