Abstract

We consider a first-order infinitesimal bending of a curve in $\mathbb{R}^3$ to obtain a ruled surface. This paper investigates this kind of ruled surfaces and their properties. Also, we obtain conditions for ruled surfaces obtained by bending to be developable.

DOI

10.3906/mat-1908-21

Keywords

Ruled surfaces, bending of curves, developable surfaces

First Page

300

Last Page

306

Recommended Citation

GÖZÜTOK, U, ÇOBAN, H. A, & SAĞIROĞLU, Y (2020). Ruled surfaces obtained by bending of curves. Turkish Journal of Mathematics 44 (1): 300-306. https://doi.org/10.3906/mat-1908-21

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