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Affine Conform Planes as the Special Cases of General Collinear Planes

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1996
Affine Conform Planes as the Special Cases of General Collinear Planes (7.033Mb)
Authors
Obradović, Marija
Popkonstantinović, Branislav
Contributors
Wyzykowski, Andrzej
Dyduch, Tadeusz
Gorska, Renata
Piekarski, Leszek
Žakowska, Lidia
Conference object (Published version)
Metadata
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Abstract
General collinear planes whose double straight line is at infinity are affine collinear planes. Affine collinear planes whose double points of collocation on the infinitely distant double straight line are the absolute points or their real representatives, are the conform planes. The paper considers conform affine transformations: homothety, translation, rotation and axial symmetry, as well as their combinations by defining their types of collocation as: elliptic, hyperbolic, parabolic or perspectivelly collinear.
Keywords:
affine / collineation / homothety / translation / rotation / axial symmetry
Source:
Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG), 1996, 1, 141-144
Publisher:
  • Cracow University of Technology, Cracow, 1996.

ISBN: 83-904805-5-7

[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_2719
URI
https://grafar.grf.bg.ac.rs/handle/123456789/2719
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
Institution/Community
GraFar
TY  - CONF
AU  - Obradović, Marija
AU  - Popkonstantinović, Branislav
PY  - 1996
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2719
AB  - General collinear planes whose double straight line is at infinity are affine collinear planes.
Affine collinear planes whose double points of collocation on the infinitely distant double straight line are the absolute points or their real representatives, are the conform planes. The paper considers conform affine transformations: homothety, translation, rotation and axial symmetry, as well as their combinations by defining their types of collocation as: elliptic, hyperbolic, parabolic or perspectivelly collinear.
PB  - Cracow University of Technology, Cracow, 1996.
C3  - Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG)
T1  - Affine Conform Planes as the Special Cases of General Collinear Planes
EP  - 144
SP  - 141
VL  - 1
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2719
ER  - 
@conference{
author = "Obradović, Marija and Popkonstantinović, Branislav",
year = "1996",
abstract = "General collinear planes whose double straight line is at infinity are affine collinear planes.
Affine collinear planes whose double points of collocation on the infinitely distant double straight line are the absolute points or their real representatives, are the conform planes. The paper considers conform affine transformations: homothety, translation, rotation and axial symmetry, as well as their combinations by defining their types of collocation as: elliptic, hyperbolic, parabolic or perspectivelly collinear.",
publisher = "Cracow University of Technology, Cracow, 1996.",
journal = "Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG)",
title = "Affine Conform Planes as the Special Cases of General Collinear Planes",
pages = "144-141",
volume = "1",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2719"
}
Obradović, M.,& Popkonstantinović, B.. (1996). Affine Conform Planes as the Special Cases of General Collinear Planes. in Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG)
Cracow University of Technology, Cracow, 1996.., 1, 141-144.
https://hdl.handle.net/21.15107/rcub_grafar_2719
Obradović M, Popkonstantinović B. Affine Conform Planes as the Special Cases of General Collinear Planes. in Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG). 1996;1:141-144.
https://hdl.handle.net/21.15107/rcub_grafar_2719 .
Obradović, Marija, Popkonstantinović, Branislav, "Affine Conform Planes as the Special Cases of General Collinear Planes" in Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG), 1 (1996):141-144,
https://hdl.handle.net/21.15107/rcub_grafar_2719 .

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