Overview Level of Folio 54 v


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
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


Overview Level of Folio 54 v