AD ANALYS. DIOPH. PERTINENTIS. 33 



fae quantitates occurrunt , earumque fingulae ad tot 

 dinrjentiones aflfurgunt , ante omn ia elaborandum eft , 

 vt diuerfis fadoribus denominatoris communes diui- 

 fores concilientur ; hunc in finem vfus fum fequen- 

 tibus pofitionibus ; 



p + x=za(3^ /)-j=r6^; q-\-r:=zay; ttq-rzne^ 

 ita vt fiatp-^J^^i; x-*-^^ q---y±J-^tt 

 r -zz "'^—-i^ ,• tum vefo noftra conditio principalis 

 poftulat, vt {it : 



2 p ^2 r s. P 7 $" >J. a^ E- N^ 



{pp -hs s){qq^rr) M^ ^? g2 



8. Secundo conftituatur ratio inter littcras r 

 et X, quae fit vt/:^, eritque f',g :: ay — €>] : aj3-£<^ 

 fiue ^ (ct y — e •>!) rz:/(c« (3 — e<^) , vnde colligitur 

 ct (/(3 — g y) zi: e(/^ —g >j) , quocirca ponamus : 



,a :==/<? — ^ "^) ; e ^/(3 — ^ V; tum vero habebitur. 



a 2 



9. Vt adhuc plures fadores in denominatore 

 communes reddamus 5 faciamus infuper q znh ^^ 

 Vtide iiaec aequatio ertiergit : ii^]T$i ffnhff li^ir 



2/:7j3^— /j3vj-!-/^y— a^yv) fiuc ^»^ 



(3(2Z7<^— /vj^zzy (/2^— ag^l) quam ob rem ponamus 

 ^^f^—'2.gy\ et yzi2.h^'-fy[, Ex his ^utem va- 

 loribus porro coliigimus : • ^^'' 



aZZf^-^gy^- £~(ff'-2gh}i^-fg'^;''- : -^^C* 



Tom.XV.Nou.Comm. E p+s 



