Overview Level of Folio 169 v

 Size Height 305 mm, width 200 mm. Watermark Two watermarks. Crown, form 1. Thin crossbow. Drake's identification: Watermark type 6. Drake's description: Thin crossbow 40 X 30mm. Comments The folio is part of a larger sheet of paper combining the folios 168 and 169 . Written by Galileo; contains text, drawings, calculations, tables. Relation to the Discorsi: elaboration of 2/12-th-12. References Wisan 1974 197
 Folio 169 v (final text) 1 Fiat motus per abc et per duas abd, sitque ra media inter ca, ab, et ipsi dc parallela ducatur rs. Dico iam, tempus per abc ad tempus per abd esse ut linea ac ad ar cum sd. Si enim protrahatur db usque ad occursum cum af, orizonti dc parallela, erit fs media inter df, fb; et ut ca ad ar, ita tempus per ca ad tempus per ab; ita ut, si ponatur ac tempus per ac, erit ar tempus per ab, et rc tempus per bc; et similiter sd demonstrabitur esse tempus per bd post casum ex f, vel ex a: ex quo patet, tempus per totam ac ad tempus per duas abd esse ut ar cum rc ad ar cum sd. C01 2_4_6_10_8 C02 4800 : 90 = 53 1/3 C03 7200 : 60 = 120 C04 106 51 C05 18 * 14 [= 252] 21 * 12 [= 252] 23 * 14 = 322 20 * 16 = 320 C06 (34 * 90) : 50 1/2 34 * 90 = 3060 3060 : 50 1/2 = 6120 : 101 6120 : 101 = 60 3060 : 50 1/2 = 61 C07 80 + 50 1/2 = ab cum sd 130 1/2 C08 106 + 50 1/2 [= 156 1/2] C09 34 + 80 = ab cum rc 114 C10 140 * 80 = 11200 sqrt 11200 = 106 C11 210 * 120 = 25200 sqrt 25200 = 159 C12 (114 * 156 1/2) : 130 1/2 114 * 156 1/2 = 684 + 5707 + 1145[0] = 17841 17841 : 130 1/2 = 35682 : 161 35682 : 262 = 13[6] C13 140 51 C14 21 * 12 [= 252] 18 * 14 [= 252] 24 * 28 = 672 22 * 31 [= 682] C15 ac 140 fd 210 ab 105 fb 169 1/2 C16 tempus bc 34 bd 50 1/2 abd 156 1/2 C17 51 cr 6 rb 4 ds 9 sb 6 ab 18

 Overview Level of Folio 169 v