La Superficie Polar de Gaspard Monge. Una aproximación desde el pensamiento gráfico aumentado

  1. Martín Pastor, Andrés 1
  2. González Quintial, Francisco 2
  1. 1 Universidad de Sevilla
    info

    Universidad de Sevilla

    Sevilla, España

    ROR https://ror.org/03yxnpp24

  2. 2 Universidad del País Vasco/Euskal Herriko Unibertsitatea
    info

    Universidad del País Vasco/Euskal Herriko Unibertsitatea

    Lejona, España

    ROR https://ror.org/000xsnr85

Journal:
EGA: revista de expresión gráfica arquitectónica

ISSN: 1133-6137 2254-6103

Year of publication: 2024

Issue Title: in conversation with... Guillermo Vázquez Consuegra

Volume: 29

Issue: 50

Pages: 274-287

Type: Article

DOI: 10.4995/EGA.2024.19729 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: EGA: revista de expresión gráfica arquitectónica

Abstract

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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