72 Aloysii Casinelli 



f 



Est veio 



1 4_ a'>-\- b''+ c*-f. rf*= 



1 4- a'-i- i'-H c'-t-(/' = 5 

 etc. etc. etc. 



et o^eneratim l-t-rt'^ -+-^^ -f-c^ -f-r/'' =0 si k non est divisisibile 

 per 5, atque i-i-a> -^b^ -\- c^ -+- d^ =5 si A est 5 vol multi- 

 plum numeii 5, aique A"-t-B"H-G"-+-D"H-E '=P., ergo 



P, = 0. 



Ell-it qiioque 



Sed 



ergo 



1 1 em 



ergo 



B"= aV -H 3 aVi + 3 a'r j' + a's' 

 C"= i V 4- 3 b^r's + 3 i V s' + i':5» 

 D"= c V 4- 3 cV'^ + 3 c V / -4- c'i' 

 E"=^V-+- 3 rfVV-f. 3 c?Vi' -!-£/'*' 



A"4-B" + C" + D" + E" = P5 



4_3(1 +a'*4-i'*-f.c*-|-<^*)r'5' 

 4_ 3 (1 -1- a= + i' -H c' 4- «^') '■ ■^^ 



A'^= r'* 4-4 r'*4- i /■'j'4- 4 rs''+. s'> 

 B'* = fl* r* 4- 4 rt= r' J 4- ^« a" ;•" i* 4- 4 <i' r i' 4- aS* 

 C* = iV-*4-4iVj4-ii'r=/4-4iVi'4-6S* 

 D'* = cV*4-4 c'r's-^bc' r=5''4-4 c'rj'4-cS* 

 E't = t/^ r* 4. 4 J^ r' J 4- A tfV^ 5' 4- 4 i' r i' 4- rf" i* 



P^ = (1 4. a* 4- i* 4_ c* 4- </'*)/•*= 20 r' 5 

 4. 4 (1 4- a' 4- i' 4- c' 4- rf') /•' ^ 

 4-G(1 ^a'-[-b' + c' + d')r's' 



4-4(1 4-a'4-^'4-c'4-<^0'''*' 



4.(1^a°4-i'4.c»4-</V 



