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By Barrie Pitt (Editor)

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By Barrie Pitt (Editor)

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BS Hu, Tr 10 GZ A corr. Co, Hu, Tr 2 Part Ia Greek Text 27 to; uJpo; tw`n AGZ a[ra i[son ejsti;n tw`/ ajpo; th`~ GQ: i[sh a[ra ejsti;n hJ uJpo; tw`n ZQG gwniva th`/ uJpo; tw`n QAH gwniva/. pavlin ejpei; to; uJpo; tw`n GAE i[son ejsti;n tw`/ ajpo; th`~ AB, kai; to; di;~ a[ra uJpo; tw`n GAE, toutevstin to; uJpo; tw`n GAH, i[son ejsti;n tw`/1 di;~ ajpo; th`~ AB, toutevstin tw`/ ajpo; th`~ AQ: i[sh a[ra ejsti;n hJ uJpo; tw`n AQH gwniva th`/ uJpo; tw`n QGZ gwniva2/ . e[stin de; kai; hJ uJpo; tw`n QAH i[sh th`/ uJpo; tw`n ZQG: loiph; a[ra hJ uJpo; tw`n AHQ loiph`/ th`/ uJpo; tw`n QZG ejsti;n i[sh: kai; hJ HQ a[ra th`/ QZ ejsti;n i[sh3.

The additions are put in angular brackets (<>), so that the reader can get an idea of Pappus’ own way of expressing mathematical thoughts. For the structuring of the text, I have used Hultsch’s separation into propositions (right margin and header in Hu, in the Latin translation), because separation into units of mathematical content facilitates understanding. The 1 Among the recentiores, it is mostly the manuscripts B and S that contain helpful alternative readings throughout Coll. IV. Compare the apparatus in Hu and Tr.

28 (see following sections). In the present study, I have restricted myself to just pointing out the use of “analuesthai,” and drawing the obvious inference that what we get in Prop. 28 is a geometrical analysis of the genesis, not a (failed) solution of the quadrature. My documentation of such “salient Greek terms” is not exhaustive. Remarks on the Diagrams In A, the figures for individual propositions appear at the end of each argument, as inserts in indented spaces – alongside the beginning of the following proposition.

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