Overview Level of Folio 77 r


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 text, drawings, calculations, table. Relation to the Discorsi: work on 2/34-pr-13.
References Drake 1978 497
Folio 77 r (final text)
1A Quia bi est media cax, si ponatur ca tempus per ac, erit bi tempus per xa, et tempus per ra erit illud ad quod tempus bi sit ut xa ad ar, seu ca ad ab. Vide igitur num ut ca ad ab, ita sit bi ad ia, seu ut ca ad bi, ita sit ba ad ai, seu ut an ad bi, ita ba ad ai, seu ut na ad ab, ita bi ad ia, seu ut ba ad an, ita sit ai ad ib, seu ut ha ad ac, ita sit la ad ib; quod erit si [rectangulum] abi sit aequale [rectangul]o cal
1B seu si [rectangulum] aib cum [quadrat]o ib, sit [a]equale [rectangulo] nia cum [quadrat]o ia
1C seu si (dempto communi [rectangul]o nia), [rectangulum] bnia cum [quadrat]o bi sit equale [quadrat]o ia;
1D [rectangul]o cla cum [quadrat]o la, seu si [rectangulum] aib cum [rectangul]o cax, sit [a]equale [rectangul]o cld cum [quadrat]o la
C01 2716 2/3 : 60 = 8150 : 180
8150 : 180 = 45
C02 100 : 18 = 5
10/18 = 5/9
C03 145 5/18 * 100 = 145000 + 25 + 2 7/9 = 14527 7/9
sqrt 14527 7/9 = 120 128/240
C04 (100 * 25) : 60
100 * 25 = 2500
2500 : 60 = 41
C05 27 1/6 * 60 = 1620 + 10 = 1630
sqrt 1630 = 40 30/80
C06 41 2/3 + 100 [= 141 2/3]
C07 141 2/3 * 100 = 14100 + 67 = 14167
sqrt 14167 = 119 6/138
C08 45 5/18 * 100 = 4500 + 28 = 4528
sqrt 4528 = 67 39/134
67 * 67 = 4489
[4528 - 4489 =] 39
C09 4100 + 67 = 4167
sqrt 4167 = 64 71/128
64 * 64 = 4096
[4167 - 4096 =] 71
13 * = 78
3_2_9
C10 60 * 25 = 1500
sqrt 1500 = 38 56/76
38 * 38 = 1444
[1500 - 1444 =] 56
1444 : 17
C11 3/4 + 3/7
3 * 7 = 21
3 * 3 = 12
21 + 12 = 33
4 * 7 = 28
+ 4
9 1/2 + 6
C12 mediam xba 120 1/2
mediam rab 67 1/4
tempus per ab 53 1/4
tempus per ao 40 3/8
tempus per totam 93 5/8
53 1/4 + 40 3/8 = 93 5/8
C13 oa 25
ax 41 2/3
mediam xba 119 6/138
mediam rab 64 4/7
tempus per ab 54 3/7
tempus per ao 38 3/4
tempus per totam 93 1/4
54 377 + 38 3/4 = 93 1/4
C14
ab 10 80
bc 8
ad 12 72
dc 6
ab 11 99
bc 9
ad 14 84
dc 6


Overview Level of Folio 77 r