i54 



Hiiic. 



Aloysii Casinelli 



(1,2,3) 



(log. (l4-.r); ='^'-6-2X1 ''+^-2X175 

 cujus seriei terminus generalis est 



(1,2,3,4) ^ ^(1,2,3,4,5) 



x^ — o „ -H etc. 



2.3,4,5.6 



±6 . 



(1,2,3 .". . .(n+l)) „^2 



sumplo signo 

 numerus par. 

 Si m = 4 erit 



2.3 («+2) 



si n est uuraerus impar, signo — si n est 



4 



2 



68 



"24 



2520 



~720" 



162456 



40320 



16148160 



3628bOU 



B = 

 C:= - 

 D = 

 E = 



240 



120" 



2040 



"720' 

 17640 



5040 

 162456 

 40320 

 1614816 

 3G2a80 



= — 24. 



= 24 



= — 24 . 



= 24. 



= —24. 



10 

 f20 



85 

 720 

 735 



soTo 



6769 

 40320 



67284 

 3G2a80 



do 



etc. etc. etc. 



Numeratores 10,85,735.6769,67284 etc. exaniini subjicien- 

 I, videbimus esse 10 aggregaium ex primis quatuor nu- 

 meris 1, 2,3,4^ esse 85 aggregatiirn productorum ex numeris 

 1,2,5,4,5 binis snm|)lis^ esse 735 aggregatura productorum ex 

 numeris 1,2,3,4,5,6 tcrnis sumptis", esse 6769 aggregaium pro- 

 ductorum ex numeris 1,2,3,4,5,6,7 quaternis sumptis^ esse 

 67284 aggregatum productorum ex numeris 1,2,3,4,5,6.7,8 

 quinis sumptis etc. Erit igilur 



A= — 24 



B =21 



10 _ 

 120 --24 



85 



— — 24 

 720 — ^ 



(1.2,3,4) 



2.3.4.5 



2 

 ( 1,2,3,4,5) 



2.3.4.5.6 



