Some Properties of Ruled Surfaces under Homothety in E3

Emin Kasap; Salim Yüce; Nuri Kuruoğlu

doi:10.3390/mca7030235

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1 December 2002

Some Properties of Ruled Surfaces under Homothety in E3

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

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

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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

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