Strophoidal Surfaces

Erhan GÜLER; Ömer KİŞİ

doi:https://doi.org/10.31590/ejosat.1085758

Article Details

Strophoidal Surfaces

Authors:

Erhan GÜLER | Ömer KİŞİ

Publisher:

Osman SAĞDIÇ

Main Topics:

Applied physics

Journal:

European Journal of Science and Technology 2022 Vol. Issue 34, pp.745-749

Document Type:

Article

Publication Date:

3/2022

Document Language:

English

Document ID (Org No.):

2000915731

Frequency:

Quarterly

eISSN:

2148-2683

DOI:

https://doi.org/10.31590/ejosat.1085758

Keywords:

Abstract:

 

The mathematicians for centuries have researched the surfaces theory. In this paper, we consider strophoidal surface in three dimensional Euclidean space E^3. We present notations of a Euclidean geometry. In addition, stating a helicoidal surface, we define strophoidal surface, and calculate its Gauss map, Gaussian curvature, mean curvature. Finally, we give some relations of the Gaussian curvature and the mean curvature of that kind surfaces.

 

Matematikçiler yüzyıllardır yüzeyler teorisini araştırmışlardır. Bu çalışmada, üç boyutlu Öklid uzayı E^3'de strophoidal yüzeyi ele aldık. Öklid geometrisinin notasyonlarını sunduk. İlave olarak, bir helisoidal yüzeyi vererek, strophoidal yüzeyi tanımladık ve Gauss tasvirini, Gauss eğriliğini, ortalama eğriliğini hesapladık. Son olarak, bu tür yüzeylerin ortalama eğriliği ve Gauss eğriliği ile ilgili bazı bağıntıları verdik.

Article Details

Strophoidal Surfaces

Authors:

Erhan GÜLER | Ömer KİŞİ

Publisher:

Osman SAĞDIÇ

Main Topics:

Applied physics

Journal:

European Journal of Science and Technology 2022 Vol. Issue 34, pp.745-749

Document Type:

Article

Publication Date:

3/2022

Document Language:

English

Document ID (Org No.):

2000915731

Frequency:

Quarterly

eISSN:

2148-2683

DOI:

https://doi.org/10.31590/ejosat.1085758

3-boyut

strophoidal yüzey

Gauss tasviri

Gauss eğriliği

ortalama eğrilik

Issues

Article Details

Strophoidal Surfaces

Authors: Erhan GÜLER | Ömer KİŞİ

Publisher: Osman SAĞDIÇ

Main Topics: Applied physics

Journal: European Journal of Science and Technology 2022 Vol. Issue 34, pp.745-749

Document Type: Article

Publication Date: 3/2022

Document Language: English

Document ID (Org No.): 2000915731

Frequency: Quarterly

eISSN: 2148-2683

DOI: https://doi.org/10.31590/ejosat.1085758

3-boyut

strophoidal yüzey

Gauss tasviri

Gauss eğriliği

ortalama eğrilik

Issues

Authors:

Erhan GÜLER | Ömer KİŞİ

Publisher:

Osman SAĞDIÇ

Main Topics:

Applied physics

Journal:

European Journal of Science and Technology 2022 Vol. Issue 34, pp.745-749

Document Type:

Article

Publication Date:

3/2022

Document Language:

English

Document ID (Org No.):

2000915731

Frequency:

Quarterly

eISSN:

2148-2683

DOI:

https://doi.org/10.31590/ejosat.1085758