Desargues' Configuration in a Special Layout
Journal for geometry and graphics, Tome 7 (2003) no. 2, pp. 191-2
Cet article a éte moissonné depuis la source Heldermann Verlag
A special case of Desargues' configuration will be discussed, where one triangle is inscribed into a conic and the other is circumscribed about the same conic. These two triangles are in a correspondence called a Desargues collineation KD. Three theorems have been formulated and proved. One of them characterizes the central collineation KD. In a Desargues collineation the base conic will be transformed into another conic. Different cases are discussed. In the case of a base circle the center of the collineation KD coincides with the Gergonne point.
Classification :
51M35, 51M05
Mots-clés : Desargues configuration, collineation
Mots-clés : Desargues configuration, collineation
@article{JGG_2003_7_2_JGG_2003_7_2_a5,
author = {B. Wojtowicz},
title = {Desargues' {Configuration} in a {Special} {Layout}},
journal = {Journal for geometry and graphics},
pages = {191--2},
year = {2003},
volume = {7},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2003_7_2_JGG_2003_7_2_a5/}
}
B. Wojtowicz. Desargues' Configuration in a Special Layout. Journal for geometry and graphics, Tome 7 (2003) no. 2, pp. 191-2. http://geodesic.mathdoc.fr/item/JGG_2003_7_2_JGG_2003_7_2_a5/