122 METH. FJCIL. ATOrE EATEDIT. IXTFOR,' 



fcribntur /* fin. A.jfeCp •, ct qnod prodit , fic — Q^^ntquft 

 inanifclhim ert pcr lubllitutioncm 



.i^rr/ * cof A ./t0 ^3 /* y - 1 . fin. A . JtCji 

 denominiuorem abinirum cflc in 



P H^ QV - I. 

 qu:ie duplex expreffio cum dcbcat cffe — o , erit tam 

 P =: o , qu.im Q_=i: o. 



§. 24.. Ad v.ilorcs igitur t.im pro p ct q qmm pr» 

 arcu Cp inucnicudos , qui rcddat 



p — zxVpq. cof ACl)-4-<7 v.v 

 Cidorcm dcnomin-.uoris N, i^ofito /=:V|, duplicciTi 

 nancilcimur acquationcm ^ primo fcilicct loco .v* poncndo 

 / * cof Ak<P , oritur ncquatio P — o ^ ac dcindc loco 

 X* poncndo /* fin.A^CP, orictur altcra acquatio Q_— o> 

 ex quibus duabus acquatiouibus tum quantitatcm /, quum 

 arcum (P dcterminari oportcbit. Hoc autcm pluribus mo- 

 dis femper prnediri poterit , tot fcilicet , quot varios fac- 

 tores tam fimpliccs quam trinomialcs rcalcs dcnominator 

 N in fe compicditur. Simpliccs quidem prodeunr, fi <P 

 — , quo cafu altcr vaior Q fpontc fic o , ob fin. A.fe 

 (P— o ; tum autcm crit cnl. A.k(prjii , ac valor P ex 

 N nafcctur, poncndo fimplicitcr / loco .v. Qiiarc, quot 

 ifta acquatio P — o habcbit radiccs rcalcs , tot prodibunt 

 fi(flores fimpliccs rcnics dcnominatoris N ; ac fi omncs 

 radiccs aequationis P — o fiicrint rcnlcs , tum ^ltcriori in- 

 vcfltgatione non crit opus. Sin autcm radiccs imaginiriac 

 contincantur, tum alios quacri oportct valorcs pro arcu C|), 

 qui acquatiouibus P — o ct Qzr o fuir.r.iciant , hincijuc 



Con- 



