A New Method For Construction Of Ph-Helical Curves In E-3
Yükleniyor...
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Publ House Bulgarian Acad Sci
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Helices curves are characterized by the property that their unit tangents maintain a constant inclination with respect to a fixed line, the axis of the helix. If a polynomial space curve is helical, it must be a Pythagorean-hodograph PH-curve. In this paper, a method for constructing PH-helices in 3-dimensional Euclidean space E-3 is proposed, based on a method given by IZUMIYA and TAKEUCHI [(9)] for helices and Bertrand curves in 3-dimensional Euclidean space. We show that the method is true for the polynomial space curves to be PH-helix if the planar curve is a polynomial curve. We also obtain all planar polynomial curve in E-3. We give a new method to construct PH-helices from planar polynomial curves.
Açıklama
Anahtar Kelimeler
PH-helix, planar curve, polynomial curve
Kaynak
Comptes Rendus De L Academie Bulgare Des Sciences
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
72
Sayı
3
Künye
closedAccess
