Overview Level of Folio 110 v

 Size Height 298 mm, width 200 mm. Watermark Unicorn 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. Comments Written 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) 1 impetus 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. 2 impetus in d e[x] e ut 56938, in f ut 44, in h ut 63 C01 3420 = 1710 + 1710 1710 * 1710 = 17100 + 1197[000] + 171[0000] = 2924100 25000000 - 2924100 = 22075890 sqrt 22075890 = 4698 C02 3746 = 1873 + 1873 1873 * 1873 = 5619 + 13111[0] + 14984[00] + 1873[000] = 3508129 25[000000] - 3508129 = 21491871 sqrt 2149187 = 4625 sqrt 2149187 = 4636 C03 25 * 6 = 150 C04 sqrt 200000 = 140 C05 75 * 75 = 5625 sqrt 5625 = 7[5] sqrt 15625 = 125 125 * 200 = 25000 25000 : 142 = 176 C06 125 * 125 = 625 + 250[0] + 125[00] = 25625 sqrt 25625 = 160 200 * 160 = 32000 32000 : 142 = 2[25] C07 3090 = 1545 + 1545 1545 * 1545 = 7725 + 6180[0] + 7725[00] + 1545[000] = 2387025 25[000000] - 2387025 = [25000000 - 2387025 = 22612975] sqrt 22612975 = 4755 C08 2756 = 1378 + 1378 1378 * 1378 = 11024 + 9646[0] + 3984[00] + 1378[000] = 1883884 25[000000] - 1883884 = 23116116 sqrt 23116116 = 4808 C09 2419 = 1209 + 1210 1209 * 1210 = 12090 + 2418[00] + 1209[000] = 1462890 25000000 - 1462890 = 23537110 sqrt 23527110 = 4851 C10 56 * 18 48 C11 1391 = 695 + 696 695 * 696 = 4170 + 6255[0] + 4170[00] = 483720 25000000 - 483720 = 24516280 sqrt 24516280 = 4951 C12 111 * 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 C14 2756 = 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 C16 2079 = 1039 + 1040 1039 * 1040 = 41560 + 1039[000] = 1080560 25[000000] - 1080560 = 23919340 sqrt 23919439 = 4899 C17 1736 = 868 + 868 868 * 868 = 6944 + 65208[0] + 944[00] = 753424 25000000 - 753424 = 24246576 sqrt 24246576 = 4924 sqrt 24246576 = 492[4] C18 sqrt 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 C20 sqrt 23919340 = 489[0]

 Overview Level of Folio 110 v