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On the closed planar homothetic motions and the polar inertia momentums of orbits

Year 1992, Volume: 41 , 0 - 0, 01.01.1992

A. Sıvrıdag

https://doi.org/10.1501/Commua1_0000000503
https://izlik.org/JA49AW32ZE

Abstract

In this study, the polar inertia momentim of the trajectory curve (X) generated by a fixed point X of the moving plane under the 1-parameter closed planar homothetic motion is calculated. And it is seen that ali the fixed points of the moving plane the trajectory curves of which have equal polar inertia momentum lie on the same circle of the moving plane such that the çenter of the circle is generally different from the Steiner point (Theorem 1). Obtaining a a formula which is analogoue of Holditch formula from that we get some corollaries (Corol- laries 3, 4 and 5). Moreover we have given a relation between the areas of orbits and the polar inertia momentums of them (Theorem 2

Keywords

Holditch homothetic momentums

References

  • Communications, Series A1:Mathematics and Statistics

Year 1992, Volume: 41 , 0 - 0, 01.01.1992

A. Sıvrıdag

https://doi.org/10.1501/Commua1_0000000503
https://izlik.org/JA49AW32ZE

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

A. Sıvrıdag This is me

Submission Date January 1, 1992
Publication Date January 1, 1992
DOI https://doi.org/10.1501/Commua1_0000000503
IZ https://izlik.org/JA49AW32ZE
Published in Issue Year 1992 Volume: 41

Cite

APA Sıvrıdag, A. (1992). On the closed planar homothetic motions and the polar inertia momentums of orbits. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 41. https://doi.org/10.1501/Commua1_0000000503
AMA 1.Sıvrıdag A. On the closed planar homothetic motions and the polar inertia momentums of orbits. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000503
Chicago Sıvrıdag, A. 1992. “On the Closed Planar Homothetic Motions and the Polar Inertia Momentums of Orbits”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January). https://doi.org/10.1501/Commua1_0000000503.
EndNote Sıvrıdag A (January 1, 1992) On the closed planar homothetic motions and the polar inertia momentums of orbits. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41
IEEE [1]A. Sıvrıdag, “On the closed planar homothetic motions and the polar inertia momentums of orbits”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 41, Jan. 1992, doi: 10.1501/Commua1_0000000503.
ISNAD Sıvrıdag, A. “On the Closed Planar Homothetic Motions and the Polar Inertia Momentums of Orbits”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January 1, 1992). https://doi.org/10.1501/Commua1_0000000503.
JAMA 1.Sıvrıdag A. On the closed planar homothetic motions and the polar inertia momentums of orbits. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000503.
MLA Sıvrıdag, A. “On the Closed Planar Homothetic Motions and the Polar Inertia Momentums of Orbits”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 41, Jan. 1992, doi:10.1501/Commua1_0000000503.
Vancouver 1.Sıvrıdag A. On the closed planar homothetic motions and the polar inertia momentums of orbits. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. [Internet]. 1992 Jan. 1;41. Available from: https://izlik.org/JA49AW32ZE

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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