On Jacobi's theorems

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Küçük Resim

Tarih

1998

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