TY  - JOUR
TI  - MOTIONS ON CURVES AND SURFACES USING GEOMETRIC
ALGEBRA
AB  - Geometric algebra is a useful tool to overcome some problems in
kinematics. Thus, the geometric algebra has attracted the attention of many
researchers. In this paper, quaternion operators on curves and surfaces in
Euclidean 3-space are defined by using geometric algebra. These operators
generate the curves or the surfaces from the points, curves or surfaces. Using
quaternion operators, we obtain motions that have orbits along the generated curve or surface. Also, these motions are expressed as 1-parameter or
2-parameter homothetic motions.
AU  - Aslan, Selahattin
AU  - yaylı, yusuf
DO  - 10.31801/cfsuasmas.878766
PY  - 2022
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 71
IS  - 1
SN  - 1303-5991
SP  - 39
EP  - 50
DB  - TRDizin
UR  - http://search/yayin/detay/511711
ER  -