Bisector Surfaces Through A Common Line of Curvatures and Its Classifications
In this paper, we study the Bisector surface, which definesthe line of curvature on a surface play an importance role. Firstly, theBisector surface constructed by a point and a space curve given in Euclidean3-space. Then, it is investigated that the necessary and sufficient conditionfor directrix cu...
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| Format: | Article |
| Language: | English |
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Sakarya University
2018-12-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/486203 |
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| _version_ | 1850099691625119744 |
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| author | Muhammed Talat Sarıaydın |
| author_facet | Muhammed Talat Sarıaydın |
| author_sort | Muhammed Talat Sarıaydın |
| collection | DOAJ |
| description | In this paper, we study the Bisector surface, which definesthe line of curvature on a surface play an importance role. Firstly, theBisector surface constructed by a point and a space curve given in Euclidean3-space. Then, it is investigated that the necessary and sufficient conditionfor directrix curve of this surface to satisfy line of curvature. After this,we classify the Bisector surfaces. |
| format | Article |
| id | doaj-art-2922d1df0f1744dda8fedcdb6886d3e2 |
| institution | DOAJ |
| issn | 2147-835X |
| language | English |
| publishDate | 2018-12-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-2922d1df0f1744dda8fedcdb6886d3e22025-08-20T02:40:27ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2018-12-012261760176410.16984/saufenbilder.40915328Bisector Surfaces Through A Common Line of Curvatures and Its ClassificationsMuhammed Talat Sarıaydın0https://orcid.org/0000-0002-3613-4276Selçuk University, Mathematics Department, Konya, Turkey.In this paper, we study the Bisector surface, which definesthe line of curvature on a surface play an importance role. Firstly, theBisector surface constructed by a point and a space curve given in Euclidean3-space. Then, it is investigated that the necessary and sufficient conditionfor directrix curve of this surface to satisfy line of curvature. After this,we classify the Bisector surfaces.https://dergipark.org.tr/tr/download/article-file/486203bisector surfaceruled surfaceline of curvature |
| spellingShingle | Muhammed Talat Sarıaydın Bisector Surfaces Through A Common Line of Curvatures and Its Classifications Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi bisector surface ruled surface line of curvature |
| title | Bisector Surfaces Through A Common Line of Curvatures and Its Classifications |
| title_full | Bisector Surfaces Through A Common Line of Curvatures and Its Classifications |
| title_fullStr | Bisector Surfaces Through A Common Line of Curvatures and Its Classifications |
| title_full_unstemmed | Bisector Surfaces Through A Common Line of Curvatures and Its Classifications |
| title_short | Bisector Surfaces Through A Common Line of Curvatures and Its Classifications |
| title_sort | bisector surfaces through a common line of curvatures and its classifications |
| topic | bisector surface ruled surface line of curvature |
| url | https://dergipark.org.tr/tr/download/article-file/486203 |
| work_keys_str_mv | AT muhammedtalatsarıaydın bisectorsurfacesthroughacommonlineofcurvaturesanditsclassifications |