JD AEgrJTIONES WCJLES REJ^OCJTIS.^9 



bus , oritur z a x -\~ hj ~\- e ~ 0. . A. Poftea e:idcm ae- 

 qu;itione difFereutiatii , cum z et .v manentes funt , pro- 

 iienit 2c-j~\-/jx-{-fz:zo. .B. Ex binis vero aequa- 



tionibus A et 15 elicumtur A*i:=:j,i_^ac7/ — 6»-^c> ^1^- 

 bus ia acquatione propofita furrogatis inuenietur Ma- 



6p/-+- 



-4.00 



xima applicata «zzy(-pzr^'^^ — ;• 



XII. Idem per communem Algebram quoque in- 

 ueniri potert: ae<-|UAtio enim quae propofitae aequipol- 

 let cj^— — hxj — ax^—fj — ex-\-z^yd\iAS rftdices ha- 

 bet, nempe 



zcj=z~i,x-f-{-V (Z>^ -^gT. ^t^H-^ ^- 4 (-• e- x-\-f *-4-4£-:5^). 

 uj—-b x—f- V io^-^a(;..x^-{-2i?J-4.ce.x-hf^^-\-A^'^^)' 

 In cafu Maximi hae radices, quae generaliter inaequa- 

 les funt, aequales lieri debent , quare fuint zcj^—lfX 

 -/, ye\j = ^=^, et J^^Vc:x'-^7l;f-^^.x-\-J- 

 -f- 4 -2^—0, ifta vero etiam duas radices habet, 



(^2 ^^c-)x—2ce-bf-\-y{^ef'-^cef-\-^c-e^ -b~ -^ Ar^c. 4^z-). 

 {b'-^ac)x—2ce-bf-V{^acf^ -^cef-\-^-^e^-b^-\-^ac. 4^2^ )• 



Aequalitas harum radicum praebet x ~ ^i^r jgc i.>(— ~^^ 

 — I'i^7 et ^acf^-^bcef-\-^c^e--b^-\-xnc.^cz'^ 

 ~o, et haec vltima definit in z^ — ii_^^i — > et zzi: 

 yC-t-^-i^). prorfus vt ante. 



Pofitio plani fuperficiem in quolibet eius pundo 

 D tuigcntis, per methodum §. VIII. traditam inuenie- 

 tur, fi in Tab. V. Fig. 2. huic exemplo appHcata ca- 

 Tm. Fl. G piatwr 



