EX DATO TERMINO GENERALI. 21 



§. 31. Pcrgo ad feries mngis compofitas , et con- 



fidcro hiuic i H- i -f- 5 -f- is H- etc. reciprocam quadra- 



torum , cuius termmus generalis eft j»— X. Erit ergo 



/ X rt^.v =: Conlt . - - , atque ^^ __ -j • ^-j^i _ -^ - , 5;^ 



zr. —^7-'- etc. His fubftitutis erit i -h i + s + t^ 



i» = SziConft. — j-}-.-^— ^j-f- 3-^ — 77^ -h TrjT» 



»li^ -f- iT^j - Tfn- -f- etc. Vbi conftantis quantitas ex 

 calu fpeciali dcbet dcterminari. 



§. 3i. Ipfo crgo adu addidi decem terminos ini- 

 tiales feriei iftius, quorum fummam inueni i, 

 5497(^773 ii5(5540. Ad hanc ergo cum fit hoc cafu 



.1* 10 j 11 aUUatUr fg ngg I 5o5o 305oo3o ' 1 420005335 "~ 



I _J I 691 _J 7 



sddoooSoooo i i3«oo55ooooo'3 2730000000000000 I 5o5ooooooooooooS 



— etc. Ex hoc ergo prodit conftans illa addenda ~i, 

 (J44.934o5()S4822643647. Huicque conftanti aequalis 

 ell fcnci in nifmitum continuatac (umma ; pofito enim 

 :t:~cv) fit S — Conrt. euancfccntibus omnibus terminis. 



§. 33. Simili m.odo pro ferie reciproca cuborum 

 I -f- l-h 5 7 -+- 5 4 -H ctc. fi addantur dcccm tcrmini ini- 

 tialcs habcbitur eorum fumma haec i ,1975 3 1 985674193. 

 Ynde inuenitnr conftans, quae in lummatione huius fe- 

 rici addi debet =1 , 202056903159594. Atque hiiic 

 numero aequaUs eft fei-iei 1 --\- i -\- ij -{- ^ in infinitum 

 coutinuatac fumma. Atque pro biquadratis i -|-jj -j- ^j 

 -4-ctc. et fumma —1,0823232337110824. 



C 3 §. 34-. 



