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Journal for Geometry and Graphics 25 (2021), No. 1, 127--137
Copyright Heldermann Verlag 2021

A Quadratic Mapping Related to Frégier's Theorem and Some Generalisations

Gunter Weiß
Technische Universität, Dresden, Germany
and: University of Technology, Vienna, Austria

Pavel Pech
Faculty of Education, University of South Bohemia, Ceske Budejovice, Czech Republic

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.

Keywords: Conic section, Steiner's generation, Fregier point, quadratic mapping.

MSC: 51Mxx; 51N15, 51N20, 51N35.

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