Ali ÇAKMAK

Striction Lines of Non-developable Ruled Surfaces in Euclidean 3-Space

ISSN: 2146-0574
Yayın Aralığı: 4
Başlangıç: 2011
Yayıncı: -

Diferansiyel geometrinin ilgi alanlarından olan regle yüzeyler, geçmişten günümüze bir çok matematikçi tarafından çalışılan yüzey tiplerinden birisidir. Benzer şekilde helis, slant helis, Bertrand eğrisi gibi bazı özel eğriler de matematikçiler tarafından sıklıkla tartışılan eğri tipleridir. Bu makalede, bazı özel durumlarda açılabilir olmayan regle yüzeylerin striksiyon çizgilerinin helis, slant helis, Bertrand eğrisi ya da Mannheim eğrisi olduğu gösterilecektir

Öklid-3 Uzayında Açılabilir Olmayan Regle Yüzeylerin Striksiyon Çizgileri

The ruled surfaces, one of the areas of interest of differential geometry, have been one of the surface types studied by many mathematicians from the past to the present day. Similarly, some special curves which helix, slant helix, Bertrand curve, etc. are also the curve types discussed often by mathematicians. In this paper, it will be shown that striction lines of non-developable ruled surfaces are helix, slant helix, Bertrand or Mannheim curve in some special cases

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