ilS SOLVTIO PROBLEMATIS 



Sit ergo primo q ~ i 4- A' eritque 



hh-ii-p^x)\^-\^pHi'^2p)xy-^x{\-p){z-\-p-\-x){i-p-\-{j.-^p)x) 

 quae euoliita praebet hanc fbrmam 



+ (-3 + 9 2f+xo/)p-72p*+9p')^** 

 + 4(i-/))(-i + i2p+io/p-6p')A'* 



+-4Ci-p)'(i + 2p)' 

 tum vero cft 



<7 + ^-^ — -2A-(l-p)(2+p + .v) 



^ + ^ — a — — 2p(2+A)(i -p+2 x) 



fl + c-^= 2(i+p)(i+a-)(2-2p + j;). 



Praeftabit autem quouis cafu , quo loco p determi- 

 natus valor afTumitur , lubllitutionem in priori for- 

 ma facere , ac tum denique euolutionem inllituere. 



12. Sit igitur fecundo ^'ii:— i — p-f-A", eritquc 



^^ = (i+2/)-^)'(3p(i+pj-i + 3/,)x'/+4A-(i-p)(2+p-^)(3p(i+p) 



4-(i-3/))ar) 



atquc a-\-b-c— 2a:(i— p)(2+p — a*) 



b^-c-azz-tipip-x^i^i-^-^p-zx) 

 a-^-c-b— 2(j+p){i-\-p-x)(sp-x\ 



Sit tertio q — — j ■+- x eritque 



hh={ I +P-aO'( 2p-( I +3P) -t)'+4( « -/)( 2 -.v) (p+x) (4p-(i -3p) X) 

 atque <7 + ^-f=:2(i -p)(2-jf)(p + .r) 

 /- + (;-«— 2p.v(3+p- 2 .i) 

 « + f-/;^a(i+p}(i-.v)(2/>-jr}. 



Sit 



