TY  - JOUR
TI  - The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p
AB  - In this paper, firstly, we calculate Cauchy-length formula for the one-parameter planar motion ingeneralized complex plane C p which is generalization of the complex, dual and hyperbolic planes.Then, we give the length of the enveloping trajectories of lines C p . In addition, we prove theHolditch theorem for the non-linear three points with the aid of the length of the envelopingtrajectories in C p . So, the Holditch theorem for the linear three points which is given by Erişir et al.in C p is generalized for trajectories drawn by the non-linear three points in generalized complexplane C p .
AU  - Erişir, Tülay
AU  - Gungor, Mehmet Ali
PY  - 2018
JO  - International Electronic Journal of Geometry
VL  - 11
IS  - 2
SN  - 1307-5624
SP  - 111
EP  - 119
DB  - TRDizin
UR  - http://search/yayin/detay/304173
ER  -