On Jacobi's theorems
Yükleniyor...
Dosyalar
Tarih
1998
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Communications Series A1: Mathematics and Statistics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Öz (İngilizce): In this paper, J. Jacobi's Theorems [9] have been considered for the spherical curves drawn on the unit dual sphere during the closed space motions. The integral invariants of the ruled surface corresponding, in the line space, to the spherical curve drawn by a fixed point on the moving unit dual sphere during the one-parameter closed motion were calculated with a different approach from the area vector used by H. R. Müller [11]. In addition, the ruled surfaces corresponding to the curves drawn by the unit tangent vector, principal normal vector or a unit vector on the osculating plane of the mentioned curve, were seen to be cones with this approach.
Açıklama
Anahtar Kelimeler
İstatistik ve Olasılık, Matematik
Kaynak
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
WoS Q Değeri
Scopus Q Değeri
Cilt
47
Sayı
1-2
Künye
H. Bayram K., Sadık K. (1998). On Jacobi's theorems,Communications Series A1: Mathematics and Statistics