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

Some Properties of Ruled Surfaces under Homothety in E3

Ondokuz MayıS Univ., Faculty of Arts & Sciences, Department of Mathematics, Samsun, Turkey
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Published: 1 December 2002
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Abstract

It is clearly that, If f : E3E3 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 Ruled Surface; Homothety; Connection Preserving Map
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Kasap, E.; Yüce, S.; Kuruoğlu, N. Some Properties of Ruled Surfaces under Homothety in E3. Math. Comput. Appl. 2002, 7, 235-239.

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