58 OBSERVATIONES DE SINGVLARl 



3 n (; n — i)(i n — 5) . . . . n -4- ' 



• ■ « • — « — - — • 



i. 3- s • ' ' n,. 2 



•vel mutato ordine terminorum 



- tn — r -q/- „in i7t(;n — i ;( ;n — ;) .. .n-f-i ■ anfan — i)fTn— t). ..n-4-2 ^qJ" ^ m 



""" I. 2. s • . • n. 2 i. 2. i . . . n — I 



4- -"^"-'^'-"-'i ^'Ldr.Icor.4-2 hCOf. 2»«. 



1. :. 3 . . . U — I ^ ' 



Hinc pro caribus fpecialibus , fequentes confequeraur 

 exprefliones 



a°.cof.s =: cofsr 



a cof.s' r= I -{-cof iz 



s.\ cof s' = 3 cof. z 4- cof 3 z 



a'.cof2:*z=: 3 -H 4C0f. a^H-cof 4S 



a^.cofs;' =:iocof;s-j- 5Cof 3s-i-cof 52: 



2». cof s^rzio ^ H-i5Cof25r-f-5cof424-cof53 



a*.cof5;'r=3 5cof.s-V-2icof3::-}-7Cof s5;-Hcof7s 



a^.cof^'— 35 -j-56cof25;4-2 8cof:4s4-8cof<J5;+-cof85; 



a'.cofs'=i2<Jcof.5!-+-84cof3--l-3^cof5s+9cof7~4-cof9 5; 



2».cof«"°m25 4-2iocof2s4-i20cof4S+45cof6c-i-iocof 8s+cof lO^. 



14. Hifce praefuppofitis facillimum erit affi- 

 gnare fummas progrefiionum ex quibuscunque po- 

 teftatibus finuum vel cofinuum pro arcubus arith- 

 jnetice progredientibus. Sic fi propofita fuerit prc- 

 greflio : 



fin.s'-|-fin.2 5;'-|-fin.3s*-}-fin.4a;' . . .-\-^m.nz 

 ob fin.«2' — L::!!''-^""'', progreflTio ifta iu hanc mu- 

 tabitur 



