ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME


ŞENTÜRK G. Y. , YÜCE S.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, ss.1256-1264, 2019 (ESCI İndekslerine Giren Dergi)

  • Cilt numarası: 68 Konu: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.31801/cfsuasmas.516604
  • Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
  • Sayfa Sayısı: ss.1256-1264

Özet

In this study, using Darboux frame {T, g, n} of ruled surface phi(s, v), the evolute offsets phi*(s, v) with Darboux frame {T*, g*, n*} of phi(s, v ) are defined. Characteristic properties of phi*(s,v) as a striction curve, distribution parameter and orthogonal trajectory are investigated using the Darboux frame. The distribution parameters of ruled surfaces phi*(T*), and phi*(g*) phi*(n*) are given. By using Darboux frame of the surfaces we have given the relations between the instantaneous Pfaffian vectors of motions H/H' and H*/H*' where H = {T, g, n} be the moving space along the base curve of phi(s,v), H* = {T*, g*, n*} be the moving space along the base curve of phi* (s, v), H' and H*' be fixed Euclidean spaces.