Deuteronomic Texts: Late Antiquity and the History of Mathematics

Reviel Netz

Revue d'histoire des mathématiques (1998)

  • Volume: 4, Issue: 2, page 261-288
  • ISSN: 1262-022X

How to cite

top

Netz, Reviel. "Deuteronomic Texts: Late Antiquity and the History of Mathematics." Revue d'histoire des mathématiques 4.2 (1998): 261-288. <http://eudml.org/doc/252027>.

@article{Netz1998,
author = {Netz, Reviel},
journal = {Revue d'histoire des mathématiques},
keywords = {commentary tradition; classical ancient and medieval Ideal image of mathematics elements; post-Euclidean transformations},
language = {eng},
number = {2},
pages = {261-288},
publisher = {Société mathématique de France},
title = {Deuteronomic Texts: Late Antiquity and the History of Mathematics},
url = {http://eudml.org/doc/252027},
volume = {4},
year = {1998},
}

TY - JOUR
AU - Netz, Reviel
TI - Deuteronomic Texts: Late Antiquity and the History of Mathematics
JO - Revue d'histoire des mathématiques
PY - 1998
PB - Société mathématique de France
VL - 4
IS - 2
SP - 261
EP - 288
LA - eng
KW - commentary tradition; classical ancient and medieval Ideal image of mathematics elements; post-Euclidean transformations
UR - http://eudml.org/doc/252027
ER -

References

top
  1. [1] Brashear ( William) [1994] Vier neue Texte zum antiken Bildungswesen, Archiv für Papyrusforschung, 40 (1994), pp.29–35. 
  2. [2] Brentjes ( Sonja) [Ms.] Additions to Book I in the Arabic Traditions of Euclid’s Elements, Max-Planck Institute for the History of Science, Berlin. 
  3. [3] Chemla ( Karine) [1992] Résonances entre démonstration et procédure: Remarques sur le commentaire de Liu Hui (IIIe siècle) aux Neuf Chapitres sur les Procédures Mathématiques (Ier siècle), Extrême-Orient, Extrême-Occident, 14 (1992), p.91–129. 
  4. [4] Carroll ( Lewis) [1895] What the tortoise said to Achilles, Mind, 1895, pp.278–280. MR1360394
  5. [5] Corry ( Leo) [1989] Linearity and Reflexivity in the Growth of Mathematical Knowledge, Science in Context, 3 (1989), pp.409-440. Zbl1181.00007
  6. [6] Cuomo ( Serafina) [forthcoming] The Faces of Mathematics in Late Antiquity: Notes on Pappus of Alexandria’s Mathematical Collection. Cambridge, forthcoming. 
  7. [7] Dodge ( Bayard), tr. [1970] The Fihrist of al-Nadim; a Tenth-Century Survey of Muslim Culture, New York, 1970. 
  8. [8] Fowler ( David H.F.) [1987] The Mathematics of Plato’s Academy, Oxford, 1987. Zbl0627.01002
  9. [9] Friedlein ( Gottfried), ed. [1873] Procli Diadochi In Primum Euclidis Elementorum Librum Commentarii, Leipzig, 1873. JFM05.0003.03
  10. [10] Goldstein ( Catherine) [1995] Un théorème de Fermat et ses lecteurs, Saint-Denis: Presses Universitaires de Vincennes, 1995 Zbl0879.01013MR1351497
  11. [11] Heath ( Thomas L.) [1956] The Thirteen Books of Euclid’s Elements, réimpr. de la 2e éd., New-York : Dover Publ., 1956. Zbl1026.01024MR75873
  12. [12] Heiberg ( Johan Ludwig), ed. [1883] Euclidis Elementa, Leipzig, 1883. 
  13. [13] Heiberg ( Johan Ludwig), ed. [1895] Euclidis Optica, Leipzig, 1895. 
  14. [14] Heiberg ( Johan Ludwig), ed. [1910] Archimedis Opera Vol. I, Leipzig, 1910. 
  15. [15] Heiberg ( Johan Ludwig), ed. [1913] Archimedis Opera Vol. III, Leipzig, 1913. 
  16. [16] Heiberg ( Johan L.), Besthorn ( Rasmus O.), eds. [1900] Codex Leidensis 399, 1 Vol. II, Copenhagen, 1900. 
  17. [17] Hogendijk ( Jan P.) [1985] Ibn Al-Haytham’s Completion of the Conics, New York, 1985. Zbl0562.01003MR769652
  18. [18] HØyrup ( Jens) [1990] Algebra and Naive Geometry. An Investigation of Some Basic Aspects of Old Babylonian Mathematical Thought, Altorientalische Forschungen, 17 (1990), pp.27–69, 262–354. 
  19. [19] Jones ( Alexander) [1986] Book 7 of the Collection / Pappus of Alexandria, New York, 1986. MR816533
  20. [20] Jones ( Alexander) [1994] Peripatetic and Euclidean Theories of the Visual Ray, Physis, 31 (1994), pp.47-76. Zbl0806.01003MR1343198
  21. [21] Knorr ( Wilbur R.) [1986] The Ancient Tradition of Geometric Problems, Boston: Birkhäuser, 1986. Zbl0588.01002MR884893
  22. [22] Knorr ( Wilbur R.) [1989] Textual Studies in Ancient and Medieval Geometry, Boston: Birkhäuser, 1989. Zbl0684.01002MR1029522
  23. [23] Knorr ( Wilbur R.) [1994] Pseudo-Euclidean Reflections in Ancient Optics: a Re-examination of Textual Issues Pertaining to the Euclidean Optica and Catoptrica, Physis, 31 (1994), pp.1–45. Zbl0806.01004MR1343197
  24. [24] Knorr ( Wilbur R.) [1996] The Wrong Text of Euclid: on Heiberg’s Text and its Alternatives, Centaurus, 38 (1996), pp.208–276. Zbl0861.01014MR1384401
  25. [25] Mau ( Jürgen), Mueller ( W.) [1962] Mathematische Ostraka aus der Berliner Sammlung, Archiv für Papyrusforschung, 17 (1962), pp.1–10. Zbl0095.00106
  26. [26] Morrow ( Glenn R.), tr. [1992] Proclus: a Commentary on the First Book of Euclid’s Elements, Princeton, 1992. Zbl0229.01002MR1200456
  27. [27] Mueller ( Ian) [1981] Philosophy of Mathematics and Deductive Structure in Euclid’s Elements, Cambridge MA, 1981. Zbl0582.01003
  28. [28] Netz ( Reviel) [1999a] Archimedes Transformed: the Case of a Result Stating a Maximum for a Cubic Equation, Archive for the History of Exact Sciences, 54 (1999), pp.1–50. Zbl0928.01004MR1697182
  29. [29] Netz ( Reviel) [1999b] The Shaping of Deduction in Greek Mathematics: a Study in Cognitive History. Cambridge, 1999. Zbl1025.01002MR1683176
  30. [30] Netz ( Reviel) [forthcoming] Proclus’ Division of the Mathematical Proposition into Parts: how and why was it Formulated?, Classical Quarterly. MR1785350
  31. [31] Saito ( Ken) [1997] Index of the Propositions Used in Book 7 of Pappus’ Collection, Jinbun Kenkyu: The Journal of Humanities (Faculty of Letters, Chiba University), 26 (1997), pp.155–188. MR1694371
  32. [32] Toomer ( Gerald J.) [1984] Ptolemy’s Almagest, London, 1984. MR731698
  33. [33] Toomer ( Gerald J.) [1990] Conics: Books V to VII / Apollonius: The Arabic Translation, New York. MR1053158
  34. [34] Turner ( Eric G.), Fowler ( David H.F.), Koenen ( Ludwig), Youtie ( Louise C.) [1985] Euclid, Elements I, Definitions 1–10 (P.Mich. iii 143), Yale Classical Studies, 28 (1985), pp.13–24. 
  35. [35] Unguru ( Sabetai) [1975] On the Need to Rewrite the History of Greek Mathematics, Archive for the History of Exact Sciences, 15 (1975), pp.67–114. Zbl0325.01002MR504604
  36. [36] Unguru ( Sabetai) [1979] History of Ancient Mathematics: Some Reflections on the State of the Art, Isis, 70 (1979), pp.555–564. Zbl0424.01003MR550033

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.