Abstract
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.
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Mcintyre, M., Cairns, G. A new formula for winding number. Geom Dedicata 46, 149–159 (1993). https://doi.org/10.1007/BF01264913
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DOI: https://doi.org/10.1007/BF01264913