Similarity motions in E 3 with plane trajectories

Adolf Karger

Aplikace matematiky (1981)

  • Volume: 26, Issue: 3, page 194-201
  • ISSN: 0862-7940

Abstract

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In this paper the author finds and describes all similarity space motions, which have only plane trajectories of points. All such motions are explicitly expressed. They are of 5 types, all of them cylindrical. Trajectories are conic sections (3 types) or arbitrary plane curves (2 types).

How to cite

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Karger, Adolf. "Similarity motions in $E_3$ with plane trajectories." Aplikace matematiky 26.3 (1981): 194-201. <http://eudml.org/doc/15195>.

@article{Karger1981,
abstract = {In this paper the author finds and describes all similarity space motions, which have only plane trajectories of points. All such motions are explicitly expressed. They are of 5 types, all of them cylindrical. Trajectories are conic sections (3 types) or arbitrary plane curves (2 types).},
author = {Karger, Adolf},
journal = {Aplikace matematiky},
keywords = {Darboux motions; kinematics; similarity motions; Darboux motions; kinematics; similarity motions},
language = {eng},
number = {3},
pages = {194-201},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Similarity motions in $E_3$ with plane trajectories},
url = {http://eudml.org/doc/15195},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Karger, Adolf
TI - Similarity motions in $E_3$ with plane trajectories
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 3
SP - 194
EP - 201
AB - In this paper the author finds and describes all similarity space motions, which have only plane trajectories of points. All such motions are explicitly expressed. They are of 5 types, all of them cylindrical. Trajectories are conic sections (3 types) or arbitrary plane curves (2 types).
LA - eng
KW - Darboux motions; kinematics; similarity motions; Darboux motions; kinematics; similarity motions
UR - http://eudml.org/doc/15195
ER -

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