z r>E PRODVcris ex iNFmms 



§.8. Vt hanc aequalitatem exemplis illuftremus , fit 

 g-i, eritque Jyf-djV{i^j') = i^--^(^ Vnde 



fipf '/ /(^/-4-0^ 8 2. 2 . 4. 4 •(2/- 2)(./-2 )— (^/H ^.X3/H - J(2^) „.^ 



^^'^'- -rr 3.3.5.5.7.7 (2/-i-.)(r/H-.;~(^i-+-^;ujH-TJ(;7-r+) 



quae expreilio ordinata (eu ad continuitatem reduda dat 



TT = 4. '■ '■ ^- '• '■ '• '■ '"• '" • etc. quae ell ipla formula 



* 3. 3. J. 3. 7. 7. 9- P. I J- ■' ■■■ 



Wallifiana , prodiitque quicunque numerus integer affir- 

 matiuiis loco / fubftituatur. Haec eadem expreffio au- 

 tem prodit fi ponatur ^ =: 2, et / — numero cuicun- 

 que impari integro. 



§. 9. Cum igitur fit /-^ (-^^ )' zz: 



2/ (2/^-^<^)(v-^^<?)(2/^-4^)(V-i-^)(^;^-^^) 



erit pari modo ^^ (^^)^ == 

 (2Z; -Vfe)(2Z>>Hfe)(2^H-3fe)(2^+3fc)(^^+5^)(2^+ 5^) ^^^ 



Quare illa expreffione per lianc diuiia obtine- 

 bitur fequens aequatio libera a peripheria circiili tt 



;^^M^b-If/j/.y ( I _.y jj^^s/^^M-fe)^ (2/-f-2^)'C2fcH^3fe)'(2/4-+fe)»C26-+-5fe)» 



etc. Quae radice quadrata extrac^a praebet hanc aeqiiationem 



/r-^-^^: V(l-> '^).yg __ .fe(,/^ g)(,fe-4,,|t )( ,/.4,,g) (,^4-,fc)f,f^5g) ^ 



fV^-^dy.Vll—J^) ^* =/(='/'-Hfc)(2/-+-2g)(2feH-3fe)(2/^4g)(2fc-t-5fe) 



§. 10. Haec autem cxpreffio infitiita valorem conftan- 



tem non habet , nam etiamfi in infinitum continuetur , 



''"tamen alium habet Yalorem, fi numerus ftdrorum capiatur 



par, alium fi numerus impar. Quamobrem nifi fit kzz.g^ 



quq 



