— 561 — 
1 1 lentra .7. uolte: emetera .7. fuorachomo uedi: poi dira .3. uia » pra: poi p le .4. dexene dirai .40. de .50. eriman .10. edepenerai 
> 7. fa .21. elql hai atrar dequel .26. chominzàdo dala vnita: e » el .5. e meterai .1. disopra. E chusi arai fornito eltuo batelo: e 
Q dirai .1. de .6. eriman .5. edepenerai el .3. t el .6. emeterai .5. di » nota che quello che ti auanza disopra sono roti: epo li mete 
[| > sopra eperche edito .21. egia efornita la vnita: ora ale dexene » rai fuora disopra la linea chomo uedi : t el partidor disotto: 
i i dirai .20. de .20. erimT niète edepenerai el :2. emeterai .0. diso » echusi arai che partito .56789. in .36. parte totherano {sic) p ogni 
i pra Ora per fornir el .6. dira .6. uia .7. fa .42. etorai leunita: edi „ p at q e .1577. II . » 
1 rai .2. de .9. eriman .7. edepenerai el .6. t el .9. emeterai .7. diso . ‘ ' 86 
In questo passo della suddetta edizione intitolata « Qui coutenza la nobel opera de|| 
» arithmethica », ecc. è chiamato « partir batelo » (Vedi sopra, pag. 560, col. 
1% lin. ì) lo stesso metodo che nel passo riportato di sopra (pag. 559, col. i a , 
lin. 1-23, col. 2% lin. 1—30; pag. 560, lin. 1— 14) delle carte 25 a e 26 a della sud- 
detta edizione del 1478 è chiamato <c partire per batello » (Vedi sopra , pag. 559 , 
col. i a , lin. 9). Nel medesimo passo della suddetta edizione intitolata « Qui 
» comenza la nobel opera de |] arithmethica », ecc. dalle parole « e p'rna meterai » 
(Vedi sopra, pag. 560 , col. i a , linea 7) a « £ ogni parte .1577. » ( Vedi 
sopra, linee 5—6 della colonna 2 a della presente pagina 56i) questo metodo è ap- 
plicato alla divisione di — , - è - - 9 - = 1577 + ~ . 
Nel precitato volume intitolato « encyclop^dia metropolitana; || or, || universal 
» dictionar y of knowledge, ecc. volume i. » (pagina 50i a , numerata 433, col. 1% 
linee 52-57, col. 2% linee 1-60 ; pagina 502% numerata 434, col. i a , linee 1-8), 
si legge : 
« 4. Galea vel galera vel batello; from thè form of thè 
» process ressembling a galley, “ tbe vessel of all others 
» most feared on thè sea by those who bave good know- 
» ledge of it ; thè most secure and swiftest , thè most 
» rapid and lightest of thè boats that pass on thè water. ” -f- 
» The following is thè form of thè process: 
» To divide 97535399 by 9876, 
1 2 
7 2 5- 
222 ■ 
* Df Sr Ut 
2 2 4 2 2 2 
2 7 » & 2 » 
*222*272 
9 7 5r 2 Z 2 9 2 [9 8 7 0 
9 2 7 2 2 2 2 
» % 7 7 7 
8 - 8 ■ 2 
9 
» Such is thè form of thè galley, as given by Lucas de 
» Burgo. In order to explain its construction , we will 
» examine thè severa] steps of thè process: write down 
» first thè dividend, and underneath thè divisor, com- 
» mencing with thè second figure of thè dividend , as thè 
» number formed by thè first four figures of it is less than 
» thè divisor; thè result corresponding to thè first figure 
» in thè quotient will stand as follows : 
8 6 
» 7 5 
* 2 2 2 1 
& ? 5- 2 & 399 (9 
2 2 7 2 
» The product of 9 into 9 is 81, which subtracted from 
» 97 leaves 16: cancel 97 in thè dividend and 9 in thè 
» divisor: 9 times 8 is 72, which taken from 165 leaves 
» 93: cancel 163 in tbe last remainder and 8 in thè 
» divisor: 9 times 7 in 63, which taken from 933 leaves 
» 870: cancel 933 in thè second remainder and 7 in thè 
» divisor : 9 times 6 is 54 , which taken from 705 leaves 
» 651 : cancel 705 in thè third remainder and 6 in thè 
» divisor : thè remainder after thè first division is 
8 6 5 1 3 9 9. 
» We now proceed to thè second figure in thè quotient, 
» which is 8, when thè scheme , with thè divisor in its 
» proDer place, appears as follows : 
8 6 
9 7 5 
*222 1 
9 ? & 2 5- 399 (98 
9 2 7-2 6 
9 8 7 
» which is equivaler^ (thè quotient determined not being 
» considered) to 
8 6 5 1 3 9 9 ( 
9 8 7 6 
» The scheme, after thè second division is completed, will 
» stand as follows : 
2 
* <X 5 
2 2*0 
9 7 Sr Sr 
* 2 2 2 * 5 
97&2S-299 (98 
2 2 7 2 2 
2 2 7 
» The product of 8 and 9 is 72, which taken from 86 
» leaves 14 : cancel 86 and 9 in thè divisor : 8 times 8 
» is 64, which taken from 145 leaves 81 : cancel 145 and 
» 8 in thè divisor : 8 times 7 is 56, which taken from 811 
» leaves 755: cancel 811 and 7 in thè divisor: 8 times 
» 6 is 48 , whick taken from 53 leaves 5 : cancel 53 in 
» thè dividend and 6 in thè divisor , and we get thè re- 
» mainder 750599 after thè second division. » 
11 metodo chiamato <c Galea vel galera vel batello » (Vedi sopra, linea 1 della colonna i a 
