Öklid-3 Uzayında Açılabilir Olmayan Regle Yüzeylerin Striksiyon Çizgileri

Diferansiyel geometrinin ilgi alanlarından olan regle yüzeyler, geçmişten günümüze bir çok matematikçi

Anahtar Kelimeler:

Açılabilir olmayan regle yüzey, striksiyon çizgisi, helis, Bertrand eğrisi, Mannheim eğrisi

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

The ruled surfaces, one of the areas of interest of differential geometry, have been one of the surfacetypes 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 beshown that striction lines of non-developable ruled surfaces are helix, slant helix, Bertrand or Mannheim curve insome special cases.

Keywords:

Non-developable ruled surface, line of striction, helix, Bertrand curve, Mannheim curve,

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