Bertrand Offsets of Ruled Surfaces with Blaschke Frame in Euclidean 3-Space

Dual representations of the Bertrand offset-surfaces are specified and several new results are gained in terms of their integral invariants. A new description of Bertrand offsets of developable surfaces is given. Furthermore, several relationships through the striction curves of Bertrand offsets of...

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Bibliographic Details
Published inAxioms Vol. 12; no. 7; p. 649
Main Authors Nazra, Sahar H., Abdel-Baky, Rashad A.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2023
Subjects
Bertrand offsets
Curves
Euclidean geometry
Geometry
Geometry, Plane
Geometry, Solid
height dual functions
Invariants
Mathematical research
Offsets
striction curve
Saudi Arabia
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Summary:Dual representations of the Bertrand offset-surfaces are specified and several new results are gained in terms of their integral invariants. A new description of Bertrand offsets of developable surfaces is given. Furthermore, several relationships through the striction curves of Bertrand offsets of ruled surfaces and their integral invariants are obtained.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12070649