Overview Level of Folio 083 v


SizeHeight 274 mm, width 204 mm.
WatermarkSiren. Drake's identification: Watermark type 25. Drake's description: Siren in 39mm circle, crown above. Watermark found in 1632.
CommentsWritten by Galileo; contains drawing, calculations, short texts. Relation to the Discorsi: work on 3/10-th-07; work on theorem of equivalence; elaboration of 3/04-pr-01.
References Wisan 1974 271-272; Caverni 1972 543-545; Damerow et al. 1992 225; Renn 1990 82, 100; Renn 1988 205-209, 217, 226
Folio 83 v (final text)
1Parabola bd describitur ab elevatione ab cum altitudine bc. Ponatur, ab esse tempus et impetum casus ab, sitque de tangens parabolam: erit eb aequalis bc: cumque bf sit subdupla amplitudinis cd, erit quoque media inter sublimitatem ab et altitudinem bc, eritque tempus casus et impetus per bc in c. Iuncta igitur af, erit mensura impetus in d cadentis per abd.
2Attende numquid tempus et impetus per ab cum parabola bd est idem cum tempore et impetu per inclinatam ad.
3sit ab 80 bc 60
4...?... af ...
m?... ...
ele[vatio] ...
Es?... ...
C01sqrt 1700 = 41
C02sqrt 179 = 13
C03[178 + 2 = 180]
178 * 2 = 356
sqrt 356 = 18
C04[175 + 5 = 180]
175 * 5 = 875
sqrt 875 = 29
C05[172 + 8 = 180]
172 * 8 = 1376
sqrt 1376 = 37
C06[177 + 3 = 180]
177 * 3 = 531
sqrt 531 = 23
C07[174 + 6 = 180]
174 * 6 = 1044
sqrt 1044 = 32
C08[176 + 4 = 180]
176 * 4 = 704
sqrt 704 = 26
C09[173 + 7 = 180]
173 * 7 = 1211
sqrt 1211 = 34
C10[171 + 9 = 180]
171 * 9 = 1539
sqrt 1539 = 39
C1190 * 90 = 8100
C1280 * 100 = 8000
sqrt 8000 = 88 256/176
sqrt 8000 = 89 79/178
C1379 - 64 = 15
79 : 8 = 8
C14sqrt 700 = 26
C154 1/2 * 4 1/2 = 16 + 4 = 20
sqrt 20 = 4
C16[110 + 70 = 180]
110 * 70 = 7700
sqrt 7700 = 87 131/174
C17[120 + 60 = 180]
120 * 60 = 7200
sqrt 7200 = 84 144/168
C1860 * 80 = 4800
sqrt 4800 = 69
69 2/3
C19
C20[140 + 40 = 180]
140 * 40 = 5600
sqrt 5600 = 74 124/148
C21[130 + 50 = 180]
130 * 50 = 6500 100/160
C22[150 + 30 = 180]
150 * 30 = 4500
sqrt 4500 = 67
C23[160 + 20 = 180]
160 * 20 = 3200
sqrt 3200 = 56 64/112
C24sqrt 1700 = 41 19/82
C25141 * 80 = 11280
sqrt 11280 = 107
C26(210 * 35) : 105
210 * 35 = 105[0] + 63[00] = 7350
7350 : 105 = 70
C27(161 * 70) : 80
161 * 70 = 11270
11270 : 80 = 140
C2860 * 80 = 4800
sqrt 4800 = 69
C29
113 1/2 * 81 = 113 + 9040 + 4[0] = 9193
sqrt 9193 = 96
C30113 : 3 = 38


Overview Level of Folio 083 v