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 |
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| | 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 |
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