Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/29168
Title: La Geometria Liberata
Other Titles: The Freed Geometry
Authors: Zampa, Alessandro
Rupeni, Franco
Keywords: Geometria EuclideaEuclidean GeometryGeometrie Non-EuclideeNon-Euclidean GeometriesUnificazioneUnification
Issue Date: 2019
Publisher: EUT Edizioni Università di Trieste
Source: Alessandro Zampa, Franco Rupeni, "La Geometria Liberata", in: QuaderniCIRD, 18 (2019), pp. 82-112
Journal: QuaderniCIRD. Rivista del Centro Interdipartimentale per la Ricerca Didattica dell’Università di Trieste / Journal of the Interdepartmental Center for Educational Research of the University of Trieste - ISSN: 2039-8646 
Abstract: 
The unity of Euclidean geometry, destroyed by the discovery of the non-Euclidean worlds, is recomposed in the new Pre-Absolute Geometry Γ, subsuming the properties shared by the four geometries: Euclidean, hyperbolic, spherical, and elliptic. Once the four geometries have been created ex-novo, theory frees itself from them and shows its absolute independence. Drawing on the work of Euclid, the new geometry is easily accessible to students and teachers.

L’unità della geometria euclidea, crollata a seguito della scoperta dei mondi non-euclidei, si ricompone nella nuova Geometria Preassoluta Γ, ottenuta estrapolando dalle quattro geometrie euclidea, iperbolica, sferica ed ellittica le proprietà condivise. Generate ex novo le sole quattro geometrie elementari, la teoria se ne affranca mostrando la sua assoluta indipendenza. Suggerita da Euclide, la nuova geometria è agevolmente fruibile da studenti e docenti.
Type: Article
URI: http://hdl.handle.net/10077/29168
ISSN: 2039-8646
DOI: 10.13137/2039-8646/29168
Rights: Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Appears in Collections:QuaderniCIRD 18 (2019)

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