In this paper, we investigate the inflection circle, circling-point curve, and center-point curve for the original and inverse motion of Minkowski planes, and we also deal with their degenerate cases individually. For this purpose, we consider the trajectory of origin with respect to the instantaneous invariants of Bottema in Minkowski plane by using hyperbolic numbers. Finally, we give the geometric interpretation of the circling-point and center-point curves by comparing the original and inverse motion in Minkowski planes.
Eren, Kemal and ERsoy, Soley
A Comparison of Original and Inverse Motion in Minkowski Plane,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 14,
5, Article 5.
Available at: https://digitalcommons.pvamu.edu/aam/vol14/iss5/5