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The Geometrical Loci of Laguerre’s points of Perspective elliptical Involuted Sets

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1996
The Geometrical Loci of Laguerre’s points of Perspective elliptical Involuted Sets (6.562Mb)
Authors
Popkonstantinović, Branislav
Obradović, Marija
Contributors
Wyzykowski, A
Dyduch, T
Gorska, R
Piekarski, L
Žakowska, L
Conference object (Published version)
,
Branislav Popkonstantinović
Metadata
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Abstract
This paper discloses the proof, based on the space restitution, that geometrical loci of Laguerre's points of perspective elliptical involuted sets represent two circles. The exposed theorem is a contribution to the theory of Projective geometry; moreover, it makes the constructive methods of an objects axial rotation in central projection more effective.
Keywords:
Laguerre's points / involution / restitution / Projective geometry
Source:
Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG), 1996, 1, 128-131
Publisher:
  • Cracow University of Technology, Cracow, 1996.

ISBN: 83-904805-5-7

[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_2720
URI
https://grafar.grf.bg.ac.rs/handle/123456789/2720
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
Institution/Community
GraFar
TY  - CONF
AU  - Popkonstantinović, Branislav
AU  - Obradović, Marija
PY  - 1996
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2720
AB  - This paper discloses the proof, based on the space restitution, that geometrical loci of Laguerre's points of perspective elliptical involuted sets represent two circles. The exposed theorem is a contribution to the theory  of Projective geometry; moreover, it makes the constructive methods of an objects axial rotation in central projection more effective.
PB  - Cracow University of Technology, Cracow, 1996.
C3  - Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG)
T1  - The Geometrical Loci of Laguerre’s points of Perspective elliptical Involuted Sets
EP  - 131
SP  - 128
VL  - 1
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2720
ER  - 
@conference{
author = "Popkonstantinović, Branislav and Obradović, Marija",
year = "1996",
abstract = "This paper discloses the proof, based on the space restitution, that geometrical loci of Laguerre's points of perspective elliptical involuted sets represent two circles. The exposed theorem is a contribution to the theory  of Projective geometry; moreover, it makes the constructive methods of an objects axial rotation in central projection more effective.",
publisher = "Cracow University of Technology, Cracow, 1996.",
journal = "Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG)",
title = "The Geometrical Loci of Laguerre’s points of Perspective elliptical Involuted Sets",
pages = "131-128",
volume = "1",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2720"
}
Popkonstantinović, B.,& Obradović, M.. (1996). The Geometrical Loci of Laguerre’s points of Perspective elliptical Involuted Sets. in Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG)
Cracow University of Technology, Cracow, 1996.., 1, 128-131.
https://hdl.handle.net/21.15107/rcub_grafar_2720
Popkonstantinović B, Obradović M. The Geometrical Loci of Laguerre’s points of Perspective elliptical Involuted Sets. in Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG). 1996;1:128-131.
https://hdl.handle.net/21.15107/rcub_grafar_2720 .
Popkonstantinović, Branislav, Obradović, Marija, "The Geometrical Loci of Laguerre’s points of Perspective elliptical Involuted Sets" in Proceedings of the 7th International Conference on Engineering Computer Graphic and Descriptive Geometry (ICECGDG), 1 (1996):128-131,
https://hdl.handle.net/21.15107/rcub_grafar_2720 .

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