Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



[HM] Planudes
Posted:
Mar 16, 2006 11:08 AM


Dear Mr. Brown and all,
There are several MSS. that contain some fragments of Great Calculation According to Indians (pse^phophoria kat'Indous he^ legomene^ megale^). Probably more important than others is Codex Ambrosianus Et 157 sup., v. below. As Tannery wrote, source of all such MSS., id est, "Planudea classis codices", is "codex deperditus seaculo XIV cuius exstant decem folia in Ambrosiano Et 157 sup." (cf. Tannery's Prolegomena in his edition of Diophantus: Diophanti Alexandrini opera omnia cum graecis commentariis, Lipsiae (in aedibus Teubneri), 1895, Prolegomena, pp. XXIII and XXVII, sq.). Curiosly enough, name of Maxime Planudes appears only three times in all MSS.; as Tannery says, "Nomen Planudis fragmento illi in tribus tantum codicibus praefigitur, Guelferbytano, Reginensi et manu posteriore Ambrosiano A 91 sup." (loc. cit. p. XXV, n. infra). Moreover, last mentioned Ambrosianus codex contains, according Tannery, 7 folios of the Calculation, namely, 6, 10, 12 bis, 11 bis, 12, 11, 4, no one of these is "frontpage" of the codex, but fol. 4 appears to be first page of the Calculation, although not in right order ("manifestum est in archetypo classis istius perturbato ordine partes Calculi Indici ante et post Diophantum exstitisse", ad loc. p.XXVII). Even in others MSS., with less amount of texts of the Calculation than Ambrosianus mentioned above, the first page, if exists, is not "frontpage" of whole codex.
Therefore, you probably want only first page of the Calculation rather than "frontpage" of whole Ms. that contain some fragments of the work. Certainly best copied first page of the Calculation is fol. 15 in Parisinus gr. 1928, source of which is famous Parisinus gr. 2379 (loc.cit. p. XXXII). In this case you are lucky. There is fine reproduced fol. 15 of the MS. as first page of the Calculation in:
Paul Tannery  Memoires scientifiques, publies par. J.L. Heiberg & H. G. Zeuthen, tome IV, planche 1.
The tome of Tannery's scientific works contain his own investigations in byzantine mathematics and probably there is something interesting for you (e.g. very useful article "Les schifres Arabes dans les manuscrits grecs", pp. 199205). As to me, Paul Tannery (18431903) is one of the greatest and even most ingenious historians of mathematics at the time. Most of his hypotheses has been pointed out and used by many scholars up to now.
Best regards from snowy Belgrade,
Konstantin R. StarcevicOlgin, K.S.B.



