52 OBSERVATICNES DE SINGVLARI 



II. Quoniam progreflio finuum in Theorema- 

 te 1""' confiderata , in has binas refoluitur 



fin, s(i-i-cof "y-f-cof. 2 -y-hcof. 31; . . . 4-cor.«'y) 



-f-corz^fin.^y-i-fin. 2i;-hfin.3'y -^-fin.Mi;), 



progrefllo auttm cofinuum in Theoremate 11'^" exhi- 

 bita ex his duabus componatur 



cor.3(i-T-cor.'y-f-cor.2v-)-cof. 31? . .. -f-cof.wy) 

 — fin.^Cfin.-y-i-fin. a^y-l-fin. 5V H-fin.^iiy), 



euidens efl, fnmmam progrefiTionum in binis noftris 

 Theorematibus confideratarum fponte innotefcere , fi 

 cognitae fucrinc fummae harum progrefilonum 



fin. «y-l-fin. 2t?-}-fin. s-y-f- . , . . -l-fin./fy et 

 1 4r cof. -y -h co(. 2 -y -i- cof. 3 «y . . ..... ^ -Ir col. « v.. 



Quamttifr autem m harirm? progreflO^onum^ fummis in- 

 dagandis , eosdem fequi liceat procedendi modos , 

 quos in Theoremaiibus fuperioribus adhibuimus , ta- 

 ipan aliam haud parum elegantem adiiciam Metho- 

 dum , ilii analogam quam ab lUuftr. Eu/ero adhibi- 

 tam inueni. Primum igitur pro inueftiganda fumma. 

 fin.iy-f-fin. 2V-hfin. s^y . . . . -+-fin.«v 



notare conuenit efle ; 



(cof. -L-y-t-fin. l -yV- 1 )*-(cori v-fin.l vV- if 



fm.viz 

 cof.v— 



(cof-L-yri-fin.i vV- 1 ^^-f-^cof.l-y- fin.i -yV-i)* 



2- 



^ . fcofi-y+fin.iijy-ir-Ccon-y-fin.l-yV-i)* 



fin. 2 «y — ^"TT i 



2 V — it ' 



(cof l^y+fiR.si^^^^-O^+Ccof.i-y-fin.i-yV- 1)* 



,1 Bcol. 2<y— " — ' -; 



a et 



