On the determination of a developable spherical orthotomic ruled surface

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YILDIZ Ö. G., Karakuş S., Hacısalihoğlu H. H.

Bulletin of Mathematical Sciences, cilt.5, sa.1, ss.137-146, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s13373-014-0063-5
  • Dergi Adı: Bulletin of Mathematical Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.137-146
  • Anahtar Kelimeler: Developable surface, Dual unit sphere, Dual vector, Orthotomic, Ruled surface, Spherical orthotomic
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In this paper, a method for determination of developable spherical orthotomic ruled surfaces is given by using dual vector calculus. We show that dual vectorial expression of a developable spherical orthotomic ruled surface can be obtained from coordinates and the first derivatives of the base curve. The paper concludes with an example related to this method.