i 4 o CONSIDERJTIO 



zWit) d^V(z-n) dzV(z-n) 



in hanc ~---J — ^j ; cum vcro fit j~^Z^r 



gyfr^Sp^i/ yi»-»^^-^) ctiam haecperfupe- 

 riora conlkui potett. Sicque m genere habetur con- 



ftruftio huius formulae / v fcvffi* -»-"7 * *-*■ fr W 



Problema i. 



Integrationem huius formulae / v WH -^.-w-HiaWJ 

 per arcus iectionum conicarum perficere. 



Solutio. 



Q_'antitatem a-\~bx-\-cxx-\-dx*-\-ex* femper 

 in duos fa&ores trinomiales reales refoluerc licet , qui 

 fint (oc-f-2(3.r-t- yxx) et (£-r- zex-\-%vx) , ita vt 

 habeatur haec formula integranda / v ^,^ y J^ CTgZj 

 Ponatur ^-fr-aer-^^.i-A* — (a-t-ap.r.-r-y.r.a:))', vt 

 formula propofita fiat J——r^~p£——-> At atquauo 

 aflumta per radicis extra&ioncm praebet 



e-\-%x~-py-yxyV(pyy-\-qy-\-r), 

 pofito /> rz (3 (3 - a y ; #:=:a£— 2(3e-hY^ > ct r=«-(3£. 

 Tum vero eadem differentiata dat : 



</#(«4-£#-p;K-YA7)— *^(a^2p*4-y.*#)! 



<fa \dy 



feu ' - ■ ■ 1 ■ — 1 ' 



Quare 



