Geodesic
A Quadratic Mapping Related to Frégier's Theorem and Some Generalisations
Journal for geometry and graphics, Tome 25 (2021) no. 1, pp. 127-137
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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 Frégier. 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 
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     author = {G. Wei\~AŸ and P. Pech},
     title = {A {Quadratic} {Mapping} {Related} to {Fr\~A{\textcopyright}gier's} {Theorem} and {Some} {Generalisations}},
     journal = {Journal for geometry and graphics},
     pages = {127--137},
     year = {2021},
     volume = {25},
     number = {1},
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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/