Overview Level of Folio 123 r

 Size Height 265 mm, width 198 mm. Watermark Person with foolscap. Drake's identification: Watermark type 27. Drake's description: Cock on hills in 33mm circle. Comments Written by Galileo; contains calculations, short text, table, drawings. Relation to the Discorsi: work on 3/12-pr-05.
Folio 123 r (final text)
1 trova di fc, cd, la [terz]a proporzionale fi;
come ic a ca, così fa, cs a cn;
trova es per i [quadrat]i ec, cs;
trova rn; come cs a sn, così ec a rn;
vedi se la metà di sn è media tra nq e qo.
C01 ic ca cs
(2000 * 2000) : 2004 3/5
2000 * 2000 = 4000000
4000000 : 2004 3/5 = 20000000 : 10023
20000000 : 10023 = 1995 4115/10023
C02 [quadratum] 2000
2714 2/7 * = 10856 + 2714[0] + 18998[00] + 5428[000] = 7365796
7365796 - 4000000 = [33365796]
sqrt 11365796 = 3371
C03 [quadratum] 84 1/6
84 1/6 * 84 1/6 = 7056 + 14 + 14 = [7084]
[quadratum] ao 7054
7054 + 13056 = 20110
sqrt 20110 = 141
C04 (2000 * 114 2/7) : ic 2714 2/7
114 2/7 * 2000 = 228000 + 285 + 286 = 228571
228571 : 2714 2/7 = 1599997 : 19000
1599997 : 19000 = 84 1/6
C05 3371 - 2000 = 1371
C06 2000 - 600 = 1400
C07 2000 + 114 2/7 = 2114 2/7
C08 100000000 : 10006 = 9994
C09 714 2/7 - 600 = 114 2/7
C10 (1473 2/3 * 2800) : 2000
1473 2/3 * 2800 = 1178400 + 2946933 + 932 = 4086265
4086265 : 2[000] = 2063
C11 2000 - 1021 3/4 = 978 1/4
1021 3/4 * 978 1/4 = 8168 + 71475 1/2 + 918953 + 23[0] + 7[00] = 999526 1/2
sqrt 999526 1/2 = 999
999 [* 2 =] 1998
114 2/7 * 114 2/7 = 456 + 1140 + 1140[0] = 13056
C12 (1000 * 1000) : 1400
1000 * 1000 = 1000000
1000000 : 1400 = 714
C13
C14 (2000 * 2000) : ic 2714 2/7
2000 * 2000 = 4000000
4000000 : 2714 2/7 = 28000[000] : 19000
28000[000] : 19000 = 1473
2000 - 1473 2/3 = 526 1/3
C15 2800 * 2800 = 7840000 + 4000000 = 1184000
sqrt 1184000 = 3440
C16
 ab 1000 bc cd ds ac 2000 se cs ae 800 ce 2800 ef 1400 fc fa 600 fi 714 2/7 ic 2114 2/7 sn 1874 2/3 1824 1/3 nc 176 2/3 es 3401 rn 2043 1/4 nq 1021 3/4 qo 978 1/4 ia 114 2/7 ao 84 1/6 si 3371 oi 141 ic 2714 2/7 la 114 1/3 rn 2550 rq 1275 qo 675 ro 550 qn 1325 qo 725 qn 1275

 Overview Level of Folio 123 r