Overview Level of Folio 76 v


SizeHeight 242 mm, width 176 mm.
WatermarkRadiant sun in 44mm circle (form 1) . Watermark not noticed by Drake.
CommentsThe 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
2Quia ut ab ad bn, ita ai ad in, erit, permutando, ut ba ad ai, ita bn ad ni.
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