Some properties of ruled surfaces under homothety in E3

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Kasap E., YÜCE S., Kuruoǧlu N.

Mathematical and Computational Applications, vol.7, no.3, pp.235-239, 2002 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 3
  • Publication Date: 2002
  • Doi Number: 10.3390/mca7030235
  • Journal Name: Mathematical and Computational Applications
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.235-239
  • Keywords: Connection Preserving Map, Homothety, Ruled Surface
  • Ondokuz Mayıs University Affiliated: Yes


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