Bertrand Offsets of Slant Ruled Surfaces in Euclidean 3-Space

In this paper, we investigate and specify the Bertrand offsets of slant ruled and developable surfaces in Euclidean 3-space E3. This is accomplished by utilizing the symmetry of slant curves. As a consequence of this, we present the parameterization of the Bertrand offsets for any slant ruled and de...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 16; no. 2; p. 235
Main Authors Almoneef, Areej A., Abdel-Baky, Rashad A.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.02.2024
Subjects
Darboux vector
developable surface
Euclidean geometry
Geometry
height functions
Kinematics
Offsets
Parameterization
slant ruled surface
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Summary:In this paper, we investigate and specify the Bertrand offsets of slant ruled and developable surfaces in Euclidean 3-space E3. This is accomplished by utilizing the symmetry of slant curves. As a consequence of this, we present the parameterization of the Bertrand offsets for any slant ruled and developable surfaces. In addition to this, we investigate the monarchies of these ruled surfaces and assign them their own unique classification. Also, we illustrate some examples of slant ruled surfaces.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16020235