The involute-evolute offsets of ruled surfaces

Kasap E., YÜCE S., KURUOĞLU N.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.33, sa.2, ss.195-201, 2009 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 2
  • Basım Tarihi: 2009
  • Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.195-201
  • Anahtar Kelimeler: Differential geometry, Involute-evolute, Ruled surface
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this study, a generalization of the theory of involute-evolute curves is presented for ruled surfaces based on line geometry. Using lines instead of points, two ruled surfaces which are offset in the sense of involute-evolute are defined. Moreover, the found results are clarified using computer-aided examples. © Shiraz University.