80 METH.INTEG. FORM. DIFFERENT, RATlOn. 



cft , vt ciidom rcpcii:\tiir cxpreirio pro arcii v|y , fiiic ;/ fit 

 numcrib p.ir iiuc impar. Si cnim ad modum (cricrum 

 rccurrcntium fummam omnium tcrminorum inuclligcmus , 

 proucnict o— ( i -^cof. A. :i\\/)coi'.A}i\l>-\-coi'.A{n-z) 

 \4> -H( I — ftcof. A.2 \|/)cor A. — «\4>4-cor. A.— («-2)>4^ 

 hoc crt ob cof.A. — «v^/n-cof. A.;iv|/ ct cof A. — (n — 2) 

 \j/rrcof. A.(«— 2)4/ crit o;r:cof A( ti-z)\\j -z cof A. 

 2 \l/ col". A.n\l/-\- col j A. « \j/ , atquc ex lcgc progrclfionia 

 ob cof. A ( « -f- 2 ) >4/ ~ 2 cof A. 2 v|y. cof A ;; \4/ — cof A 

 (;/— 2)vj/ cnt cofA (;;-}- 2 )v|>' — cofA;;v|/. At cfl gc- 

 ncr.ilitcr cof, A. ;; v|/ zz cof A ( 2 )k tt — n v|/ ) , vndc oritur 2 k 

 TT — «v|/ — (;/-f-2^v|/ , hincquc \[i rr. -^j^^ ; fiuc ;/ fit nn- 

 mcrus atHrnuLiuus fiuc ncgntiuus. Adnotari hic conuc- 

 nit arcum v|y cdc ciuimodi , vt 2;;-f-2 vicibus fumtus 

 dct pcriplicriam tonmi aliquotics fumtam , cx quo crit 

 cof A2( ;; -j- i ) v(y ~ i. Qiuimobrcm fi cxprclfionis 

 I — .v"-"-*-- fi(flor (cu dinilbr fucric i -^l- 2 .v cof A vjy -}- -v .v , 

 arcus \]y ita crit comparatus , vt fit i — cof A( 2;;-}- 2) 

 v|> — o , quo ipfo ingcns analogia cum cxprclTionc i -.v"'"*" 

 perfpicitur in rcliiiuis calibus confumanda. I(k autcm 

 ri<ftor I -{- 2.V cof A v|/ -f-.Y.v non (blum fi(fl()rc>> trino- 

 mialci forniac i— .v'""^-' in (c complc(ftitur , \cium ctiam 

 ip(bs ficloics (impliccs railcs ciuM.lcm firmulac ncmpc i ~\-.\ 

 ct I -.V indicat : namt]uc \i dctcrminationis c(ic p^^tclt vj/— Tt 

 et v[/zr:2 7r ; priori calii fit cof Av|/:=:-i , altcro cof A. 

 v|/~i, vndc oriuntur lii f;i(5borcs i -j- 2.v-4-.v.v ct i - 

 2.v-f-.v.v , (]ui funt quadrata t;ic"torum fimplicium i -}-.v ct 

 I —.V. Nc(]uc vcro di(crimcn intcr (]uadrata ct radiccs 

 fcrupulum moucrc potcl! , cum in logarithmis , ad (]uos to- 

 tuni ncgotium itfcrnir , totum difcrimcn in cocHicicmcs 



cadat . 



