journal6 ›› 2015, Vol. 36 ›› Issue (5): 7-12.DOI: 10.3969/j.cnki.jdxb.2015.05.002

• Mathematics • Previous Articles     Next Articles

Derivation of Calculation Formula of Geodesic Curvature

 XING  Jia-Sheng, BAI  Lu, LUO  Xiu-Hua   

  1. (1.Department of Mathematics,LMIB of the Ministry of Education,Beihang University,Beijing 100191,China;2.Pingdingshan Institute of Education,Pingdingshan 467000,Henan China)
  • Online:2015-09-25 Published:2015-11-02

Abstract: The derivation of the calculation formula of geodesic curvature on curved surface is discussed in this paper.The directly derived calculation formula is obtained by means of vector outer product.Two derivation processes of the calculation formula of geodesic curvature and the derivation of the Liouville formula are demonstrated in the coordinate grid of the orthogonal curve.

Key words: geodesic curvature, orthogonal curve, coordinate grid;Liouville formula

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