Museization of Steiner's 10 Questions on the complete quadrilateral

Mathematics are underrepresented in Science and Technology museums. Using Steiner s 10 theorems on the complete quadrilateral as a common trail, the purpose of this paper has been to create an exhibit to illustrate what mathematics are and it s importance and beauty. The work has four independent se...

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Detalles Bibliográficos
Autor: Alemany Flos, Joan
Tipo de recurso: tesis de maestría
Fecha de publicación:2019
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/165844
Acceso en línea:https://hdl.handle.net/2117/165844
Access Level:acceso abierto
Palabra clave:Geometry, Analytic
Geometry, Descriptive
Steiner
Complete quadrilateral
Museization
Gauss-Bodenmiller
Newton line
Geometria analítica
Geometria descriptiva
Classificació AMS::51 Geometry::51N Analytic and descriptive geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria
Descripción
Sumario:Mathematics are underrepresented in Science and Technology museums. Using Steiner s 10 theorems on the complete quadrilateral as a common trail, the purpose of this paper has been to create an exhibit to illustrate what mathematics are and it s importance and beauty. The work has four independent sections: an analysis and description of some science and mathematic museums, the mathematics behind Steiner's 10 Questions on the complete quadrilateral with proofs, two exhibit proposals, and a creation of a web-app with Dynamic Geometry.