Overview Level of Folio 80 v

 Size Height 280 mm, width 187 mm. Watermark Two watermarks. Unicorn with 4 legs, little circle on top of the forehead. Crown with encircled cross. Drake's identification: Watermark type 13. Drake's description: Rhinoceros 75mm (smaller on letter cited?). Date of earliest letter with this watermark is August 1607. Comments Written by Galileo; contains calculations, short text, drawings. Relation to the Discorsi: work on theorem of equivalence.
 Folio 80 v (final text) 1 Sia ab (50) tempo et impeto di ab; tempo et impeto di yb (68) è la media di 68 e 50, cioè 58 4/11. C01 50 * 50 = 2500 2500 : 105 = 23 85/105 85/105 = 4/5 105 * 105 = 552 + 105[00] = 11052 11052 + 10000 = 21052 sqrt 21052 = 145 27/290 C02 sqrt 20000 = 141 119/282 C03 111 : 7 = 16 C04 108 80 108 * 54 = 432 + 540[0] = 5832 sqrt 5832 = 76 C05 10000 + 2500 = 12500 sqrt 12500 = 111 C06 12207 111 3/4 * 105 5/7 = 555 + 11172 + 77 = 11804 C07 (20 * 20) : 37 20 * 20 = 400 400 : 37 = 10 C08 (50 * 50) : 70 50 * 50 = 2500 2500 : 70 = 35 5/7 70 * 70 = 4900 4900 + 10000 = 14900 sqrt 14900 = 122 16/244 C09 (100 * 122 1/15 ) : 105 5/7 C10 111 3/4 * 106 = 672 + 112[00] = 11872 C11 128 * 50 = 6400 sqrt 6400 = 80 C12 10000 + 2500 = 12500 sqrt 12500 = 111 179/222 179/222 = 26/32 = 13/16 = 3/4 C13 (111 3/4 * 128 4/5) : 145 1/10 * 100 145 1/10 [* 100 =] 14500 128 4/5 * 111 3/4 = 128 + 128[0] + 12896 + 88 = 14392 C14 222 : 179 = 1 C15 80 * 80 = 6400 6400 : 50 = 128 C16 244 : 16 = 15 C17 22 * 4 = 88 C18 80 * 80 = 6400 6400 : 50 = 128 C19 78 * 50 = 3900 sqrt 3900 = 62 56/124 56/124 = 7/15 C20 68 * 50 = 3900 sqrt 3900 = 6[2] 68 * 50 = 3400 sqrt 3400 = 58 36/116 36/116 = 4/13 C21 32 * 3 = 96 C22 27 * 4 = 108

 Overview Level of Folio 80 v