Overview Level of Folio 76 v

 Size Height 242 mm, width 176 mm. Watermark Radiant sun in 44mm circle (form 1) . Watermark not noticed by Drake. Comments The folio is part of a larger sheet of paper combining the folios 76 and 77 . Written by Galileo; contains tables, short texts, drawings, calculations. Relation to the Discorsi: work on 2/34-pr-13. References Drake 1978 497
Folio 76 v (final text)
1Quod erit si [rectangulum] abi sit aequale [rectangul]o cal, id autem erit si [rectangulum] acl cum [quadrat]o cb sint aequalia [rectangul]o bai; si [rectangulum] abi sit aequale [rectangul]o nai
3Quaeritur z, ex quo tempora zab, ab sint aequalia.
4AModo videndum numquid tempus per oab sit brevissimum, et primo qu[a]erere quantum sit posita oa 703 1/8.
4BPonamus modo esse oa 680, erit ax
C01(57 1/7 * 57 1/7) : 60
57 1/7 * 57 1/7 = 3249 + 16 = 3265
3265 : 60 = 54
C02(40 * 60) : 140
40 * 60 = 2400
2400 : 140 = 17 1/7
60 - 17 1/7 = 42 6/7
100 - 42 6/7 = 57 1/7
C031/2 + 1/3
1 * 3 = 3
1 * 2 = 2
3 + 2 = 5
C04(40 * [100]) : 140
40 * [100] = 4000
4000 : 140 = 28 4/7
27 1/6
C05(100 * 27 1/6) : 60
100 * 27 1/6 = 2700 + 16 2/3 = 2716 2/3
C06
 ab 100 ac 60 an ao 27 1/6 bn 40 ax 45 5/18 xb 145 5/18
C07oa 680 erit ax
ax 1700
mediam xba 1643 1/6
mediam xab 1303 1/6
tempus per ab 339 1/3
tempus per ao 521 1/2
329 1/3 + 521 1/2 = 860 5/6
C08
 ab 100 ac 60 an nb 40 lc 17 1/7 al 42 6/7 ai bi 57 1/7 ax 54 1/3
C0924_12
32_8
(16 * 10) : 12
C10bn 12
ni 8
ac 16
ba 24
ai 12
bn 8
ni 4
C11
 ab 1000 ac 400 an nb 600 lc 150 la 250 ac bi 750 az 1406 1/4 ao 703 1/8
 ab 1000 ac 400 ax 1757 13/16 mediam xbal 660 2/3 mediam xbal 325 5/6 tempus per ab 334 5/6 tempus per ao 530 1/3 tempus per totam 865 1/6

 Overview Level of Folio 76 v