2005 / June Volume 32 No.2
Rectifying curves as centrodes and extremal curves
| Published Date |
2005 / June
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| Title | Rectifying curves as centrodes and extremal curves |
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| Pagination | 77-90 |
| Abstract | Rectifying curves are introduced in [2] as space curves whose position vector always lies in its rectifying plane. In this article, we establish a surprising simple relationship between rectifying curves and the notion of centrodes in mechanics. Furthermore, we show that rectifying curves are indeed the extremal curves which satisfy the equality case of a general inequality. Further geometric properties of rectifying curves are also presented.
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| AMS Subject Classification |
53A15, 53C40, 53C42
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| Received |
2004-04-22
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