Size |
Height 305 mm, width 204 mm. |
Watermark |
Crossbow, form 2. Drake's identification: Watermark type 17. Drake's description: Large crossbow 57 X 36mm. Date of earliest letter with this watermark is February 1609. |
Comments |
Written by Galileo; contains text, drawings, table, calculations. Relation to the Discorsi: elaboration of 2/19-pr-06. |
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Folio 161 r (final text) |
1A
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Sit ab tempus per ab, et posita cd aequali eidem ab, quaeratur tempus per cd. Sit ae media inter ca, ab, et af media inter da, ab: et quia ab est tempus per ab, erit ae tempus per ac; et quia af est media inter da, ab, erit af tempus per totam ad: fuit autem ae tempus per ac: ergo ef est tempus per cd. |
1B
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sit ab 8 cd 8 bc 10 ac 18 ad 26 ae 12 af 14 1/2 ef 1 1/2 |
C01
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26 * 8 = 208 sqrt 208 = 14 12/29 |
C02
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26 * 18 = 208 + 26[0] = 468 sqrt 468 = 21 27/43 |
C03
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16 * 9 = 144 12 = 3 * 4 |
C04
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190_270 1260_2440 190 * 190 = 36100 270 * 270 = 32900 |
C05
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sqrt 1260 = 35 1/2 sqrt 2440 = 49 |
C06
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270 * 35 1/2 = 9450 + 135 = 9585 9585 : 191 = 50 |
C07
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9585 : 192 = 49 |
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