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

Abstract

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.

Keywords

• Bertrand offsets
• height dual functions
• striction curve