ON THE VOLUME OF THE TRAJECTORY SURFACES UNDER THE HOMOTHETIC MOTIONS
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Tarih
2007
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Comenius Univ
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The volumes of the surfaces of 3-dimensional Euclidean Space which are traced by a fixed point as a trajectory surface during 3-parametric motions are given by H. R. Muller [3], [4], [5] and W. Blaschke [1]. In this paper, the volumes of the trajectory surfaces of fixed points under 3-parametric homothetic motions are computed. Also, using a certain pseudo-Euclidean metric we generalized the well-known classical Holditch Theorem, [2], to the trajectory surfaces.
Açıklama
Anahtar Kelimeler
homothetic motion, Holditch theorem, volume of trajectory surface
Kaynak
Acta Mathematica Universitatis Comenianae
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
76
Sayı
2
