Recognition of Paths and Curves in the 2-Dimensional Euclidean Geometry

İdris ÖREN; Djavvat KHADJİEV

doi:https://doi.org/10.36890/iejg.725297

Makale detayları

Recognition of Paths and Curves in the 2-Dimensional Euclidean Geometry

Yazarlar:

İdris ÖREN | Djavvat KHADJİEV

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2020 Vol.13 Issue 2, pp.116-134

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000471660

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.725297

Özet:

 

This paper presents global differential invariants of  curves and paths in the 2-dimensional Euclidean geometry for the groups of Euclidean transformations M(2) and special Euclidean transformations M+(2)M+(2)M^{+}(2). For these groups,  analogues of the fundamental theorem for Euclidean curves are obtained in terms of global differential invariants of  a path and a curve. Moreover, for given two paths(or curves) with the common differential G-invariants, evident forms of all Euclidean transformations that maps one of the paths (or curves) to the other are found. .

Makale detayları

Recognition of Paths and Curves in the 2-Dimensional Euclidean Geometry

Yazarlar: İdris ÖREN | Djavvat KHADJİEV

Yayıncı: Kazım İLARSLAN

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Geometry 2020 Vol.13 Issue 2, pp.116-134

Belge Tipi: Makale

Yayın Tarihi: 10/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000471660

Sıklık: İki Yıllık

eISSN: 1307-5624

DOI: https://doi.org/10.36890/iejg.725297

Sayı

Yazarlar:

İdris ÖREN | Djavvat KHADJİEV

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2020 Vol.13 Issue 2, pp.116-134

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000471660

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.725297