On the volume of the trajectory surfaces under the homothetic motions
Acta Mathematica Universitatis Comenianae, cilt.76, sa.2, ss.241-246, 2007 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 76 Sayı: 2
- Basım Tarihi: 2007
- Dergi Adı: Acta Mathematica Universitatis Comenianae
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.241-246
- Anahtar Kelimeler: Holditch theorem, Homothetic motion, Volume of trajectory surface
- İstanbul Gelişim Üniversitesi Adresli: Evet
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. Müller [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.