Geometria dinâmica e reconstrução do pensamento geométrico grego na sala de aula

The use of dynamic geometry softwares by the students in the Mathematics classes, based in historical and philosophical principles, can bring back a geometric thought that, according to the Greeks, would lead to the world of knowledge. This historical path, exemplified with some constructions made...

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Main Author: Leda Maria Talavera Bastoni
Format: Article
Language:Portuguese
Published: Universidade Nove de Julho 2004-01-01
Series:Exacta
Online Access:http://www.redalyc.org/articulo.oa?id=81000209
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spelling doaj-755482473fba4ed5b0775891676234332020-11-25T00:41:48ZporUniversidade Nove de JulhoExacta1678-54281983-93082004-01-012117132Geometria dinâmica e reconstrução do pensamento geométrico grego na sala de aulaLeda Maria Talavera BastoniThe use of dynamic geometry softwares by the students in the Mathematics classes, based in historical and philosophical principles, can bring back a geometric thought that, according to the Greeks, would lead to the world of knowledge. This historical path, exemplified with some constructions made by Apollonius and Archimedes using the means of dynamic geometry with Cabri Géomètre II, will be the point of this study to verify the proposed hypotheses. Thus we are going to prove in real time the definition of parabola through the areas made by Apollonius and the Archimedes´ prove of the sum of the triangles areas obtained from a parabola segment limited by a parabolic archttp://www.redalyc.org/articulo.oa?id=81000209
collection DOAJ
language Portuguese
format Article
sources DOAJ
author Leda Maria Talavera Bastoni
spellingShingle Leda Maria Talavera Bastoni
Geometria dinâmica e reconstrução do pensamento geométrico grego na sala de aula
Exacta
author_facet Leda Maria Talavera Bastoni
author_sort Leda Maria Talavera Bastoni
title Geometria dinâmica e reconstrução do pensamento geométrico grego na sala de aula
title_short Geometria dinâmica e reconstrução do pensamento geométrico grego na sala de aula
title_full Geometria dinâmica e reconstrução do pensamento geométrico grego na sala de aula
title_fullStr Geometria dinâmica e reconstrução do pensamento geométrico grego na sala de aula
title_full_unstemmed Geometria dinâmica e reconstrução do pensamento geométrico grego na sala de aula
title_sort geometria dinâmica e reconstrução do pensamento geométrico grego na sala de aula
publisher Universidade Nove de Julho
series Exacta
issn 1678-5428
1983-9308
publishDate 2004-01-01
description The use of dynamic geometry softwares by the students in the Mathematics classes, based in historical and philosophical principles, can bring back a geometric thought that, according to the Greeks, would lead to the world of knowledge. This historical path, exemplified with some constructions made by Apollonius and Archimedes using the means of dynamic geometry with Cabri Géomètre II, will be the point of this study to verify the proposed hypotheses. Thus we are going to prove in real time the definition of parabola through the areas made by Apollonius and the Archimedes´ prove of the sum of the triangles areas obtained from a parabola segment limited by a parabolic arc
url http://www.redalyc.org/articulo.oa?id=81000209
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