Overview Level of Folio 083 v

 Size Height 274 mm, width 204 mm. Watermark Siren. Drake's identification: Watermark type 25. Drake's description: Siren in 39mm circle, crown above. Watermark found in 1632. Comments Written 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) 1 Parabola 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. 2 Attende numquid tempus et impetus per ab cum parabola bd est idem cum tempore et impetu per inclinatam ad. 3 sit ab 80 bc 60 4 ...?... af ... m?... ... ele[vatio] ... Es?... ... C01 sqrt 1700 = 41 C02 sqrt 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 C11 90 * 90 = 8100 C12 80 * 100 = 8000 sqrt 8000 = 88 256/176 sqrt 8000 = 89 79/178 C13 79 - 64 = 15 79 : 8 = 8 C14 sqrt 700 = 26 C15 4 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 C18 60 * 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 C24 sqrt 1700 = 41 19/82 C25 141 * 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 C28 60 * 80 = 4800 sqrt 4800 = 69 C29 113 1/2 * 81 = 113 + 9040 + 4[0] = 9193 sqrt 9193 = 96 C30 113 : 3 = 38

 Overview Level of Folio 083 v