Overview Level of Folio 166 r


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
Folio 166 r (final text)
1A Cum semidiameter sit 100000, quadrantis circumferentia est 157143 157042;
seu si semidiameter sit 1000, circumferentia quadrantis plus 1570 minus 1571.
1B si [quadratum] sit 1000000, [quadrans] erit 785250.
1C Tempus quo conficieretur circumferentia quadrantis, si esset recta et ad perpendiculum, 125331.
1D 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 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 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 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 ra?... ...?ciuntur per ...?... ...
C01
adlonga puncta 180sit tempus casus per ipsam m[inutum]180et per ambas adc m[inutum]270
ac254 3/5m[inuti]254 3/5
ae138tempus casus per illam m[inutum]164
ec138tempus casus per eam post acm[inutum]75et per ambas aec m[inutum] 239
afrecta70 1/2tempus113 1/2et per ambas afem[inutum] 161 1/2 et per 4 afegc 236 1/2
fe70 1/2tempus casus post af48
eg70 1/2tempus39et per ambas egc 75
gc70 1/236
C02 229 1/2


Overview Level of Folio 166 r