Family of Surfaces with a Common Special Involute and Evolute Curves

Süleyman ŞENYURT; Kebire Hilal AYVACI; Davut CANLI

doi:https://doi.org/10.36890/iejg.932757

Makale detayları

Family of Surfaces with a Common Special Involute and Evolute Curves

Yazarlar:

Süleyman ŞENYURT | Kebire Hilal AYVACI | Davut CANLI

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.160-174

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000471510

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.932757

Özet:

 

In this paper, we define the necessary and sufficient conditions for a parametric surface on which both the involute and evolute of any given curve lie to be geodesic, asymptotic and curvature line. Then, the first and second fundamental forms of these surfaces are calculated. By using the Gaussian and mean curvatures, the developability and minimality assumptions are drawn, as well.
Moreover we extended the idea to the ruled surfaces. Finally, we provide a set of examples to illustrate the corresponding surfaces.

Makale detayları

Family of Surfaces with a Common Special Involute and Evolute Curves

Yazarlar: Süleyman ŞENYURT | Kebire Hilal AYVACI | Davut CANLI

Yayıncı: Kazım İLARSLAN

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.160-174

Belge Tipi: Makale

Yayın Tarihi: 4/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000471510

Sıklık: İki Yıllık

eISSN: 1307-5624

DOI: https://doi.org/10.36890/iejg.932757

Sayı

Yazarlar:

Süleyman ŞENYURT | Kebire Hilal AYVACI | Davut CANLI

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.160-174

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000471510

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.932757