^178 MEDlTAnOXES DE OVAKTITATIBV^ 



ter — !■ — 9. — V — 9 — — 9. Cetcnim ciiismodi qiuinti- 

 tas imagin:ui;i V — a^-^ ciim fit ~ V[ h-^. — ^] , intcUi- 

 gibilis ciiAdit pcr radiccm Dti deinceps pofiti , h. c. per 

 V[4-<7 -l-<2], vcl per y\—a.-a\ Vbique enim longitiida 4- a 

 aequalis cll latitudini ^«, nifi quod illic h.inim altcrutra 

 concipicnda fit pofitione , quae datae opponitur. 



■§. 9. Hadcnus de conftrucndis ncquationibus quadra- 

 ticis puris , fcu incompletis , per omncs 4. cafns polfibiles 

 a , (3 , y ct (5~. Rcdat vt nunc dicam dc conlhnclio- 

 ne acquationi> quadraticac complctae , fcu aftcdac 

 r.g. 3.''^'*— />-v-|-//ir:o. Sit nimirum [Eig. ^.) duarum qiian- 

 titatum fumma ~PL~PM~/>,fcmifummn— PArr PE~ ',^, 

 femiditfcrentia — AKrzAR— EIr=:QE— y(;p*-^) ; crit dua- 

 rum quantitfltum maior , (eu duarum radicum ncquationis 



mai.Ji-— SPK-PA^-AK;r:/)-4-y('/-^)imiaA-:iSPRrPA AR?=;p-V(j/-^). 



(.? I — PE-h E I S CPOzPE qES 



Eft cnim in CaCi primo Itcm in Cafu fecundo 



x*-ip'-.q^pV[',p*-q)-. _ ^ x'-\p'-q-pV{\p'~q) 



~ px~-ip"-pVC^'-q< ■ 1 - p.v z=-ip' 4.pV(.p'_^) 

 -^q — ~{-q J \ ~\r- q— -\-q 



Hacc igitur acquntio x* —p.x-\-q — o ^ vtrumque cafum , 

 et .V — PKn^PI , et .v=:PR:r:PQ^, fimulcomplcairur , 

 honimque quadratortim .v* vtrumlibct , fiuc PKTI , fiuc 

 PR\'Q, rcpraefcntat Dtum aliijuod pofitinuni primitiuum 

 a cx F/r. i. ct 2. 



Fig.i.a "^ 



Fig. 3. §• lo- lam {Fi^ 3.) producintur PK ct PI in 



jk et i, fKftisquc P^irzPK , Vazz:Vk , Pr— PR , itcm 

 P/rrPI , r^ — PE, P^ — PQ, confiruanciu- dno diucr- 

 h Dta Y> ncnipc Vkti ct Vrvq , qnornm illud crit 

 r= Pi .Pikrr -Pl . - PKrr- .v . -.v = .v' , hoc autcm z=.Vq. 



