Overview Level of Folio 78 v

 Size Height 282 mm, width 195 mm. Comments Written by Galileo; contains drawings, short texts, calculations, scratch. Relation to the Discorsi: related to 2/29-th-18; work on 2/37-pr-15. References Wisan 1974 241
 Folio 78 v (final text) 1 Invenienda est in ac pars aequalis ipsi ab, quae conficiatur eodem tempore quo ipsa ab. 2A ab longa 4; bc 8 tempus per ab 4; ergo abc longitudo 12 conficitur in tempore 8. 2B Sit db 9; erit eius tempus 6, et ex d conficietur db 9 cum bce 18 tempore 12, nempe 27 in tempore 12. Sed si be conficitur (cum sit 18) tempore 6, bc conficietur tempore 2 2/3, et tota dbc in tempore 8 2/3: conficiuntur ergo citius abc quam dbc. 2C Sit bd 8; conficietur tempore radicis 32, idest 5 1/2, et erit be 16, et dbc conficietur tempore 8 1/4. 3 ...?... Galileo Galilei mio ...?... C01 16 * 3 = 48 48 * 3 = 144 C02 97 64 * 4 = 256 C03 144 : 3 = 48 36 * 36 = 1296 16 * 16 = 256 1296 : 256 C04 8 + 4 = 12 C05 (6 * 8) : 18 6 * 8 = 48 48 : 18 = 2 2/3 C06 32 : 5 = 5 7/10 C07 9 * 4 = 36 C08 123 * 123 = 369 + 246[0]123[00] = 15129 sqrt 15129 = 12[3] C09 104 * 104 = 416 + 104[00] = 10816 C10 sqrt 10800 = 10[3] C11 (5 1/2 * 8) : 16 5 1/2 * 8 = 44 44 : 16 = 2 3/4 C12 2 1/4 + 5 1/2 = 7 3/4 2 3/4 5 2/[?] C13 5 7/10 * 5 7/10 = 57/10 * 57/10 57 * 57 = 399 + 285[0] = 3249 3249 : 10 = 32 49/10 C14 3000 * 60 = 180000 C15 8 + 2 = 10 8 + 4 = 12

 Overview Level of Folio 78 v