A New Method to Obtain PH-Helical Curves in E^(n+1)
Helical curves are constructed by the property that their unit tangents make a constant angle with a chosen constant direction. There are relations between polynomial planar curves, helices and Pythagorean-hodograph or shortly PH-curves. The aim of this paper is to obtain a method which generate PH-...
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| Format: | Article |
| Language: | English |
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Naim Çağman
2021-12-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/2096378 |
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| author | Çetin Camcı Kazım İlarslan Mehmet Gümüş Ahmet Mollaoğulları |
| author_facet | Çetin Camcı Kazım İlarslan Mehmet Gümüş Ahmet Mollaoğulları |
| author_sort | Çetin Camcı |
| collection | DOAJ |
| description | Helical curves are constructed by the property that their unit tangents make a constant angle with a chosen constant direction. There are relations between polynomial planar curves, helices and Pythagorean-hodograph or shortly PH-curves. The aim of this paper is to obtain a method which generate PH-curves and PH-helical curves from a planar curve in Euclidean Space E^(n+1). Furthermore, some examples are given in E^4 and E^5 to explain the method neatly. |
| format | Article |
| id | doaj-art-b2109f5319524997bdea036bdd2a69ee |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-b2109f5319524997bdea036bdd2a69ee2025-08-20T02:45:06ZengNaim ÇağmanJournal of New Theory2149-14022021-12-0137455710.53570/jnt.10275642425A New Method to Obtain PH-Helical Curves in E^(n+1)Çetin Camcı0https://orcid.org/0000-0002-0122-559XKazım İlarslan1https://orcid.org/0000-0003-1708-280XMehmet Gümüş2https://orcid.org/0000-0003-4608-2446Ahmet Mollaoğulları3https://orcid.org/0000-0002-5769-9831ÇANAKKALE ONSEKİZ MART ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜKIRIKKALE ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ, MATEMATİK PR.CANAKKALE ONSEKIZ MART UNIVERSITY, LAPSEKİ VOCATIONAL SCHOOL, DEPARTMENT OF ACCOUNTING AND TAX DEPARTMENTCANAKKALE ONSEKIZ MART UNIVERSITY, FACULTY OF SCIENCE AND LETTERS, DEPARTMENT OF MATHEMATICSHelical curves are constructed by the property that their unit tangents make a constant angle with a chosen constant direction. There are relations between polynomial planar curves, helices and Pythagorean-hodograph or shortly PH-curves. The aim of this paper is to obtain a method which generate PH-curves and PH-helical curves from a planar curve in Euclidean Space E^(n+1). Furthermore, some examples are given in E^4 and E^5 to explain the method neatly.https://dergipark.org.tr/en/download/article-file/2096378ph-curvehelical curveph-helical curveplanar curvepolynomial curve |
| spellingShingle | Çetin Camcı Kazım İlarslan Mehmet Gümüş Ahmet Mollaoğulları A New Method to Obtain PH-Helical Curves in E^(n+1) Journal of New Theory ph-curve helical curve ph-helical curve planar curve polynomial curve |
| title | A New Method to Obtain PH-Helical Curves in E^(n+1) |
| title_full | A New Method to Obtain PH-Helical Curves in E^(n+1) |
| title_fullStr | A New Method to Obtain PH-Helical Curves in E^(n+1) |
| title_full_unstemmed | A New Method to Obtain PH-Helical Curves in E^(n+1) |
| title_short | A New Method to Obtain PH-Helical Curves in E^(n+1) |
| title_sort | new method to obtain ph helical curves in e n 1 |
| topic | ph-curve helical curve ph-helical curve planar curve polynomial curve |
| url | https://dergipark.org.tr/en/download/article-file/2096378 |
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