PROBLEMATVM. 113 



Quodfi has formulas cum cafu primo comparemus , 

 deprchendimus efle : 

 A(^-AS = ^AP-A(^)etQ_F-SH=:i(PE-Q.F) 



vnde manifeftum eft fore FH — 5EF ideoque FH* 



VI. Imejligatio dijiantiae punStorum G et VL 



17. Pro hoc cafu poftremo habetur: 

 AR-AS=^'-^— " -\c—'-^ 



» p _Q TT _ ' A cfaa-f-66-cc) _ {a-\-h)c *-f-(ag-t.&&)ee — {a-^i^aa-^hhY — (an— 6&j« 

 1\Vj Orl_c_^^^c'~ e A~ — (a _f. 6 _j_ c) A 



quarum binarum formularum quadrata fi addantur 

 repcritur lequens exprelfio ; 



G H'^ ,« (a^h^rA -^b^-^^*^'-i-ac-*-i-ab'(;-2a\-(;''2aac' ^ 



i-i-c'-\-b*c-tbc*-i~a'bc"2b'cc-2bbc'S 

 quac per a-^-b-^-c reduAa abit in hanc : 



abc 



^-T-a*-i-aabc—2aabbl 

 n -i-b^-i-abbc — iaacc^ 



^" '— i« (a-4-6-»-c)A a' - -4 



L-i-c*~{- a bcc-~2bbcc\ 

 Tflde fiida fubftitutione coUigitur 



QWzz^,[f-^ppq^^pryrj^^^Ui 

 feu GH— ;^-;-. 



Tom,XI.Nou.Comm. f 18. Eu 



