The geometry of Piero della Francesca

Mathematical Intelligencer

Volumn 19, Issue 3, 1997, Pages 33-40

  Peterson, Mark A ^a  

^a MOUNT HOLYOKE COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039921907     PISSN: 03436993     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf03025346     Document Type: Article

References (25)

1. MA Lavin, "The Piero Project," in Piero della Francesca and His Legacy, ed. by M.A. Lavin, University Press of New England, Hanover, NH (1995), 315-323.
2. G. Vasari, Le Opere, ed. G. Milanesi, vol. 2, Florence (1878), 490.
3. Piero della Francesca, De Prospectiva Pingendi, ed. G. Nicco Fasola, 2 vols., Florence (1942).
4. Piero della Francesca, Trattato d'Abaco, ed. G. Arrighi, Pisa (1970).
5. Piero della Francesca, L'opera "De corporibus regularibus" di Pietro Franceschi detto della Francesca usurpata da Fra Luca Pacioli, ed. G. Mancini, Rome, (1916).
6. M. Clagett, Archimedes in the Middle Ages, University of Wisconsin Press, 1971.
7. T.L. Heath, The Thirteen Books of Euclid's Elements, Cambridge University Press (1908), 97.
8. T.L. Heath, The Works of Archimedes, Cambridge University Press (1897), xxix.
9. M. Clagett, op. cit. vol 3, pp. 383-415.
10. P. Grendler, "What Piero Learned in School: Fifteenth-Century Vernacular Education," in Piero della Francesca and His Legacy, ed. M.A. Lavin, University Press of New England (1995), 161-176.
11. Leon Battista Alberti, On Painting, ed. Martin Kemp, trans. Cecil Grayson, London-New York (1991).
12. M. Kemp, "Piero and the Idiots: The Early Fortuna of His Theories of Perspective," in Piero della Francesca and His Legacy, ed. M.A. Lavin, University Press of New England (1995), 199-212.
13. J.V. Field, "A Mathematician's Art," in Piero della Francesca and His Legacy, ed. M.A. Lavin, University Press of New England (1995), 177-198.
14. J. Elkins, "Piero della Francesca and the Renaissance Proof of Linear Perspective," Art Bulletin 69 (1987), 220-230.
15. M.D. Davis, Piero della Francesca's Mathematical Treatises, Longo Editore, Ravenna (1971).
16. S.A. Jayawardene, 'The 'Trattato d'abaco' of Piero della Francesca," in Cultural Aspects of the Italian Renaissance, Essays in Honour of Paul Oskar Kristeller, ed C. Clough, Manchester (1976).
17. r, Problem 36.
18. L. Pacioli, De Divina Proportione, Venice (1509).
19. J.J. Sylvester, "On Staudt's Theorems Concerning the Contents of Polygons and Polyhedrons, with a Note on a New and Resembling Class of Theorems,' Philosophical Magazine IV (1852), 335-345.
20. T.L. Heath, The Method of Archimedes, Recently Discovered by Heiberg, Cambridge University Press (1912).
21. P.R. Cromwell, "Kepler's Work on Polyhedra", The Mathematical Intelligencer Vol. 17, No. 3, New York (1995), 23-33.
22. Nicolo Tartaglia, Trattato Generale di Numeri e Misure, Venice (1559).
23. Nicolo Tartaglia, op. cit., Part IV Book 2, and Part V Book 2.
24. r.
25. In this paragraph I paraphrase arguments culled from 18th century sources by Gino Arrighi and quoted by him in the introduction to Ref. [4].