Size |
Height 307 mm, width 205 mm. |
Watermark |
Balls connected with a triangle. Drake's identification: Watermark type C10. Drake's description: Monogram with trefoil, 25 X 36mm. Date of earliest letter with this watermark is November 1605. |
Comments |
Written by Galileo; contains drawing, short texts, table. |
References |
Drake 1978 88, 113, 503-504; Drake 1990 104; Drake 1987 42, 44; Naylor 1976b 413 |
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Folio 166 r (final text) |
1A
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Cum semidiameter sit 100000, quadrantis circumferentia est 157143 157042; seu si semidiameter sit 1000, circumferentia quadrantis plus 1570 minus 1571. |
1B
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si [quadratum] sit 1000000, [quadrans] erit 785250. |
1C
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Tempus quo conficieretur circumferentia quadrantis, si esset recta et ad perpendiculum, 125331. |
1D
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Tempus per ac ad tempus per 2 aec est ut 1000 ad 937 1/2 fere; tempus per ec ad tempus per 2 egc ut 1000 ad 866 3/5; tempus per 8c ad [du]as suas ut 1000 ad 733 2/3. |
2
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ad longa puncta 180; sit tempus casus per ipsam m[inutum] 180, et per ambas adc m[inutum] 270. ac --- 254 3/5 --- m[inuti] 254 3/5 ae --- 138 --- tempus casus per illam m[inutum] 164 ec --- 138 --- tempus casus per eam post ac m[inutum] 75 et per ambas aec m[inutum] 239 af recta --- 70 1/2 tempus --- 113 1/2 fe --- 70 1/2 tempus casus post af --- 48 et per ambas afe m[inutum] 161 1/2 eg --- 70 1/2 tempus --- 39 gc --- 70 1/2 --- 36 et per ambas egc 75 et per 4 afegc 236 1/2. |
3A
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Considera num tempus per ac ad tempus per [du]as aec sit ut radix radicis lineae quae a centro b super ac cadit perpendiculariter, ad radicem radicis perpendicularis ex eodem centro super ae. |
3B
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Tempus per 2 egc ex quiete in e est 66326; deberet autem esse 71757, si casus per egc ad casum per ec haberet eandem rationem quam casus per aec ad casum per ac: movetur ergo citius per egc quam per aec. Et ex quiete in 8 tempus per [du]as 8c ad tempus per solam 8c est ut 14378 ad 19598: longe igitur adhuc citius movetur quam per 2 egc. |
4
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ra?... ...?ciuntur per ...?... ...
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C01
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ad | longa puncta | 180 | sit tempus casus per ipsam m[inutum] | 180 | et per ambas adc m[inutum] | 270 | | ac | | 254 3/5 | m[inuti] | 254 3/5 | | | | ae | | 138 | tempus casus per illam m[inutum] | 164 | | | | ec | | 138 | tempus casus per eam post acm[inutum] | 75 | et per ambas aec m[inutum] | 239 | | af | recta | 70 1/2 | tempus | 113 1/2 | et per ambas afem[inutum] 161 1/2 | et per 4 afegc 236 1/2 | fe | | 70 1/2 | tempus casus post af | 48 | eg | | 70 1/2 | tempus | 39 | et per ambas egc 75 | gc | | 70 1/2 | | 36 |
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C02
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229 1/2 |
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