Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E 3
Open Access
- 27 August 2021
- journal article
- research article
- Published by Hindawi Limited in Abstract and Applied Analysis
- Vol. 2021, 1-9
- https://doi.org/10.1155/2021/3151501
Abstract
In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in . It concerns Partner ruled surfaces, Partner ruled surfaces, and Partner ruled surfaces. We aim to study the simultaneous developability conditions of each couple of two Partner ruled surfaces. Finally, we give an illustrative example for our study.Keywords
This publication has 7 references indexed in Scilit:
- Geometric modeling and applications of generalized blended trigonometric Bézier curves with shape parametersAdvances in Difference Equations, 2020
- Reconstruction of rational ruled surfaces from their silhouettesJournal of Symbolic Computation, 2020
- Construction of developable surfaces using generalized C-Bézier bases with shape parametersComputational and Applied Mathematics, 2020
- A Novel Generalization of Trigonometric Bézier Curve and Surface with Shape Parameters and Its ApplicationsMathematical Problems in Engineering, 2020
- Developable mechanisms on developable surfacesScience Robotics, 2019
- Ruled Surfaces According to Bishop Frame in the Euclidean 3-SpaceProceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2018
- Ruled surfaces generated by some special curves in Euclidean 3-SpaceJournal of the Egyptian Mathematical Society, 2013