Overview Level of Folio 78 v


Size Height 282 mm, width 195 mm.
Comments Written by Galileo; contains drawings, short texts, calculations, scratch. Relation to the Discorsi: related to 2/29-th-18; work on 2/37-pr-15.
References Wisan 1974 241
Folio 78 v (final text)
1 Invenienda est in ac pars aequalis ipsi ab, quae conficiatur eodem tempore quo ipsa ab.
2A ab longa 4; bc 8 tempus per ab 4; ergo abc longitudo 12 conficitur in tempore 8.
2B Sit db 9; erit eius tempus 6, et ex d conficietur db 9 cum bce 18 tempore 12, nempe 27 in tempore 12. Sed si be conficitur (cum sit 18) tempore 6, bc conficietur tempore 2 2/3, et tota dbc in tempore 8 2/3: conficiuntur ergo citius abc quam dbc.
2C Sit bd 8; conficietur tempore radicis 32, idest 5 1/2, et erit be 16, et dbc conficietur tempore 8 1/4.
3 ...?... Galileo Galilei
mio ...?...
C01 16 * 3 = 48
48 * 3 = 144
C02 97
64 * 4 = 256
C03 144 : 3 = 48
36 * 36 = 1296
16 * 16 = 256
1296 : 256
C04 8 + 4 = 12
C05 (6 * 8) : 18
6 * 8 = 48
48 : 18 = 2 2/3
C06 32 : 5 = 5 7/10
C07 9 * 4 = 36
C08 123 * 123 = 369 + 246[0]123[00] = 15129
sqrt 15129 = 12[3]
C09 104 * 104 = 416 + 104[00] = 10816
C10 sqrt 10800 = 10[3]
C11 (5 1/2 * 8) : 16
5 1/2 * 8 = 44
44 : 16 = 2 3/4
C12 2 1/4 + 5 1/2 = 7 3/4
2 3/4
5 2/[?]
C13 5 7/10 * 5 7/10 = 57/10 * 57/10
57 * 57 = 399 + 285[0] = 3249
3249 : 10 = 32 49/10
C14 3000 * 60 = 180000
C15 8 + 2 = 10
8 + 4 = 12


Overview Level of Folio 78 v