Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 11, Tome 372 (2009), pp. 82-92
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A. I. Kurnosenko. On a certain feature of logarithmic spirals. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 11, Tome 372 (2009), pp. 82-92. http://geodesic.mathdoc.fr/item/ZNSL_2009_372_a6/
@article{ZNSL_2009_372_a6,
author = {A. I. Kurnosenko},
title = {On a~certain feature of logarithmic spirals},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {82--92},
year = {2009},
volume = {372},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_372_a6/}
}
TY - JOUR
AU - A. I. Kurnosenko
TI - On a certain feature of logarithmic spirals
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2009
SP - 82
EP - 92
VL - 372
UR - http://geodesic.mathdoc.fr/item/ZNSL_2009_372_a6/
LA - ru
ID - ZNSL_2009_372_a6
ER -
%0 Journal Article
%A A. I. Kurnosenko
%T On a certain feature of logarithmic spirals
%J Zapiski Nauchnykh Seminarov POMI
%D 2009
%P 82-92
%V 372
%U http://geodesic.mathdoc.fr/item/ZNSL_2009_372_a6/
%G ru
%F ZNSL_2009_372_a6
A curve formed by inversion of a logarithmic spiral is called a double logarithmic spiral. The curves in this family possess the following property: there always exists such a spiral with continuous and monotone curvature satisfying any possible boundary conditions (= end points, tangents, and curvatures). Thus, the problem of constructing a spiral with continuous curvature and prescribed curvature elements at the endpoints is solved. Bibl. – 6 titles.
