116 



nt ct 



fimiliterque 



Hariini aequatioiium rcftimatur prima 



/aN^^x^R^S^ax — A.N"x:^+-^RP + ^S? + ^^. 

 quae dilTerentiala dat 



-h A(m-f- i)N^'x"*R.^ *-iS^^' ax 

 -4- A r/9 -4- I ) N^* x'^ ^ ^ R"- S' + ' D R. 

 •4- A(9 H- i^N^^x^^ + Ul^^^SQS., 

 Rft vero 



a R = f^ X -j- 2 ^ X r:) r et D S z= r D r -H fi t x 3 r. 

 Subftitutis ila(iuo liis valoribus ipforum R, S, dR et d^ 

 oricliir:. 



oN^^x^^R^S^^x — A^/i/iN-^^x^^-^^R^S-^Dx 

 -}-Ae;jrN''*> + "RfS«c)x-4-Ac;2tN = *x''"^RfS^')i 



-\- AfntN'' x^ -*- ^R^S^ ^x-h A gluiN' ' x"^ -^nVS^i i^x 

 AgnrN^^x^-^^^R-SidxhAgnlN^^x^^-^^R^S''^ 

 Ar;i'm+-i)N'''x"'RfS^:)x f-Acr(»n^i)N''^x'^ '-'R^^SMx 

 -hAct ;n» i)N'*x"+'-R''S-^^x-+-A//i j>t^ i.N^^x^' MVS^^i 

 •H-A/r(mH-i)N'*x^-^=RPS^^x+-A/f(;n^i)N^'x'"*-'R'S''ax 

 ^-Ag/i^mvi^N^i-^-^R^SQx-KAgrun^-ON^^x^^^^R^S^ax 

 -4-A^f ;n-4.r)N''^x'^'-»R'S'c).v-4-A//i(/jH-i)N^*x'"-^*R'S'ax 

 -|-A//(p-»-i)N'"x'^+«RPS''ax^-A/t(p-f-i;N'"x"^ + MVSQ.v 



