La Superficie Polar de Gaspard Monge. Una aproximación desde el pensamiento gráfico aumentado
[EN] The polar surface of a curve is defined as the envelope of the normal planes along the curve. It is part of the set of three developable surfaces generated by the movement of the Frenet frame, together with torsal and rectifying surfaces. The idea of a surface formed by the polar axes of a curv...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | español inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/203914 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/203914 |
| Access Level: | acceso abierto |
| Palabra clave: | Polar surfaces Developable surfaces Gaspard Monge Descriptive geometry Offset curves Frenet frame Architectural geometry Augmented graphic thinking Superficies polares Superficies desarrollables Geometría descriptiva Curvas paralelas Triedro de Frenet Geometría arquitectónica Pensamiento gráfico aumentado |
| Sumario: | [EN] The polar surface of a curve is defined as the envelope of the normal planes along the curve. It is part of the set of three developable surfaces generated by the movement of the Frenet frame, together with torsal and rectifying surfaces. The idea of a surface formed by the polar axes of a curve is the brainchild of Gaspard Monge who described its properties in Mémoire sur les développées, les rayons de courbure et les différents genres d inflexions des courbes (1785).Polar surfaces, despite having been mentioned in several manuals of Descriptive Geometry, have yet to be described from the point of view of graphic thinking. This article reviews Monge s original text, bringing to light their little-known applications which present great interest for architectural design. |
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