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NOTES

When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?

Pages 147-152 | Published online: 01 Feb 2018

REFERENCES

  • P. Appell, Traité de Mécanique Rationnelle, vol. 1, 6th ed., Gauthier-Villars, Paris, 1941.
  • B.Y. Chen, Geometry of Submanifolds, Marcel Dekker, New York, 1973.
  • D. Laugwitz, Differential and Riemannian Geometry, Academic Press, New York, 1965.
  • R. S. Millman and G. D. Parker, Elements of Differential Geometry, Prentice-Hall, Englewood Cliffs, NJ, 1977.
  • D. A. Singer, Curves whose curvature depends on distance from the origin, this Monthly 106 (1999) 835–841.
  • D. J. Struik, Differential Geometry, 2nd ed., Addison-Wesley, Reading, MA, 1961.
  • J. L. Weiner, How helical can a closed, twisted space curve be?, this Monthly 107 (2000) 327–333.

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