Application of complex-valued functions in plane differential geometry and kinematics
arXiv:2310.10265
Abstract
In this paper, we discuss some problems of elementary plane differential geometry and kinematics. Although the results are not new, the consistent use of complex-valued functions (plane curves) of a real variable (parameter) allows to derive them ab ovo in a particularly simple, uniform and transparent way. A number of examples with figures complete the explanations.
99 pages, 114 figures; new topic in this version: cam mechanisms with swinging flat-face follower (subsection 3.6)