A generalization of the Holditch theorem for the planar homothetic motions
Applications of Mathematics (2005)
- Volume: 50, Issue: 2, page 87-91
- ISSN: 0862-7940
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topYüce, Salim, and Kuruoğlu, Nuri. "A generalization of the Holditch theorem for the planar homothetic motions." Applications of Mathematics 50.2 (2005): 87-91. <http://eudml.org/doc/33208>.
@article{Yüce2005,
abstract = {In this paper, under the one-parameter closed planar homothetic motion, a generalization of Holditch Theorem is obtained by using two different line segments (with fixed lengths) whose endpoints move along two different closed curves.},
author = {Yüce, Salim, Kuruoğlu, Nuri},
journal = {Applications of Mathematics},
keywords = {Steiner formula; Holditch Theorem; homothetic motion; Steiner formula; Holditch Theorem; homothetic motion},
language = {eng},
number = {2},
pages = {87-91},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A generalization of the Holditch theorem for the planar homothetic motions},
url = {http://eudml.org/doc/33208},
volume = {50},
year = {2005},
}
TY - JOUR
AU - Yüce, Salim
AU - Kuruoğlu, Nuri
TI - A generalization of the Holditch theorem for the planar homothetic motions
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 2
SP - 87
EP - 91
AB - In this paper, under the one-parameter closed planar homothetic motion, a generalization of Holditch Theorem is obtained by using two different line segments (with fixed lengths) whose endpoints move along two different closed curves.
LA - eng
KW - Steiner formula; Holditch Theorem; homothetic motion; Steiner formula; Holditch Theorem; homothetic motion
UR - http://eudml.org/doc/33208
ER -
References
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- Calculus on Manifolds. A modern approach to classical theorems of advanced calculus, W. A. Benjamin, New York, 1965. (1965) Zbl0141.05403MR0209411
- 10.1023/B:CMAJ.0000042372.51882.a6, Czechoslovak Math. J. 54(129) (2004), 337–340. (2004) MR2059254DOI10.1023/B:CMAJ.0000042372.51882.a6
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