Overview Level of Folio 169 v


SizeHeight 305 mm, width 200 mm.
WatermarkTwo watermarks. Crown, form 1. Thin crossbow. Drake's identification: Watermark type 6. Drake's description: Thin crossbow 40 X 30mm.
CommentsThe folio is part of a larger sheet of paper combining the folios 168 and 169 . Written by Galileo; contains text, drawings, calculations, tables. Relation to the Discorsi: elaboration of 2/12-th-12.
References Wisan 1974 197
Folio 169 v (final text)
1Fiat motus per abc et per duas abd, sitque ra media inter ca, ab, et ipsi dc parallela ducatur rs. Dico iam, tempus per abc ad tempus per abd esse ut linea ac ad ar cum sd. Si enim protrahatur db usque ad occursum cum af, orizonti dc parallela, erit fs media inter df, fb; et ut ca ad ar, ita tempus per ca ad tempus per ab; ita ut, si ponatur ac tempus per ac, erit ar tempus per ab, et rc tempus per bc; et similiter sd demonstrabitur esse tempus per bd post casum ex f, vel ex a: ex quo patet, tempus per totam ac ad tempus per duas abd esse ut ar cum rc ad ar cum sd.
C012_4_6_10_8
C024800 : 90 = 53 1/3
C037200 : 60 = 120
C04106
51
C0518 * 14 [= 252]
21 * 12 [= 252]
23 * 14 = 322
20 * 16 = 320
C06(34 * 90) : 50 1/2
34 * 90 = 3060
3060 : 50 1/2 = 6120 : 101
6120 : 101 = 60
3060 : 50 1/2 = 61
C0780 + 50 1/2 = ab cum sd 130 1/2
C08106 + 50 1/2 [= 156 1/2]
C0934 + 80 = ab cum rc 114
C10140 * 80 = 11200
sqrt 11200 = 106
C11210 * 120 = 25200
sqrt 25200 = 159
C12(114 * 156 1/2) : 130 1/2
114 * 156 1/2 = 684 + 5707 + 1145[0] = 17841
17841 : 130 1/2 = 35682 : 161
35682 : 262 = 13[6]
C13140
51
C14
21 * 12 [= 252]
18 * 14 [= 252]
24 * 28 = 672
22 * 31 [= 682]
C15ac 140
fd 210
ab 105
fb 169 1/2
C16tempus bc 34
bd 50 1/2
abd 156 1/2
C1751
cr 6
rb 4
ds 9
sb 6
ab 18


Overview Level of Folio 169 v