MAEJO INTERNATIONAL JOURNAL OF SCIENCE & TECHNOLOGYVolume 16, No. 03, Month SEPTEMBER, Year 2022, Pages 199 - 207
New-type tangent indicatrix of involute and ruled surface according to blaschke frame in dual space
Mustafa Bilici and Selma Palavar
Abstract Download PDFIn this study we first take the tangent vector of an involute curve in dual space
as a generating vector and define the dual Blaschke frame and Blaschke invariants of a
new type of tangent indicatrix of the involute curve. We then introduce the ruled surfaces
generated by the dual Blashke frame using Study’s transfer principle and compute the
geometric invariants of these surfaces, thus obtaining some important results about them.
We illustrate our method by presenting an example.
tangent indicatrix, involute curve, ruled surface, Blaschke frame, dual space