Skip to main content

The Mathematical Ideas of Luca Pacioli Depicted by Iacopo de’ Barbari in the Doppio ritratto

  • Chapter
Imagine Math

Abstract

Of the paintings that are part of Urbino’s history, the one that is usually considered the most mysterious and problematic is Piero della Francesca’s Flagellation. But there is another painting that also comes from Urbino which is just as mysterious and problematic: the so-called Doppio ritratto, or dual portrait, by the Venetian painter Iacopo de’ Barbari.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Before the Greek text of Euclid’s Elements prepared by Simon Grynaeus (1493–1541) in 1533 (and occasionally afterwards as well, as shown by the Italian translation by Tartaglia), the Elements were known only in Latin translations of Arabic translations from the Greek. In all these translations, the proposition in Book XIII which in Greek we find denoted as proposition 12 is indicated as proposition 8. In the portrait of Pacioli, the book on which his hand rests is his own edition of 1509, which he says is the corrected text of the ‘translation’ (in quotation marks because it the interventions are major) done by Campano in the mid-thirteenth century, based on a variety of Arabic sources. Thus, although the modern reader will identify it as proposition 12, here it is identified as proposition 8 because we are referring to the text that Pacioli knew. Many thanks to Fabio Acerbi, editor of Euclide, Tutte le Opere, Milan: Bompiani, 2007.

References

  1. A. Ciocci, Luca Pacioli tra Piero della Francesca e Leonardo. Aboca Museum Edizioni, Sansepolcro, 2009.

    Google Scholar 

  2. Euclid, Euclide. Tutte le Opere. Introduction, translation, notes and critical apparatus by Fabio Acerbi. Bompiani, Milano, 2007.

    Google Scholar 

  3. E. Giusti (ed.), Luca Pacioli e la matematica del Rinascimento (Conference proceedings). Petruzzi, Città di Castello, 1998.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Italia

About this chapter

Cite this chapter

Gamba, E. (2012). The Mathematical Ideas of Luca Pacioli Depicted by Iacopo de’ Barbari in the Doppio ritratto . In: Emmer, M. (eds) Imagine Math. Springer, Milano. https://doi.org/10.1007/978-88-470-2427-4_25

Download citation

Publish with us

Policies and ethics