دورية أكاديمية

Pedal curves obtained from Frenet vector of a space curve and Smarandache curves belonging to these curves

التفاصيل البيبلوغرافية
العنوان: Pedal curves obtained from Frenet vector of a space curve and Smarandache curves belonging to these curves
المؤلفون: Süleyman Şenyurt, Filiz Ertem Kaya, Davut Canlı
المصدر: AIMS Mathematics, Vol 9, Iss 8, Pp 20136-20162 (2024)
بيانات النشر: AIMS Press, 2024.
سنة النشر: 2024
المجموعة: LCC:Mathematics
مصطلحات موضوعية: pedal curves, frenet apparatus, t-pedal curve, n-pedal curve, b-pedal curve, smarandache curves, Mathematics, QA1-939
الوصف: In this study, first the pedal curves as the geometric locus of perpendicular projections to the Frenet vectors of a space curve were defined and the Frenet vectors, curvature, and torsion of these pedal curves were calculated. Second, for each pedal curve, Smarandache curves were defined by taking the Frenet vectors as position vectors. Finally, the expressions of Frenet vectors, curvature, and torsion related to the main curves were obtained for each Smarandache curve. Thus, new curves were added to the curve family.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2473-6988
Relation: https://doaj.org/toc/2473-6988
DOI: 10.3934/math.2024981?viewType=HTML
DOI: 10.3934/math.2024981
URL الوصول: https://doaj.org/article/5e074e8d601e4175aa3266ccbf6b6b26
رقم الأكسشن: edsdoj.5e074e8d601e4175aa3266ccbf6b6b26
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:24736988
DOI:10.3934/math.2024981?viewType=HTML