 | Size | Height 311 mm, width 215 mm. | | Comments | Written by Galileo; contains texts, drawings, calculations, table. Relation to the Discorsi: elaboration of 2/35-pr-14. | | References | Wisan 1974 250 |
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| | | Folio 54 v (final text) | | 1 | [quadratum] bg aequatur [quadrat]is bf, fg et 2 [rectanguli] bfg: pro [quadrat]o bf sume [rectangulum] hfg; erit [quadratum] bg aequale [duo]bus [rectangulis] bfg, [quadrat]o fg et [rectangul]o hfg, idest [rectangulum] hgf cum [quadrat]o fg: id autem idem est ac si dicas [quadratum] bg esse aequale 2 [rectangula] bfg, 2 [rectangula] egf et 2 [quadrata] fg. Ex [quadrat]o bg deme 2 [rectangula] bfg et 1 [quadratum] gf; remanet [quadratum] bf aequale 2 [rectangulis] egf minus 1 [quadratum] gf, quod est [rectangulum] hfg aequale [quadrat]o bf. | | 2A | ab 36, bc 24, bd 16. | | 2B | ad 20, ds 18. | | 3 | ad 20 | | 4A | ab ad bc ut cb ad bd; | | 4B | ad ad ds ut sd ad db. | | C01 | ad 20 * 16 = 320
sqrt 320 = 18 | | C02 | 25 * 28
[2]6 * 28 = 729
729 + 55 = 784
784 : 108 = 7
80 + 28 = 108 | | C03 | (20 * 20) : 107
20 * 20 = 400
400 : 107
400 : 87 | | C04 | 25 * 25 = 625
62 + 25 = 87
625 : 87 = 7 |
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