Galilean Bobillier Formula for One-Parameter Planar Motions
| Main Authors: | Nurten (BAYRAK) GURSES, Mucahit AKBIYIK, Salim YUCE |
|---|---|
| Format: | Article Journal |
| Terbitan: |
, 2015
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/826739 |
Daftar Isi:
- In this present paper, Galilean Euler-Savary formula for the radius of curvature of the trajectory of a point in the moving Galilean plane (or called Isotropic plane) during one-parameter planar motion is taken into consideration. Galilean Bobillier formula is obtained by using the geometrical interpretation of the Galilean Euler-Savary formula.Moreover, a direct way is chosen to obtain Bobillier formula without using the Euler-Savary formula in the Galilean plane. As a consequence, the Galilean Euler-Savary will appear as aspecific case of Bobillier formula given in the Galilean plane.