Some Properties of Ruled Surfaces under Homothety in E3

Kasap, Emin; Yüce, Salim; Kuruoğlu, Nuri

doi:10.3390/mca7030235

Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).

Article

1 December 2002

5 Pages

Some Properties of Ruled Surfaces under Homothety in E3

and

Ondokuz MayıS Univ., Faculty of Arts & Sciences, Department of Mathematics, Samsun, Turkey

Authors to whom correspondence should be addressed.

Math. Comput. Appl.2002, 7(3), 235-239;https://doi.org/10.3390/mca7030235

Version Notes

Order Reprints

Abstract

It is clearly that, If f : E³→E³ is a homothety and (varphi) is a surface in three dimensional Euclidean space E³, (f(varphi) = overline{varphi}) is also a surface in E³. In this paper, the surface (varphi) has been taken a ruled surface, specially. It was shown that image surface (f(varphi) = overline{varphi}) has been a ruled surface, too. Furthermore, It was investigated whether some properties related with ruled surfaces on (varphi) have been invariant under the homothety f or not.

Keywords:

Ruled Surface; Homothety; Connection Preserving Map

Article Metrics

Citations

Article Access Statistics

Journal Statistics

Multiple requests from the same IP address are counted as one view.

Relation between Darboux Instantaneous Rotation Vectors of Curves on Time-Like Surface

Finite Element Modeling of Drillstrings