The logarithmic spiral, autoisoptic curve

Puerta Romero, Francisco and Gómez-Elvira González, Miguel Angel and San Antonio Gomez, Jose Carlos de and Pérez Martín, Enrique and Conejo Martin, Miguel Angel (2010). The logarithmic spiral, autoisoptic curve. "Anales de Ingeniería Gráfica" (n. 21/201); pp. 41-45. ISSN 1137-7704.

Description

Title: The logarithmic spiral, autoisoptic curve
Author/s:
  • Puerta Romero, Francisco
  • Gómez-Elvira González, Miguel Angel
  • San Antonio Gomez, Jose Carlos de
  • Pérez Martín, Enrique
  • Conejo Martin, Miguel Angel
Item Type: Article
Título de Revista/Publicación: Anales de Ingeniería Gráfica
Date: 2010
ISSN: 1137-7704
Subjects:
Faculty: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Department: Ingeniería Cartográfica, Geodesia y Fotogrametría [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In the Line of Investigation that in the department of “Technical Drawing” in the School of Agriculture Engineering of Madrid, we carry out on the study of The Technical Curves and his singularities, we demonstrate an interesting property of the Logarithmic Spiral. The demonstrated property consists of which the logarithmic spiral is a autoisoptic curve, that is to say that if from a point P anyone of the spiral tangent straight lines draw up to the previous arc, these form a constant angle α. This demonstration is novel and in addition we get to contribute a method to calculate the angle α given the equation of the spiral.

More information

Item ID: 12402
DC Identifier: http://oa.upm.es/12402/
OAI Identifier: oai:oa.upm.es:12402
Official URL: http://www.ingegraf.es/revista.php
Deposited by: Memoria Investigacion
Deposited on: 10 Aug 2012 07:54
Last Modified: 21 Apr 2016 11:39
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