140 MLTn. VACIL. JT^^^E EXrEDIT. INTECR. 



z*-\-pz*-{-ifz-}~r — {zz-i-uz-+-A) {zz-iiz-h^) 

 erit />— A-hl3 — tftt i q — Bu — AUj ci ;— AB, binuc 

 p;iorcs acquatioiies vero dant 



B-p-\-uu-A- 'f '" Yiide fit 

 A=i'^=J et B^-i^:tJ 

 qui valorcs in tcrtia acqii.uinnc fubrtituti dant 

 ^ruu~u* -\-zpu -\-ppuu ^ qq lcu 

 u -\- ^pu-\-{pp — ^r) uu — qqzz-Q 

 quae ciim fit acquatio parium dimcnnonum , atque tcr- 

 miinb abli)lutus qq lcmpcr politiuub liguum h.ibcit oppo- 

 fitum fummae potcltiti incoj^nitac u , h.icc actjuatio ccito 

 pro u vnam radiccm rcalcm dabit. Inucntc» autcm pro 

 U valorc reali , valores quiK)UC pro A ct B fient reales, 

 hincque facflorcs zz -\- uz -i- A ct zz — uz -\- ^ ipfi 

 prodibunt rcalcs. Simili autcm m<Klo dcmonikabitur om- 

 ncm cxprcnioucm parium dimcufionum (cmpcr rcl()lubi- 

 lcm cflc in fidorcs trinomialcs rcalcs. Hoc ccrte cui- 

 <flum ell hanc exprclfionem multo latius patcntcm 



a -h (Ba-" -t- V •^■"' -+- ^ •^'"' -i- ^-^*" 

 rcfolubilcm cfTc in f-if^orcs rcales vel fimplices vel trino- 

 njiilcb ; (luotcunqiie ca contincat dimcniioncs. 



§. 4-2. Tradito igitur non folum modo fa^florcs tri- 

 nomialcs inucnicndi , fcd ctiam a<flu cuolutis fa<ft()ribiis 

 foniuilarum principalium a -i- {3 v" ct « -+- f5.v"-hy .V* 

 cxponciklum cf} , qucmadmodiim , \\ coi^iiitus fiicrit fii- 

 ft »r trinomialis dennminuoris N , in fbrmula dilfcientiali 

 -jp intcgraljs par^ tX hoc &(florc oriunda dcbcat dctcr- 



nuiuh. 



