The Relationship between Focal Surfaces and Surfaces at a Constant Distance from the Edge of Regression on a Surface

Author:

Yurttancikmaz Semra1,Tarakci Omer1

Affiliation:

1. Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey

Abstract

We investigate the relationship between focal surfaces and surfaces at a constant distance from the edge of regression on a surface. We show that focal surfacesF1andF2of the surfaceMcan be obtained by means of some special surfaces at a constant distance from the edge of regression on the surfaceM.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Geometry of tubular surfaces and their focal surfaces in Euclidean 3-space;AIMS Mathematics;2024

2. On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2023-07-02

3. Image Curves on the Parallel-like Surfaces in E³;International Electronic Journal of Geometry;2023-04-30

4. The focal surfaces of offset surface;Optik;2022-12

5. Surfaces Generated by Translation Surfaces of Type 1 in I31;IRAN J MATH SCI INFO;2021

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