On the invariants of ruled surfaces generated by the dual involute frenet trihedron

Mustafa BİLİCİ

doi:https://doi.org/10.1501/Commua1_0000000801

Article Details

On the invariants of ruled surfaces generated by the dual involute frenet trihedron

Authors:

Mustafa BİLİCİ

Publisher:

Ankara University

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2017 Vol.66 Issue 2, pp.62-70

Document Type:

Article

Publication Date:

7/2017

Document Language:

English

Document ID (Org No.):

2000909691

Frequency:

Quarterly

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000801

Abstract:

 

The purpose of this paper is to describe ruled surfaces generatedby a Frenet trihedron of closed dual involute for a given dual curve. We identifyrelations between the pitch, the angle of the pitch, and the drall of thesesurfaces. Some new results related to the developability of these surfaces arealso obtained. Finally, we illustrate these surfaces by presenting one example.

Article Details

On the invariants of ruled surfaces generated by the dual involute frenet trihedron

Authors: Mustafa BİLİCİ

Publisher: Ankara University

Journal: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2017 Vol.66 Issue 2, pp.62-70

Document Type: Article

Publication Date: 7/2017

Document Language: English

Document ID (Org No.): 2000909691

Frequency: Quarterly

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.1501/Commua1_0000000801

Issues

Authors:

Mustafa BİLİCİ

Publisher:

Ankara University

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2017 Vol.66 Issue 2, pp.62-70

Document Type:

Article

Publication Date:

7/2017

Document Language:

English

Document ID (Org No.):

2000909691

Frequency:

Quarterly

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000801