# Pandrosion Information

https://en.wikipedia.org/wiki/Pandrosion

Pandrosion of Alexandria ( Greek: Πανδροσιον) was a mathematician in fourth-century-AD Alexandria, discussed in the Mathematical Collection of Pappus of Alexandria and known for developing an approximate method for doubling the cube. Although there is disagreement on the subject, Pandrosion is believed by many current scholars to have been female. If so, she would be an earlier female contributor to mathematics than Hypatia.

## Contributions

Pandrosion is credited with developing a method for calculating numerically accurate but approximate solutions to the problem of doubling the cube, or more generally of calculating cube roots. It is a "recursive geometric" solution, but three-dimensional rather than working within the plane. [1] Pappus criticized this work as lacking a proper mathematical proof. [1] [2] [3] Although Pappus does not directly state that the method is Pandrosion's, he includes it in a section of his Collection dedicated to correcting what he perceives as errors in Pandrosion's students. [1] [3] Another method included in the same section, and attributable in the same way indirectly to Pandrosion, is a correct and exact method for constructing the geometric mean, simpler than the method used by Pappus. [1] [4]

## Gender

When Friedrich Hultsch prepared his 1878 translation of Pappus's Collection from Greek into Latin, the manuscript of the Collection that he used referred to Pandrosion using a feminine form of address. Hultsch decided that this must have been a mistake, and referred to Pandrosion as masculine in his translation; many later scholars have followed suit. [2] [5] However, the 1988 English translation of Pappus by Alexander Raymond Jones "argued convincingly" that the original feminine form was not a mistake, [1] and more recent scholarship has followed Jones in taking the position that Pandrosion was a woman. [3] [6] [7] [8]

## Connection to Hypatia

Hypatia has often been called the first woman to have contributed to mathematics, but Pappus died before the earliest suggested birth date of Hypatia. Therefore, Pandrosion is a likely candidate for an earlier female contributor to mathematics than Hypatia. [2] Pandrosion was also described by Pappus as a teacher of mathematics, and although Pappus recorded only men among her students, Edward J. Watts suggests that Hypatia may have known of, or even known, Pandrosion. [4]

## References

1. Knorr, Wilbur Richard (1989), "Pappus' texts on cube duplication", Textual Studies in Ancient and Medieval Geometry, Boston: Birkhäuser, pp. 63–76, doi: 10.1007/978-1-4612-3690-0_5. The main text of Knorr's article includes a description of Pandrosion's cube-doubling method; for the discussion of Jones' work on Pandrosion's gender, see footnote 2, p. 72.
2. ^ a b c
3. ^ a b c Bernard, Alain (2003), "Sophistic aspects of Pappus's Collection", Archive for History of Exact Sciences, 57 (2): 93–150, doi: 10.1007/s004070200056, MR  1961330, S2CID  121211783
4. ^ a b Watts, Edward J. (2017), "Pandrosion", Hypatia: The Life and Legend of an Ancient Philosopher, Oxford, England: Oxford University Press, pp. 94–97, ISBN  978-0190659141. Excerpted by the MacTutor History of Mathematics Archive.
5. ^ Pappus (1876), "Book 3.1", in Hultsch, Friedrich (ed.), Pappi Alexandrini Collectionis quae supersunt (in Greek and Latin), vol. I, Berlin.
6. ^ Netz, R. (2002), "Greek mathematicians: a group picture", in Tuplin, C. J.; Rihll, T. E. (eds.), Science and Mathematics in Ancient Greek Culture, Oxford University Press, pp. 196–216, doi: 10.1093/acprof:oso/9780198152484.003.0011, MR  2080682. See in particular p. 197.
7. ^ McLaughlin, Gráinne (2004), "The logistics of gender from classical philosophy", in Marshall, Eireann; McHardy, Fiona (eds.), Women's Influence on Classical Civilization, London: Routledge, pp. 1–19, doi: 10.4324/9780203209653, ISBN  9780203209653. Excerpted by the MacTutor History of Mathematics Archive.
8. ^ Sidoli, Nathan (March 2016), "Learned Man and Woman in Antiquity and the Middle Ages", in Lightman, Bernard (ed.), A Companion to the History of Science, John Wiley & Sons, Inc., pp. 23–38, doi: 10.1002/9781118620762.ch2. See in particular "Scholarly Women in the Ancient and Medieval Periods", pp. 35–36.