Del Sic. Prof. Gaspare Mainardi 17 



A riprova formo 5.8=:4o, A,=o col porto 4 

 4-+-a,.a!;a-)-«aa:,=4-+-2-8-t-5.6=5o, Aa=o col porto 5 

 5H-i.5-t-a.6-H-a.8=38., A3=8 col porto 3 



3-1-2,. 5-H 1.2-1-6.2-4-9.8=99, ^4=9 9 



9-t-4.5-<-a.a-Hi.a-i-6.9-f-2,.8:=io.5, A5=5 io 



io-)-3..5-H4.2-t-a.a-Hi.9-t-6.a=:58, A6=8 come abbiamo supposto. 

 Dunque sarà 9999859800 il prodotto vero coli' avanzo 6. 



Dividendo i4986ooa3g: *^'"^"^ .4 ^s^,.. = 4875 



'^ -' quoto XrXf—iXr—iXr—SXr—^Xr—S ....:= 007400. .. . 



4^;, -4- i, = 14? 4^r— i-*-8^r-+-^a = 9-t-^i • IO ; a;^ = 3, Z', = a 



4^r— I -H- a4 -+- Z»» = 29, 4^r— 2 -H 8a%_, -h 70;^ -H Z's = 8 H- Z'i . I o, 

 ossia 4-"^r— i-t-^a = 5, 4^r— 2 -+-80:^—1 -H ai -+-^3 = 8 -1-^1. IO. 



Non ponno essere ar^— , = i, èa=i, 4^. ^ -♦- 29 -)- ès := 1 8, 



dunque a;, 1 = 0, b^=:5 



^x, a H- a I -I- Z'3 = 58, 4^r— 3 -t- Sxr—a-H '^x, ,-(-5a:,-t-è4=6-t-^3 . 1 o, 



ossia 4^r— 2-+-^3 = 37, 4^r— 3-*-8a;,_»-+- i5-i-è4=:6-t-^3.io, 

 onde o-v—a =7, ^3 = 9 



4^r— 3-H-7I-+-^4 = 96, 4^r— 4-4-8arr_3-(-7^r— 2-+-5x,_,-4-^5 = 0-(-è4.I0, 



ossia 4'^r— 3 -4- ^4 = a5, 4^r— 4 ■+• 80:^—3 -4- 49 -♦- ^5 = o -<- ^4 . i o. 

 Se pongo a;^— 3 := 5 , ^4 = 5 la seconda non regge , dunque 



^r-3=45 *4 = 9 



4^r— 4-t-8i -(-Z»5=9o, 4^r— 5-t-8xr_4-4-7r^3-H5a;,_2-4-^6^a-f-è5.io, 

 cioè 4^r— 4 -•- ^5 = 9? 4^-— 5"^ 8^r— 4-1-63-4-^6 = 2,-4-^5 . 1 e, 



a;,_4 = o, Z'5 = 9 

 4^:^—5 -H 63 -+- ^6 = 92, 4^r— 6 -t- 8x^5 -4- 7Xr_4 -4- 5a:,_3 -i- 



Z'- = 3-4-^6 • IO, 

 ossia 4^r— 5 -4- ^6 = 29, 4*r— 6 -1- 8xr_5 H- 30 -4- Z»^ = 3 -4- Z'e . i o, 



Xr_5^5, C'è ^ 9 



Tomo xzr. P.'» /.» 3 



