Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame
In this paper, we first introduce the evolute offset of non-cylindricalruled surfaces with B-Darboux frame in Euclidean 3-space. Then some geometricproperties of this evolute offset of non-cylindrical ruled surface are studied. Thatis, we examine the striction curve, distribution parameter, orthogon...
| المؤلف الرئيسي: | |
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| التنسيق: | مقال |
| اللغة: | English |
| منشور في: |
Naim Çağman
2020-12-01
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| سلاسل: | Journal of New Theory |
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://dergipark.org.tr/en/download/article-file/1383471 |
| _version_ | 1826585289645096960 |
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| author | Gül Ugur Kaymanli |
| author_facet | Gül Ugur Kaymanli |
| author_sort | Gül Ugur Kaymanli |
| collection | DOAJ |
| description | In this paper, we first introduce the evolute offset of non-cylindricalruled surfaces with B-Darboux frame in Euclidean 3-space. Then some geometricproperties of this evolute offset of non-cylindrical ruled surface are studied. Thatis, we examine the striction curve, distribution parameter, orthogonal trajectory ofevolute offset of ruled surfaces in terms of B-Darboux frame of given ruled surfaces,and we study the developability of ruled surface generated by B-Darboux vectors inthree-dimensional Euclidean space. |
| first_indexed | 2025-03-14T15:51:17Z |
| format | Article |
| id | doaj.art-7d8e3b136cf34a8888aeec7e39e37dea |
| institution | Directory Open Access Journal |
| issn | 2149-1402 |
| language | English |
| last_indexed | 2025-03-14T15:51:17Z |
| publishDate | 2020-12-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj.art-7d8e3b136cf34a8888aeec7e39e37dea2025-02-24T06:53:46ZengNaim ÇağmanJournal of New Theory2149-14022020-12-013350552425Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux FrameGül Ugur Kaymanli0https://orcid.org/0000-0003-4932-894XCANKIRI KARATEKIN UNIVERSITY, FACULTY OF SCIENCEIn this paper, we first introduce the evolute offset of non-cylindricalruled surfaces with B-Darboux frame in Euclidean 3-space. Then some geometricproperties of this evolute offset of non-cylindrical ruled surface are studied. Thatis, we examine the striction curve, distribution parameter, orthogonal trajectory ofevolute offset of ruled surfaces in terms of B-Darboux frame of given ruled surfaces,and we study the developability of ruled surface generated by B-Darboux vectors inthree-dimensional Euclidean space.https://dergipark.org.tr/en/download/article-file/1383471b-darboux framecurvaturesevolute offsetruled surface |
| spellingShingle | Gül Ugur Kaymanli Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame Journal of New Theory b-darboux frame curvatures evolute offset ruled surface |
| title | Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame |
| title_full | Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame |
| title_fullStr | Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame |
| title_full_unstemmed | Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame |
| title_short | Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame |
| title_sort | characterization of the evolute offset of ruled surfaces with b darboux frame |
| topic | b-darboux frame curvatures evolute offset ruled surface |
| url | https://dergipark.org.tr/en/download/article-file/1383471 |
| work_keys_str_mv | AT gulugurkaymanli characterizationoftheevoluteoffsetofruledsurfaceswithbdarbouxframe |