A Quadratic Mapping Related to Frégier's Theorem and Some Generalisations
Journal for geometry and graphics, Tome 25 (2021) no. 1, pp. 127-137
Cet article a éte moissonné depuis la source Heldermann Verlag
We start with a special Steiner's generation of a conic section based on a quadratic mapping, which is connected to a well-known theorem of Fr�gier. The paper generalises this construction of a conic to higher dimensions and to algebraic mappings of higher order.
Classification :
51Mxx, 51N15, 51N20, 51N35
Mots-clés : Conic section, Steiner's generation, Fregier point, quadratic mapping
Mots-clés : Conic section, Steiner's generation, Fregier point, quadratic mapping
@article{JGG_2021_25_1_JGG_2021_25_1_a10,
author = {G. Wei{\ss} and P. Pech },
title = {A {Quadratic} {Mapping} {Related} to {Fr\'egier's} {Theorem} and {Some} {Generalisations}},
journal = {Journal for geometry and graphics},
pages = {127--137},
year = {2021},
volume = {25},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2021_25_1_JGG_2021_25_1_a10/}
}
TY - JOUR AU - G. Weiß AU - P. Pech TI - A Quadratic Mapping Related to Frégier's Theorem and Some Generalisations JO - Journal for geometry and graphics PY - 2021 SP - 127 EP - 137 VL - 25 IS - 1 UR - http://geodesic.mathdoc.fr/item/JGG_2021_25_1_JGG_2021_25_1_a10/ ID - JGG_2021_25_1_JGG_2021_25_1_a10 ER -
G. Weiß; P. Pech . A Quadratic Mapping Related to Frégier's Theorem and Some Generalisations. Journal for geometry and graphics, Tome 25 (2021) no. 1, pp. 127-137. http://geodesic.mathdoc.fr/item/JGG_2021_25_1_JGG_2021_25_1_a10/