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Generalization of the pedal concept in bidimensional spaces. Application to the limaçon of Pascal

التفاصيل البيبلوغرافية
العنوان: Generalization of the pedal concept in bidimensional spaces. Application to the limaçon of Pascal
المؤلفون: Irene Sánchez-Ramos, Fernando Meseguer-Garrido, José Juan Aliaga Maraver, Javier Francisco Raposo Grau
المصدر: Dyna, Vol 88, Iss 216 (2021)
بيانات النشر: Universidad Nacional de Colombia, 2021.
سنة النشر: 2021
المجموعة: LCC:Technology
LCC:Mining engineering. Metallurgy
مصطلحات موضوعية: geometry, pedal curve, distance, angularity, Limaçon of Pascal., Technology, Mining engineering. Metallurgy, TN1-997
الوصف: The concept of a pedal curve is used in geometry as a generation method for a multitude of curves. The definition of a pedal curve is linked to the concept of minimal distance. However, an interesting distinction can be made for ℝ2. In this space, the pedal curve of another curve C is defined as the locus of the foot of the perpendicular from the pedal point P to the tangent to the curve. This allows the generalization of the definition of the pedal curve for any given angle that is not 90º. In this paper, we use the generalization of the pedal curve to describe a different method to generate a limaçon of Pascal, which can be seen as a singular case of the locus generation method and is not well described in the literature. Some additional properties that can be deduced from these definitions are also described.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
Spanish; Castilian
تدمد: 0012-7353
2346-2183
Relation: https://revistas.unal.edu.co/index.php/dyna/article/view/88507; https://doaj.org/toc/0012-7353; https://doaj.org/toc/2346-2183
DOI: 10.15446/dyna.v88n216.88507
URL الوصول: https://doaj.org/article/7b06d22886b4402faf20191c6e121287
رقم الأكسشن: edsdoj.7b06d22886b4402faf20191c6e121287
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:00127353
23462183
DOI:10.15446/dyna.v88n216.88507