Euclidean space motions with affinely equivalent trajectories

Karger, Adolf. "Euclidean space motions with affinely equivalent trajectories." Aplikace matematiky 28.1 (1983): 32-43. <http://eudml.org/doc/15272>.

@article{Karger1983,
abstract = {The author studies the Euclidean space motions with the property that the trajectory of every point is an affine image of a given space curve. Such motions split into plane motions and translations and their trajectories are cylindrical curves. They are characterized as motions with the following property: Not all trajectories are plane curves and if any trajectory has a planar point, it lies in a plane. Motions with infinitely many straight trajectories form a special subclass of those motions.},
author = {Karger, Adolf},
journal = {Aplikace matematiky},
keywords = {Euclidean space motions; trajectories; Euclidean space motions; trajectories},
language = {eng},
number = {1},
pages = {32-43},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Euclidean space motions with affinely equivalent trajectories},
url = {http://eudml.org/doc/15272},
volume = {28},
year = {1983},
}

TY - JOUR
AU - Karger, Adolf
TI - Euclidean space motions with affinely equivalent trajectories
JO - Aplikace matematiky
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 1
SP - 32
EP - 43
AB - The author studies the Euclidean space motions with the property that the trajectory of every point is an affine image of a given space curve. Such motions split into plane motions and translations and their trajectories are cylindrical curves. They are characterized as motions with the following property: Not all trajectories are plane curves and if any trajectory has a planar point, it lies in a plane. Motions with infinitely many straight trajectories form a special subclass of those motions.
LA - eng
KW - Euclidean space motions; trajectories; Euclidean space motions; trajectories
UR - http://eudml.org/doc/15272
ER -