DE CALCVLO INTECnALI t6$ 



cfl xy^-^^J j ^'^^ R— JI^— 4^JS Xir-s, & ^'Cr=2/7Ar)f>'ir 

 -f-r.rvjK^'— ' ^.r— 2f r)(r^y— 4^^v.rj^.r-f- &c. & aequatio 

 canonica fiet , </K=— M^-f-R^M. Eft vero dR—zydf 

 ~-4^ydx-/^xdy . Refpicio nunc ad omnia membra quantitatis 

 </IC,quae per j^.r dividi poirunt,& pracfcindendo a difeffi- 

 cientibus & fignis, inveniuntur quoti xy^yy^ xx^ y. Po- 

 no ideo 



M:=:Ay-4-B;^-4-CTA:-4-Dj7 , & mveniemus aequatio- 

 ncm canonicammutari in aequationem 

 '^^axyydx-\-cxyydy~cy'^ dx—^ccyydy—^xxydy 

 -^^ax^dj-^-h ccyydx—2axxydyzz.'\-2Cxxydx—^xyydy 



-H4D - 

 '^^y'^dx^Ayydy—j^Cxxydy-\-^Cxxdy'\-^Kyydx 

 M-6D 



—zCxxydy—zDy'^ dy 



Ex comparatione terminorum eliclentur A=:i2<;r,Bn— ^, 

 C=^, &Dz=:<7, quare ^tM^2ccy—cxy-\-axx^ adeoquc 

 i{:=JMr')=z{2ccy^cxy-\-axx) : {yy-^xy). 



ExempJum 12. 



Si dicz.{j\xyzdy—xxzdx-x'^ dz-\-2xy ^zdx-\-2xyzdx 

 '^Zy^ zdy—ciy^ zdy—2y^ dz—x^ zdy-\-xxydz): 

 (xx-2xy-{-yy). 



Erunt dK—^xyzdy—x^zdx—x^dz-{-2xy^ dz-\-2xyzdx 

 ^^y^zdy^Qy^zdx—^y^dz—xz^dy-^-x^ydz-jRzzx-yjX^in—Z 

 adeoque «quatio canonica fit ^Kzr— M^-HR^M. Iux- 

 taluperiorainvenietur fumendumeffe MzzAx^ z-\-Bxyz 

 -4-Cj^2;, ope huius mutabitur canonica in aequationem 

 cuius termini homologi inter fe comparati praebebunt 

 A=:-i , Bz=o, &C=:2, adeoqueM— -xraH-2j/2 , & 

 u{:=MBi~'):=:2yyz-xxz : x-y. 



X 3 Ex^ 



