AD ANALYS. DIOPH. PERTINENTIS. 3» 



4. Qiiod fi ergo fador communis fuerit qudt 

 dratum , quatuor fequentcs formulas quadrata effiei 

 oportet , quas quidc n per ambiguitatem fignorum 

 ita duabus formulis comprehendere licet : 



I ct II. z-^-y^x-O'^ IH ct IV. z^-yA^xziQ 



Quare quum in genere fit aa + bb-A^zab-O 

 fimilique modo cci-ddA^^.cdzzD^ ftatuamus vt 

 fequitur: 



z -^y "zz a a -^ b b '^ x z=i 2. a b 



z— y zzc c ^ d d ; x zn n c d 



Vt autem fiat labzztcdy ftatuatur vtrumque 

 z=:2pqrsz=ix , fumatarque azzpq;b:=:rs;czzpr; et 

 dzzqs eritque 



z^yzzaa-^-bczppqq-^rrss et 



z —y ■z.c c -^-d dzLpp r r -^* qq s s vnde colligitur 



Z ZZ: (PJ>-»-") (^<7-4^rr) gf « --^ (pp^ss)iqq^rr) ^^^ 



vero erit 



I. z+y+xzzia-^-bfzzzipqA-rs)* 



II. z+y-x—^a-^bfzzipq—rs)* 



III. z—y+xzzic+dY zzipr-^-qs)' 



IV. z-y-xzzic-^dyzzzipr^qsy 



5. Supereft igitur, vt etiam fadlor communis 

 ^ quadratum reddatur , qui euolutus pracbet banc 

 formulam : 



-5- zz (pf>->-^0('??-»-^^) 



ar 



