ON THE CONSTRUCTION OF GENERALIZED BOBILLIER FORMULA

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Atıf İçin Kopyala

ERİŞİR T., Güngör M. A., Ersoy S.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, sa.1, ss.111-124, 2019 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 68 Sayı: 1
• Basım Tarihi: 2019
• Doi Numarası: 10.31801/cfsuasmas.443657
• 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.111-124
• Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this study, we consider the generalized complex number system C-p = {x + iy : x, y is an element of R; i(2) = p is an element of R} corresponding to elliptical complex number, parabolic complex number and hyperbolic complex number systems for the special cases of p < 0, p = 0, p > 0, respectively. This system is used to derive Bobillier Formula in the generalized complex plane. In accordance with this purpose we obtain this formula by two different methods for one-parameter planar motion in C-p; the first method depends on using the geometrical interpretation of the generalized Euler-Savary formula and the second one uses the usual relations of the velocities and accelerations.