A generalization of the Holditch theorem for the planar homothetic motions
Applications of Mathematics, Tome 50 (2005) no. 2, pp. 87-91
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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.
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.
DOI :
10.1007/s10492-005-0005-3
Classification :
53A17
Keywords: Steiner formula; Holditch Theorem; homothetic motion
Keywords: Steiner formula; Holditch Theorem; homothetic motion
@article{10_1007_s10492_005_0005_3,
author = {Y\"uce, Salim and Kuruo\u{g}lu, Nuri},
title = {A generalization of the {Holditch} theorem for the planar homothetic motions},
journal = {Applications of Mathematics},
pages = {87--91},
year = {2005},
volume = {50},
number = {2},
doi = {10.1007/s10492-005-0005-3},
mrnumber = {2125151},
zbl = {1099.53009},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0005-3/}
}
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 SP - 87 EP - 91 VL - 50 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0005-3/ DO - 10.1007/s10492-005-0005-3 LA - en ID - 10_1007_s10492_005_0005_3 ER -
%0 Journal Article %A Yüce, Salim %A Kuruoğlu, Nuri %T A generalization of the Holditch theorem for the planar homothetic motions %J Applications of Mathematics %D 2005 %P 87-91 %V 50 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0005-3/ %R 10.1007/s10492-005-0005-3 %G en %F 10_1007_s10492_005_0005_3
Yüce, Salim; Kuruoğlu, Nuri. A generalization of the Holditch theorem for the planar homothetic motions. Applications of Mathematics, Tome 50 (2005) no. 2, pp. 87-91. doi: 10.1007/s10492-005-0005-3
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