By Marshall Clagett
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Additional resources for Archimedes in the Middle Ages. III. The Fate of the Medieval Archimedes. Part iv
7 118 quare: que est b I ponderis dei. 0 2 120 tertiam propositionem dei. 0 2, tr. pu tertiam proportionem M Ed 3 1303 1304 ARCHIMEDES IN THE MIDDLE AGES 125 130 135 140 6. CORPORIS MERGIBILIS, UT FERRI, AD CORPUS IMMERGIBILE, UT CERAM, PROPORTIONEM IN MAGNITUDINE, ET PROPORTIONEM IN PONDERE SECUNDUM SPECIEM, IN VENIRE. Sit A corpus mergibile, B eius pondus in aere, C eius pondus in aqua, D differentia. Item, sit E corpus immergibile; et coniungantur A et E, ita quod A possit secum trahere E ad fundum.
Et sit B pars eius de genere A , et C pars eius de genere D. Et sit A gravius D, et sit E pondus corporis A , et H pondus corporis D, et FG pondus corporis BC, ita quod F partiale pondus sit corporis B partialis, et G partiale pondus corporis C partialis. Erit itaque E pondus maius FG pondere, et FG pondus maius H pondere. Sit et E pondus maius FG pondere per differentiam I, et FG maius pondus H pondere per differentiam K. Et sitL corpus equale B totiens sumpto quot unitates sunt in IK ; et sit M corpus equale C totiens sumpto quot unitates sunt in IK; quare erit L ad M tanquam B ad C.
Pondus om. I I C: E p Eddl -2 / eius2: cuius Eddl -2 126 Item abi, lac. M, om. E d d l-3 sunt Op et 0 2 / E: C p / coniungatur Ed3 / A: in A E ddl-2 127 E1: C Ed3 / secum trahere: se contrahere p / E2: C M I fundum: F dum I / FG abu F OpIM Eddl -3 et add. 0 2 G 128 coniunctim1·2 M I in aere bis a / HI: HL p E d d l-2 / et2 om. E d d l-2 / KL: BL p K Ed3 130 Remanebunt: igitur manebit p / et I: et B p et Z M et L u Z 4or E d d l-2 131 E: BEpM Eddl —2 / L: Op B Mu Eddl —2 / ergo: gEd3 / D et L: B et Dp / proportio om.