C AtCVLI SINVV M. x^$ 



aSGn .(pz^a+acof. aCl^+pjoC^Cp-hycof.^Cp+^Jc-of. 8<J)+e cof. i o(|)etc. 



+(3 -\y +S +e 4^ 



Si nntcm ipfi feries propofita per 2Gn.Ct) mukiplice- 

 tiir hiibebitur. 

 2 Snn Cl:=A-Acof.r.0-Ecof.4(])-Ccof.64)-Dcof.8C|) -Ecof.io(^etc. 



+B +C +D +E +F 



ynde feqiientcs elicinntur coefficieutium quaefitoium de- 

 terminationes. 

 «=A 



p— B-A-ar=B-2A 

 yr; C -B- (3- C - 2 B-f- 2 A 

 ^ — D-C-Y-D-2C-H2B-2A 

 E -E-D-a=E-2D-4-2C-«B-4-2A 

 ?= F-E-£z^F-2E-^2D-2C-l-2B-2A 



etc. 

 Hoc igitur cafii omnes coefEcientes quaefiti determinan- 

 tur , nuUusqi^e eorum arbitno noftro relinquitur* 



q. E. h 



C G R O L L. 1. 



45.. Si feries propofita S finito terminorum 

 ■numerorum conftet, fieri poteft, vt feries ^-^^ vel quo- 

 <\nt fit finita, vel in infinitum excurrat. hius eueniet, 

 fi coefficientes A, B, C, etc. ita fuerint comparati, vt fit 



A-B-hC-D-i-E-etc. — o 



C O R O L L. 2 



46. Series autem propofita S abit in A-E+C-D+etc- 



fj an^ulus cp ftatuacur re(Sus; quare fi valor fedei S 



Bb 2 euauefcat. 



