A curve β is said to be a plane curve if there exists a vector v such that for a fixed t1,
<β(t) - β(t1), v > = 0
Let r be a curve parametrized by arc length satisfying κ(s) ≠ 0 for any s.
Prove that r is a plane curve if and only if τ = 0.
* <a,b> = a dot b
κ = curvature of a curve
τ = torsion of a curve *
Differential geometry
2013-08-24 3:51 am
回答 (1)
2013-08-24 6:20 am
✔ 最佳答案
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參考: My Maths World
收錄日期: 2021-04-20 14:15:21
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