By Jacques Sesiano
This variation of Books IV to VII of Diophantus' Arithmetica, that are extant in basic terms in a lately came across Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown collage division of the historical past of arithmetic in may perhaps 1975. Early in 1973, my thesis adviser, Gerald Toomer, realized of the life of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts within the Mashhad Shrine Library, and secured a photographic replica of it. In Sep tember 1973, he proposed that the research of it's the topic of my dissertation. on account that barriers of time pressured us to settle on priorities, the 1st goal used to be to set up a severe textual content and to translate it. as a result, the Arabic textual content and the English translation look right here almost as they did in my thesis. significant adjustments, besides the fact that, are present in the mathematical com mentary and, much more so, within the Arabic index. The dialogue of Greek and Arabic interpolations is fullyyt new, as is the reconstruction of the heritage of the Arithmetica from Diophantine to Arabic instances. it really is with the inner most gratitude that I recognize my nice debt to Gerald Toomer for his consistent encouragement and necessary assistance.
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Additional info for Books IV to VII of Diophantus’ Arithmetica : in the Arabic Translation Attributed to Qustā ibn Lūqā
Additions by Earlier Readers (or Copyists) Two kinds of minor additions are incorporated in the manuscript's text: those originating from earlier readers' explanations or corrections, which were originally marginal or supralineal, and those reSUlting from a scribe's mechanical repetition (dittography). Those of the second class have been relegated to the critical apparatus. We shall treat here the more interesting additions of the first sort, which additions we have divided into two groups: (I) 15 Those which complete or clarify the text in some way, or which, simply, do not render its comprehension difficult; these have been left in the text, for the most part bracketed.
Perhaps, also, the reading final ]a instead of ]a + alif (thus alJ for alJan throughout the text, particularly towards the end, and once alJfor alJa (note 550». 3°. (IX) It is evident that the progenitor was not systematically provided with diacritical points from such confusions as those made between the radicals sb c and ts (~and i: note 529; 7 and 9: notes 228, 232, 303, 313, 374, 376, 662, 735, 871, 907; 70 and 90: notes 230, 249, 305, 570). Other characteristic examples are found in notes 164 and 215, 208 and 433, 212, 498,521 and 522.
Manuscript, page 130. 28 Part One Introduction notes 330; 124, 770 of the critical apparatus), while the first hand writes Slna instead of Si'na. , Simon, Anatomie des Galen, I, p. xxi). For all these cases, we have standardized the spelling by adopting the classical orthography. 13 2. Particular Endings The following uses, though not peculiar to our manuscript (see Graf, Sprachgebrauch, pp. 8-9), are worthy of note: an alif otiosum (alif al-wiqaya h) which is appended to the form yatlii (note 3); (b) the ending -i takes the place of the ending _in, in two places, once by each hand (notes 15, 771); otherwise the spelling is correct; (c) again exceptional is the writing of an alif where an ought to be used, which occurs twice in the second handwriting (notes 172, 579).
Books IV to VII of Diophantus’ Arithmetica : in the Arabic Translation Attributed to Qustā ibn Lūqā by Jacques Sesiano