•*{ ) ioi ( &$» 



2 £ — <.* — </ fcribatur £ — <; + £ — </, idque in has duas partcs di- 

 fcerpatur: 



— (FSThT^IV ~~ (e_cirT=-"T) » Tt fit 



. • l ; J » __ _ , 



(c — frj^T^d)^ (d-b)-(d-c) . (6-c)(6--j ; (b-c)-(b-d) — °; 



tum enim hae fractiones ad evndem denominatorem (b — c )' 



(b — d) 2 (c — d) reduclae et iunctim fumtae vtique crunt — o, 



quemadmodum rcm tenianti mox patebit. Secunda aequa- 



tio iiet 



__ bb -j-cd , _ , d — 



(6 — c)i(b-d) 2 ^^ (c-b) : (c-i) ' (d — b) 2 (d — c) ^ 



quae ad communcm denominatorem (b — c) z (b — d) 1 (c — d) 

 rcdu eta cft 



(c.l — bb)(c — d)-t-c( 6 — d) * — d(b — c)* 



lb—ic)'ii, — d)»(°— d) 



cuius numcratoi' euolutus manifefto in nihilum abit, quemad- 

 modum rei natura poftulat. Tertia porro aequatio, omnibus 

 membris ad communem denominatorem redudas, ita fe habet: 



(lbci — bbc — hbd)'c — d)-^ cc(b — i ) ' — id(b c)' _ 



• (6_ c)*(6-J)-(c — d) °' 



cuius veritas iterum faifta euolutionc in oculos incurret. Quar- 

 ta dcnique aequatio, quia eft 



bb(bb — : bc— i b d ■ +. u d) y c ' , d * 



(b — c)'(b — d)* ' (c-b) z (c-d) ^^ (d- b) 2 (d — c) 



fi ea eodem modo tradetur, abibit in hanc : 



(6«— ifr-c — ,6*„ +. zbbcd ) (c — d ) - +■ c* ( b — d ) 2 — d" ( b — ■ c ) * . 



(6 — c) l "(6— • „)*7c_-d) ' — 



Quod fi autem huius fraclionis tam numerator quam denomi- 

 nator adu euoluantur, reperictur effe 



{b 4 -zb\--2b*d+3bbcd)(<;-d) + c>{b-dy-d\b-cy~ 



(b-c)'(b-dy{c-d), 

 ^ti requiritur. 



N 3 §. itf. 



