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
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[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
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ab 36, bc 24, bd 16. |
2B
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ad 20, ds 18. |
3
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ad 20 |
4A
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ab ad bc ut cb ad bd; |
4B
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ad ad ds ut sd ad db. |
C01
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ad 20 * 16 = 320 sqrt 320 = 18 |
C02
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25 * 28 [2]6 * 28 = 729 729 + 55 = 784 784 : 108 = 7 80 + 28 = 108 |
C03
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(20 * 20) : 107 20 * 20 = 400 400 : 107 400 : 87 |
C04
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25 * 25 = 625 62 + 25 = 87 625 : 87 = 7 |
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