## Proceedings of the International Conference on Geometry, Integrability and Quantization

### On the Involutive B-Scrolls in the Euclidean Three-Space $\mathbb{E}^3$

Seyda Kilicoglu

#### Abstract

Deriving curves based on the other curves like involute-evolute curves or Bertrant curves is an old subject in geometry. In this paper, we have defined a ruled surface based on the involute curve of a given curve which is called the involutive B-scroll. We introduced the positions of the involutive B-scroll and the B-scroll relative to each other.

#### Article information

Dates
First available in Project Euclid: 13 July 2015

https://projecteuclid.org/ euclid.pgiq/1436815526

Digital Object Identifier
doi:10.7546/giq-13-2012-205-214

Mathematical Reviews number (MathSciNet)
MR3087972

Zentralblatt MATH identifier
1382.53003

#### Citation

Kilicoglu, Seyda. On the Involutive B-Scrolls in the Euclidean Three-Space $\mathbb{E}^3$. Proceedings of the Thirteenth International Conference on Geometry, Integrability and Quantization, 205--214, Avangard Prima, Sofia, Bulgaria, 2012. doi:10.7546/giq-13-2012-205-214. https://projecteuclid.org/euclid.pgiq/1436815526