Read e-book online Archimedes in the Middle Ages. III. The Fate of the Medieval PDF

By Marshall Clagett

ISBN-10: 0871691256

ISBN-13: 9780871691255

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Example text

Eddl -2 / fuerit I Eddl -2 / pondera a om. ObpuIM Ed3 tria E ddl-2 / gravitate p gravitas bl 91 eorum p / ante liquorum scr. et dei. p liquor / liquor M Ed3 91-92 in specie om. E ddl-2 93 cuius: eius E ddl-2 94 D: B M / post itaque add. mg. p 0 2 A et E ddl-2 D 95 petitionem: portionem E ddl-2 / E: C E ddl-2 96 quod b 0 2 quam aOplMu E ddl-3 habet: habet A p E ddl-2 / quod2: quam M Eddl -3 / quod3 b 0 2 quam aOplMu Ed3 quoniam Eddl -2 97 Erit u / E: C Ed3 / differentia b 98 ponderis E ddl-2 pondera in ras.

SI DUORUM QUORUMCUMQUE CORPORUM, UT AURI ET ARGENTI, PONDERA IN AQUA ET IN AERE FUERINT DATA, EORUNDEM CORPORUM PROPORTIONES IN MAGNITUDINE ET SPECIE ERUNT DATE. Sint illa duo corpora A, E; et sit pondus corporis A in aere, C, et in no aqua, E. Et differentia ponderis E ad pondus C sit G. Et sit pondus corporis B in aere, D; et in aqua, E; et differentia ponderis E ad D sit H. Et sit I corpus de genere A equale corpori B et sit pondus eius in aere K . Dico ergo quod A ad B, vel ad / , equalis est proportio que G ad H — per primam propositionem.

132 portio E ddl-2 132 ad: et in ras. 0 2 / E: R id est secundum Ed3 D E d d l-2 / tertiam: secundam in ras. 0 2 132-35 Et . . propositionem om. u 133 A: Q p / N: K p M E ddl-3 134 E: de / / A ad2correxi ex A apIM Eddl -3 et ad b 0 2/ proportio est: proportione Ed3 134-35 tanquam. . est om. Eddl -2 135 per tertiam propositionem dei. 0 2 et mg. scr. et est A ad M tanquam B ad N per quartam petitionem et est itaque D ad L / B: L O 136 N: K M E ddl-2, et corr. ) w/ eorum pondera tr. I ! sint: sunt Eddl -2 / scita, scita: scita E d d l-2 / scita est proportio bis p / scita est: scita et et iterum in mg.

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Archimedes in the Middle Ages. III. The Fate of the Medieval Archimedes. Part iv by Marshall Clagett


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