By Wilbur Richard Knorr

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LE"t'C1. LEVOV (d. notes 15, 16), aequiangulus for tcrOywvLOV. The following lines, with their Greek base, may be compared with lines from 1. pxouOI)C; (57, 7-8; d. 1. "t'' t'ovoc; ywvLae; O\)OI)e; (77, 11; d. 1. , 1. 20: nullo in terminis eius pondere existente); (c) linea facit angulum rectum 09, 1-2; here the translator doubtless follows an interpolation not in the extant Greek text. But one may compare the use of [acere with an earlier use at 37, 13: [aciet ergo sectionem circuli (! ov) - d.

In Exc. (7) the notion of uirtus (" force ") is presented in the image of walkers traversing certain distances in given times; the same example appears in the Latin 1. Kar. I but is missing from the Arabie. Further, in the Excerptum two properties are stated of the beam which has been rotated out of equilibrium position: (8) that its endpoints trace out similar arcs and (9) that these arcs are proportional to the diameters (or rays) which have generated them. Both results are stated in 1. Kar. II, but only the first appears in the Arabic.

Yet we have already seen that the proofs might be entirely different. The clumsy proof of VIII in the Arabic is to be set against the well framed version in the Latin, based on the lemma nicely proved in VII, a theorem missing from the Arabic altogether. We shall see below that the two versions of VI are likewise radically different from each other. the Arabic. Further, the Latin includes a preface and an epilogue, missing from the Arabic; while, in turn, the Arabic contains extended interpolated passages absent from the Latin.

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Ancient sources of the medieval tradition of mechanics: Greek, Arabic, and Latin studies of the balance by Wilbur Richard Knorr


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