DOAJ Open Access 2023

Normal Surfaces along a Curve on a Surface in Euclidean 3-Space

M. Khalifa Saad R. A. Abdel-Baky

Abstrak

Curves on surfaces and their frames play an important role in differential geometry and in many branches of science such as mechanics and physics. So, we are interested in studying one of these surfaces along a curve lying on a surface. In this paper, we define a surface normal to a surface along a curve lying on a surface in Euclidean 3-space E3. Then, we analyze the necessary and sufficient conditions for that surface to be a ruled surface. Finally, we illustrate the convenience and efficiency of this approach with some representative examples.

Topik & Kata Kunci

Probabilities. Mathematical statistics Analysis

Penulis (2)

M. Khalifa Saad

R. A. Abdel-Baky

Format Sitasi

APA MLA BibTeX

Saad, M.K., Abdel-Baky, R.A. (2023). Normal Surfaces along a Curve on a Surface in Euclidean 3-Space. https://doi.org/10.28924/2291-8639-21-2023-119

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.28924/2291-8639-21-2023-119
Akses: Open Access ✓