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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).
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Article

Some Properties of Ruled Surfaces under Homothety in E3

by
Emin Kasap
*,
Salim Yüce
* and
Nuri Kuruoğlu
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
Published: 1 December 2002
Versions Notes

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 Ruled Surface; Homothety; Connection Preserving Map

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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. https://doi.org/10.3390/mca7030235

AMA Style

Kasap E, Yüce S, Kuruoğlu N. Some Properties of Ruled Surfaces under Homothety in E3. Mathematical and Computational Applications. 2002; 7(3):235-239. https://doi.org/10.3390/mca7030235

Chicago/Turabian Style

Kasap, Emin, Salim Yüce, and Nuri Kuruoğlu. 2002. "Some Properties of Ruled Surfaces under Homothety in E3" Mathematical and Computational Applications 7, no. 3: 235-239. https://doi.org/10.3390/mca7030235

APA Style

Kasap, E., Yüce, S., & Kuruoğlu, N. (2002). Some Properties of Ruled Surfaces under Homothety in E3. Mathematical and Computational Applications, 7(3), 235-239. https://doi.org/10.3390/mca7030235

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