The well known Bresse circle and inflection circle of planar kinematics are calculated on the unit dual sphere. Spatial eguivalents of these circles are derived using the Study mapping. Hence two line congruences are obtained. At any time t there are three common lines of these congruences. These lines are the instantaneous acceleration axes of on e parameter spatial motion which corresponds to the congruences. In general case and in some special cases, the properties of these congruences are discussed.
Primary Language | English |
---|---|
Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 1973 |
Submission Date | January 1, 1973 |
Published in Issue | Year 1973 Volume: 22 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.