A New Method to Obtain PH-Helical Curves in E^(n+1)

Temel Bulgular & Veri: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).

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Sonuç & Katkı:Furthermore, some examples are given in E^4 and E^5 to explain the method neatly.

🔬Tür:Araştırma Makalesi

📍Kapsam:Genişletilmiş Akademik Örneklem

⚙️Değişkenler:PH-curve · helical curve · PH-helical curve

Abstract

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.

Anahtar kelimeler

PH-curve helical curve PH-helical curve planar curve polynomial curve

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Bu Makaleye Atıf Yap

MOLLAOĞULLARI, A., GÜMÜŞ, M., İLARSLAN, K., CAMCI, Ç. (2021). A New Method to Obtain PH-Helical Curves in E^(n+1). Journal of New Theory, Sayı: 37, 45–57. https://ajindex.com/articles/681463

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