ON THE INVARIANTS OF RULED SURFACES GENERATED BY THE DUAL INVOLUTE FRENET TRIHEDRON

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Atıf İçin Kopyala

Bilici M.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.66, sa.2, ss.62-70, 2017 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 66 Sayı: 2
• Basım Tarihi: 2017
• Doi Numarası: 10.1501/commua1_0000000801
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.62-70
• Anahtar Kelimeler: Ruled surface, dual involute-evolute, dual Frenet frame, dual numbers, PITCH
• Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to describe ruled surfaces generated by a Frenet trihedron of closed dual involute for a given dual curve. We identify relations between the pitch, the angle of the pitch, and the drall of these surfaces. Some new results related to the developability of these surfaces are also obtained. Finally, we illustrate these surfaces by presenting one example.