Geometriae Dedicata

, Volume 46, Issue 2, pp 149–159 | Cite as

A new formula for winding number

  • Margaret Mcintyre
  • Grant Cairns


We give a new formula for the winding number of smooth planar curves and show how this can be generalized to curves on closed orientable surfaces. This gives a geometric interpretation of the notion of winding number due to B. Reinhart and D.R.J. Chillingworth.


Geometric Interpretation Orientable Surface Planar Curf Closed Orientable Surface Smooth Planar Curf 
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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Margaret Mcintyre
    • 1
  • Grant Cairns
    • 1
  1. 1.Department of MathematicsLa Trobe UniversityMelbourneAustralia

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