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By Wilbur Richard Knorr

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1. , 1. 5: faciat canonium parallelum epipedo orizontis. This selection of parallels is not intended to argue that 1. Can. derived from the same hand which translated the Optics. 'AAoc as sed, while in 1. Can. one finds eight appearances of verum to only one of sed). An especially puzzling discrepancy lies in the manner of designating proportions. The most common way in the Greek-based translations is sicut A ad B, ita G ad D (or ut ... ita . ), corresponding to the Greek we; A 7tpOC; B, ofhwe; r 7tpOe; D..

For Exc. (12) makes two claims: (a) in equally long beams similarly divided, the weights of the segments are in proportion; (b) in two beams [also of equal length and proportional weight], [segments of each] of equal weight are inversely proportional to their lengths. As the text is patently elliptical anyway, the need for the insertions I indicate is not a difficulty. The problem I perceive is that Exc. (12) appears to be a step toward the proof of Exc . (13), which begins unde et. But it is not clear how this interpretation, or even that proposed by Clagett, would serve this purpose .

This differs from Gerard's phrase" a perpendicular straight, equal of mass and substance" tperpendicularis recta equalis crossitudinis et substantie) which here happens to agree literally with what we have in the Arabic. u! or mabsia (both meaning " spread out" or "unrolled"). Such freedom 'in rendering the text seems more likely for an Arabic editor working in his own language than for a translator 10. Again, the Excerptum appends four theorems not held in the manuscripts of Thabit's work. It would seem that an Arabic editor would have greater access to other sources from which to draw and greater expertise in the technical materials than would a Latin editor of the 12th or 13th century.

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