Área e volume: a transição da noção de medida à de área e de volume
The main object of this work is study some elementary comcepts in Euclidean geometry. After studying the scissors-congruence between polygons, we prove the Bolayi-Gerwein theorem. We study also this concept for polyhedra and we see the Dehn theorem which claims that in the case of polyhedra the equa...
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| Format: | master thesis |
| Status: | Published version |
| Publication Date: | 2014 |
| Country: | Brasil |
| Institution: | Universidade Estadual Paulista (UNESP) |
| Repository: | Repositório Institucional da UNESP |
| Language: | Portuguese |
| OAI Identifier: | oai:repositorio.unesp.br:11449/122204 |
| Online Access: | http://hdl.handle.net/11449/122204 |
| Access Level: | Open access |
| Keyword: | Matemática Congruencias (Geometria) Polígonos Poliedros Congruences (Geometry) |
| Summary: | The main object of this work is study some elementary comcepts in Euclidean geometry. After studying the scissors-congruence between polygons, we prove the Bolayi-Gerwein theorem. We study also this concept for polyhedra and we see the Dehn theorem which claims that in the case of polyhedra the equality between the volume and the scissors-congruence are not equivalent in general. Finally, we present some activities where it is possible to check by an intuitive and a deductive manner the congruence by cutting between some polygons with the same area |
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