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Optimisation Problems for Ovals

  • Angelo Alessandro Mazzotti
Chapter

Abstract

Once formulas describing parameters or other characteristics of an oval have been derived (in Chap.  4), calculus can be used to consider them as functions of a certain quantity and see how they vary. In this short chapter as an example we present here the solution to the problems of minimising the difference and the ratio of the radii of a simple oval with given axes a and b. The first of these two problems being suggested by Edoardo Dotto.

References

  1. 1.
    Fernández Gómez, M.: Trazas de óvalos y elipses en los Tratados de Arquitectura de los siglos XVI y XVII. In: La formación cultural arquitectónica en la enseñanza del dibujo. Actas del Quinto Congreso Internacional de Expresión Gráfica Arquitectónica. Universidad de las Palmas de Gran Canaria, Departamento de Expresión Gráfica y Proyectación Arquitectónica. Las Palmas de Gran Canaria, 5th–7th May 1994, pp. 335–378 (1994)Google Scholar
  2. 2.
    López Mozo, A.: Oval for any given proportion in architecture: a layout possibly known in the sixteenth century. Nexus Netw. J. 13(3), 569–597 (2011)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Angelo Alessandro Mazzotti
    • 1
  1. 1.RomaItaly

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