Q-Offset and Q-Mannheim Offset of Ruled Surface

Abstract

In this paper, we define a new adapted trihedron called q- geodesic trihedron. Using this frame, we construct q-offsets and q-Mannheim offsets of ruled surfaces. We present theorems for q-offsets and q-Mannheim offsets to be developable. Finally, we illustrate the theory with some examples. © The Author(s) 2023.