On some new geometrical interpretations of the torsion of a skew curve
Stanisław Gołąb, J. Kordylewski, M. Kuczma (1960)
Annales Polonici Mathematici
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On some new geometrical interpretations of the torsion of a skew curve
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We relate the total curvature and the isoperimetric deficit of a curve in a two-dimensional space of constant curvature with the area enclosed by the evolute of . We provide also a Gauss-Bonnet theorem for a special class of evolutes.
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