A characteristic property of a developable surface

The pitch of a closed developable surface is equaî to the arclengzh of its edge of regression. The aim of this paper is to show that this is characteristic property of a closed developable. viz. that if the pitch of a closed ruled surface is equal to the are- length of its line of striction then the surface is developable. 1. The Pitch [1] of a closed [2] ruled surface R (i. e. a ruled surface whose directrİK curve D and spherical indicatrix of the generators J are both simply connected closed curveş) is defined as the line integral

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  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover
  • ISSN: 1303-5991
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1948
  • Yayıncı: Ankara Üniversitesi