5iO Aloysii Casinelu 



Methodo {a. alils dissertalioaibus adhibita habebiraus aecjuatio 

 nes auxiliares 



36a^Z. --+.36C V^-H3Ga V-'-4-36i ^c-2_t-l 44aZ.c J=P , 

 ZOa^b -t-lSOa^Jc^ _Hl20fzi3t/ ^ 

 -30c: '6 ^\mb'-ccr- -ir-n'dabd^) 

 -"hOh^c ^nOac\lY~ ' 



<-i-30dic -t-120a3c</) 



et hae quatuor aequationes sufficiuat ad determinaados valo- 

 res elemeatoram a , b , c , d . 



Atque ut id obtineatur modo quammaxime simplici ponalur 

 a = in — p, b=zji-+-q y c=^in-^p. d=:.n — q, et superiores. 

 aequationes reducentur ad 



Z4jnn-^2ipq=P^ I." 



24w»3-4-24p3_j_24«V2473=P3 2.'» 



480m'n-H4807i<;?i-H480/)<^4-480/?r/^=p5 4." 



Sit porro aequatio quaesita 



x^—\ 2Bx'-+-8Cx3_36Dx'4-9GEa:— F=0 

 et erit 



Po=24B 



P,=24G 



P,=288B^-4-144D 



P5=480BC-f-480E 

 unde 



nin-^q-==R 1 ." 



m'^.Jr-n^-¥iJ^-^q^=Q. 2." 



/n«— ;j(7=j/B2-+-D 3." 



i»<n-f-»m<-f^yi_f^<y=BC-f-E 4.« 



Ex prima et tenia harum aequatioaura habemus 



