Overview Level of Folio 110 v


SizeHeight 298 mm, width 200 mm.
WatermarkUnicorn with 4 legs, little circle on top of the forehead. Drake's identification: Watermark type 13. Drake's description: Rhinoceros 75mm (smaller on letter cited?). Date of earliest letter with this watermark is August 1607.
CommentsWritten by Galileo; contains short texts, calculations. Relation to the Discorsi: work on 3/10-th-07; work on projectile impetus; related to 3/13-pr-06.
References Wisan 1974 271-272; Damerow et al. 1992 216, 221-223; Wohlwill 1899 621; Renn 1990 103; Drake 1979 XXXVI
Folio 110 v (final text)
1impetus in b ex a sit 100. Sitque bc ipsi ba aequalis: erit impetus in d per abd 142 proxime, et distantia cd 200. Impetus in f erit 125, distantia vero fi 150: deberet autem esse 176 fere, ut servaretur ratio impetus in d ad suam distantiam dc. Impetus in h fere 160, distantia eius hk 250.
2impetus in d e[x] e ut 56938, in f ut 44, in h ut 63
C013420 = 1710 + 1710
1710 * 1710 = 17100 + 1197[000] + 171[0000] = 2924100
25000000 - 2924100 = 22075890
sqrt 22075890 = 4698
C023746 = 1873 + 1873
1873 * 1873 = 5619 + 13111[0] + 14984[00] + 1873[000] = 3508129
25[000000] - 3508129 = 21491871
sqrt 2149187 = 4625
sqrt 2149187 = 4636
C0325 * 6 = 150
C04sqrt 200000 = 140
C0575 * 75 = 5625
sqrt 5625 = 7[5]
sqrt 15625 = 125
125 * 200 = 25000
25000 : 142 = 176
C06125 * 125 = 625 + 250[0] + 125[00] = 25625
sqrt 25625 = 160
200 * 160 = 32000
32000 : 142 = 2[25]
C073090 = 1545 + 1545
1545 * 1545 = 7725 + 6180[0] + 7725[00] + 1545[000] = 2387025
25[000000] - 2387025 =

[25000000 - 2387025 = 22612975]
sqrt 22612975 = 4755
C082756 = 1378 + 1378
1378 * 1378 = 11024 + 9646[0] + 3984[00] + 1378[000] = 1883884
25[000000] - 1883884 = 23116116
sqrt 23116116 = 4808
C092419 = 1209 + 1210
1209 * 1210 = 12090 + 2418[00] + 1209[000] = 1462890
25000000 - 1462890 = 23537110
sqrt 23527110 = 4851
C1056 * 18
48
C111391 = 695 + 696
695 * 696 = 4170 + 6255[0] + 4170[00] = 483720
25000000 - 483720 = 24516280
sqrt 24516280 = 4951
C12111 * 77 = 777 + 777[0] = 8547
sqrt 8547 = 92 1/2
C13(77 * 307) : 53
307 * 77 = 2149 + 2149[0] = 23739
23739 : 53 = 448
448 * 448 = 3584 + 1792[0] + 1792[00] = 200704
sqrt 200704 = 621
C142756 = 1378 + 1378
1378 * 1378 = 11024 + 9646[0] + 4134[00] + 1378[000] = 1898884
25[000000] - 1898884 = 23101116
sqrt 23091116 = 4877
sqrt 23091116 = 4806
C15(526 * 77) : 448
526 * 77 = 3682 + 3682[0] = 40502
40502 : 448 = 90 2/5
C162079 = 1039 + 1040
1039 * 1040 = 41560 + 1039[000] = 1080560
25[000000] - 1080560 = 23919340
sqrt 23919439 = 4899
C171736 = 868 + 868
868 * 868 = 6944 + 65208[0] + 944[00] = 753424
25000000 - 753424 = 24246576
sqrt 24246576 = 4924
sqrt 24246576 = 492[4]
C18sqrt 23919340 = 4890
C19(448 + 77 + 1 [= 526]) * 641
448 * 641
641 * 526 = 3846 + 1282[0] + 3205[00] = 336766
336166 : 77 = 4[365]

641 * 448 = 5128 + 2564[0] + 2564[00] = 277168
sqrt 277168 = 526
C20sqrt 23919340 = 489[0]


Overview Level of Folio 110 v