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  4. 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
  5. QuaderniCIRD 18 (2019)
  6. La Geometria Liberata
 
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La Geometria Liberata

The Freed Geometry
Zampa, Alessandro
•
Rupeni, Franco
2019
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ISSN
2039-8646
DOI
10.13137/2039-8646/29168
http://hdl.handle.net/10077/29168
  • Article

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.
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 
Subjects
  • Geometria Euclidea

  • Euclidean Geometry

  • Geometrie Non-Euclide...

  • Non-Euclidean Geometr...

  • Unificazione

  • Unification

Publisher
EUT Edizioni Università di Trieste
Source
Alessandro Zampa, Franco Rupeni, "La Geometria Liberata", in: QuaderniCIRD, 18 (2019), pp. 82-112
Languages
it
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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