Skip to main content
Top

2014 | OriginalPaper | Chapter

Proportion and Continuous Variation in Vitruvius’s De Architectura

Author : Bernard Cache

Published in: Geometrical Objects

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

It is important to balance Vitruvius’s discussion of the architectural orders, centered on temples, with his sections on civil and, in particular, domestic architecture. It is in this domain, the subject of Book 6 (Chapters 3 and 4) of the De Architectura, that the relationships implied by the term symmetria appear explicitly, in both functional and aesthetic terms and without interference from the question of whether the recommended ratios are affected by the transformation of wooden temples to stone ones. Based on a review of his rules for designing atria, the Vitruvian conception of order as genus appears not as a fixed set of ideal relationships laid down once and for all, but as a series of variations in proportion. While certainly not obeying the concept of “function” as developed in the seventeenth century, these variations can nevertheless be shown to follow continuous curves interpolated from sets of derived values. In this respect, the Vitruvian project finds contemporary expression in today’s CAD/CAM software.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Aristotle. 1925. Nicomachean Ethics. Trans. W.D. Ross. Oxford: Clarendon Press. Aristotle. 1925. Nicomachean Ethics. Trans. W.D. Ross. Oxford: Clarendon Press.
go back to reference Bankel, Hansgeorg. 1999. Scamilli inpares at an early Hellenistic Ionic propylon at Knidos: New evidence for the construction of a curvature. In Appearance and essence, refinements of classical architecture: Curvature, ed. Lothar Haselberger, 127–138. Philadelphia: The University Museum, University of Pennsylvania. Bankel, Hansgeorg. 1999. Scamilli inpares at an early Hellenistic Ionic propylon at Knidos: New evidence for the construction of a curvature. In Appearance and essence, refinements of classical architecture: Curvature, ed. Lothar Haselberger, 127–138. Philadelphia: The University Museum, University of Pennsylvania.
go back to reference Choisy, Auguste. 1909. Vitruve. Paris: Lahure. Choisy, Auguste. 1909. Vitruve. Paris: Lahure.
go back to reference Coxeter, H.S.M. 1964. Projective geometry. New York: Springer. Coxeter, H.S.M. 1964. Projective geometry. New York: Springer.
go back to reference Geertman, Herman. 1984. Vitruvio e i rapporti numerici. Bulletin Antieke Beschaving 59(1): 53–62. Geertman, Herman. 1984. Vitruvio e i rapporti numerici. Bulletin Antieke Beschaving 59(1): 53–62.
go back to reference Gros, Pierre. 2006 [1976]. Nombres irrationnels et nombres parfaits chez Vitruve. In Vitruve et la tradition des traités d’architecture, Fabrica et Racionatio: Recueil d’études, 75–111. Rome: École française de Rome. Gros, Pierre. 2006 [1976]. Nombres irrationnels et nombres parfaits chez Vitruve. In Vitruve et la tradition des traités d’architecture, Fabrica et Racionatio: Recueil d’études, 75–111. Rome: École française de Rome.
go back to reference Hallier, Gilbert. 1989. Entre les règles de Vitruve et la réalité archéologique: l’atrium toscan. In Munus non Ingratum: Proceedings of the international symposium on Vitruvius’ De Architectura and the Hellenistic and Republican Architecture, Leiden 20–23 January 1987, ed. H. Geertman and J.J. de Jong, 194–211. Leiden: Babesch. Hallier, Gilbert. 1989. Entre les règles de Vitruve et la réalité archéologique: l’atrium toscan. In Munus non Ingratum: Proceedings of the international symposium on Vitruvius’ De Architectura and the Hellenistic and Republican Architecture, Leiden 20–23 January 1987, ed. H. Geertman and J.J. de Jong, 194–211. Leiden: Babesch.
go back to reference Haselberger, Lothar. 1999. Old issues, new research, latest discoveries: Curvature and other classical refinements. In Appearance and essence, refinements of classical architecture: Curvature, ed. Lothar Haselberger, 1–68. Philadelphia: The University Museum, University of Pennsylvania. Haselberger, Lothar. 1999. Old issues, new research, latest discoveries: Curvature and other classical refinements. In Appearance and essence, refinements of classical architecture: Curvature, ed. Lothar Haselberger, 1–68. Philadelphia: The University Museum, University of Pennsylvania.
go back to reference Heath, Thomas (ed.). 1896. Apollonius of Perga: Treatise on conic sections. Cambridge: Cambridge University Press. Heath, Thomas (ed.). 1896. Apollonius of Perga: Treatise on conic sections. Cambridge: Cambridge University Press.
go back to reference Heath, Thomas. 1921. A history of Greek mathematics. Oxford: Clarendon. Heath, Thomas. 1921. A history of Greek mathematics. Oxford: Clarendon.
go back to reference Neugebauer, Otto. 1975. A history of ancient mathematical astronomy. Berlin/Heidelberg/New York: Springer.CrossRef Neugebauer, Otto. 1975. A history of ancient mathematical astronomy. Berlin/Heidelberg/New York: Springer.CrossRef
go back to reference Panza, Marco. 1989. La Statua di Fidia: Analisi filosofica di una teoria matematica, Il calcolo delle flussioni. Milan: Unicopli. Panza, Marco. 1989. La Statua di Fidia: Analisi filosofica di una teoria matematica, Il calcolo delle flussioni. Milan: Unicopli.
go back to reference Pappus of Alexandria. 1982 [1st ed. 1933]. La Collection Mathématique, ed. Paul Ver Eecke. Paris: Blanchard. Pappus of Alexandria. 1982 [1st ed. 1933]. La Collection Mathématique, ed. Paul Ver Eecke. Paris: Blanchard.
go back to reference Riposati, Benedetto (ed.). 1939. M. Terenti Varronis De vita populi Romani. Milan: Società Editrice “Vita e Pensiero”. Riposati, Benedetto (ed.). 1939. M. Terenti Varronis De vita populi Romani. Milan: Società Editrice “Vita e Pensiero”.
go back to reference Varro. 1977–1979, 1st ed. 1938. On the Latin Language. Trans. Roland G. Kent. Loeb Classical Library. Cambridge, MA: Harvard University Press. Varro. 1977–1979, 1st ed. 1938. On the Latin Language. Trans. Roland G. Kent. Loeb Classical Library. Cambridge, MA: Harvard University Press.
go back to reference Vitruvius. 1990. De l’architecture: Livre III, ed. Pierre Gros. Paris: Les Belles Lettres. Vitruvius. 1990. De l’architecture: Livre III, ed. Pierre Gros. Paris: Les Belles Lettres.
go back to reference Vitruvius. 1999. Ten books on architecture, ed. Ingrid D. Rowland and Thomas Noble Howe. Cambridge: Cambridge University Press. Vitruvius. 1999. Ten books on architecture, ed. Ingrid D. Rowland and Thomas Noble Howe. Cambridge: Cambridge University Press.
Metadata
Title
Proportion and Continuous Variation in Vitruvius’s De Architectura
Author
Bernard Cache
Copyright Year
2014
DOI
https://doi.org/10.1007/978-3-319-05998-3_2