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

A. Sıvrıdag

doi:10.1501/Commua1_0000000503

EN

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

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

References

Communications, Series A1:Mathematics and Statistics

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

A. Sıvrıdag This is me
Türkiye

Publication Date

January 1, 1992

Submission Date

January 1, 1992

Acceptance Date

-

Published in Issue

Year 1992 Volume: 41

DOI

https://doi.org/10.1501/Commua1_0000000503

IZ

https://izlik.org/JA49AW32ZE

Cite

RIS / Bibtex

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.A. Sıvrıdag. On the closed planar homothetic motions and the polar inertia momentums of orbits. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992 Jan. 1;41. doi:10.1501/Commua1_0000000503