Overview Level of Folio 69 v


SizeHeight 285 mm, width 204 mm.
WatermarkHills with latin cross on top encircled, crown above. Drake's identification: Watermark type 24. Drake's description: Greek cross in oval 40 X 45mm. Watermark found in 1630-32. Found in manuscripts 1631 (treatise on river flooding).
CommentsWritten by Galileo; contains calculations, tables, short texts, drawing.
Folio 69 v (final text)
1ac 9
ab 6
ae 3 3/8
ar 5 1/16
ce 5 5/8
xa 3 3/8
2Fiat ut baca ad ac, ita ca ad ae, erit dividendo ut bac ad ac, ita ce ad ea; fiat modo ut ba ad ac, ita ea ad ar, et quia ut bac ad ac, ce ad ea, ut autem ac ad ab, ita ra ad ae
3Abac ad ac, ab
ce ad ea, ra, ax
3B
4Aab 100
ac 20
ao 44 4/9
ax 222 1/5
xb 322 1/5
m[edia] xba 179 1/2
m[edia] xab 149 1/12
4Btempus per ab 30 5/12
tempus per ao 30
totum tempus 60 1/3
5sit modo ai 40
az 200
media zba 173 1/5
media zab 141 1/2
tempus per ab 31 7/10
tempus per ia 28 4/7
1
totum tempus 60 3/7
616
C01(6 * 9) : 16
(9 * 9) : 24
(9 * 5 5/8) : 15
([9 *] 3 5/8) : [15]
C02(9 * 9) : 24
9 * 9 = 81
81 : 24 = 3 3/8
C03(9 * 3 3/8) : 6
9 * 3 3/8 = 9/1 * 27/8 = 243/8
243/8 : 6/1
6 * 8 = 48
243 : 48 = 5 1/16
C04(6 * 5 1/16) : 9
6/1 * 81/16
6 * 81 = 486
486 : 144 = 3 [3/8]
C058000 : 180 = 44
C06(100 * 44 4/9) : 20
100 * 44 4/9 = 4400 + 44 = 4444
4444 : 20 = 222 1/5
(222 1/5 * 40) : 44 4/9
222 1/5 * 40 = 8880 + 8 = 8888 [8888 : 44 4/9]
8888 * 9 = 79992
79992 : 400 = 199 [98/100]
C07322 1/5 * 100 = 32220
sqrt 32220 = 179 179/348?
44 4/9 * 20 = 889
sqrt 889 = 29
C08179 1/2 * 179 1/2 = 1611 + 12539 + 1797[0] + 1[00] = 32220
C09222 1/5
sqrt 22220 = 149 19/298
149 1/15 * 149 = 1341 + 5968 + 149[00] = 21609
149 1/2 * 149 1/2 = 1341 + 5966 + 1494[0] = 22249
149 : 5 = 2[9]
149 : 8 = 18
149 1/5 * 149 1/50 = 1341 + 5966 + 1496[0] = [222]37
C10sqrt 20000 = 141 119/282
141 1/2 * 141 1/2 = 141 + 564[0] + 14141 + 1[00] = 20022
C11sqrt (300 * 200)
sqrt 60000 = 244
30000
sqrt 30000 = 173 71/346
C1240 * 20 = 800
sqrt 800 = 28 4/7
C134/7 + 7/10
4 * 10 = 40
7 * 7 = 49
49 + 40 = 89
89/70 = 1 29/70

1/3 - 1/2
1 * 3 = 3
1 * 2 = 2
3 - 2 = 1
1/6
1/2 - 6/5
6 * 2 = 12
1 * 5 = 5
12 - 5 = 7
7/10


Overview Level of Folio 69 v