La Superficie Polar de Gaspard Monge. Una aproximación desde el pensamiento gráfico aumentado
- Martín Pastor, Andrés 1
- González Quintial, Francisco 2
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1
Universidad de Sevilla
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2
Universidad del País Vasco/Euskal Herriko Unibertsitatea
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Universidad del País Vasco/Euskal Herriko Unibertsitatea
Lejona, España
ISSN: 1133-6137, 2254-6103
Argitalpen urtea: 2024
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Beste argitalpen batzuk: EGA: revista de expresión gráfica arquitectónica
Laburpena
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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