In the last decacìes, university teaching has introduced Geometry as a chapter of Linear Algebra. This implies that geometrical culture and spacial intuition are more and more lacking in the new gcnerations of graduated in Mathematics, which of course has a negative feedback on the qualitv of mathematics teaching and its educational value. So it is important to show the links existing between the synthetic and the analytic approach to the geometry. In this paper we offer a very generai way that, bearing in mind the development of geometrical thought in the last two centuries, allows to shift from one setting to the other. Such procedure, which doesn't depend on the axioms of order nor on those of congruence (and which therefore is not necessarily linked to the field of real numbers), allows to extend to a wide class ofplanes (incÌuding the Eiiclidean one) the notions of similitude and isometry and to find out and claracterize their equations.

Piani formalmente euclidei / Pellegrino, Consolato; Fiori, Carla. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. - ISSN 0035-6298. - STAMPA. - 3 (serie VI):(2000), pp. 199-213.

### Piani formalmente euclidei

#### Abstract

In the last decacìes, university teaching has introduced Geometry as a chapter of Linear Algebra. This implies that geometrical culture and spacial intuition are more and more lacking in the new gcnerations of graduated in Mathematics, which of course has a negative feedback on the qualitv of mathematics teaching and its educational value. So it is important to show the links existing between the synthetic and the analytic approach to the geometry. In this paper we offer a very generai way that, bearing in mind the development of geometrical thought in the last two centuries, allows to shift from one setting to the other. Such procedure, which doesn't depend on the axioms of order nor on those of congruence (and which therefore is not necessarily linked to the field of real numbers), allows to extend to a wide class ofplanes (incÌuding the Eiiclidean one) the notions of similitude and isometry and to find out and claracterize their equations.
##### Scheda breve Scheda completa Scheda completa (DC)
2000
3 (serie VI)
199
213
Piani formalmente euclidei / Pellegrino, Consolato; Fiori, Carla. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. - ISSN 0035-6298. - STAMPA. - 3 (serie VI):(2000), pp. 199-213.
Pellegrino, Consolato; Fiori, Carla
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11380/594768`
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