112 



PROBLEMA ALGEBRAICVM. 



4-etc.), vndefiet z^^^-f A/«"-^+B Z^^'' "*+€/«'' -'+ ete. 

 zr^Cz^^^-^+ct/w^-^ + p/z^^-^ + Y^V-^+etc. ), cuius 

 aequationis indoles et natura erit naanifefta , modo 

 valores coefficientium A, B, C etc nec non a, p, y etc. 

 rite determinentur. Hunc in finem , ponantur euolui 

 {z-\- 'vy ^ iz-^-vf"'' Gic. et pro^*,/,^* adhibeantur 

 217, s'i;', ^''y' erc. , quo fadio orietur 



s"-fw2''-''V+^^^^^2"-*'y'+ 'L^i:!^z''''V'\-''-^^^';~^^ 1?*+ ctc. 



^Az^^-^vHn-^lAz^-^v+^^^^Az''-'^"'^^!^^^ 



^ B «"-^^^'^(«-^^Bs^^-^-y^+^-^^^^^^iOB^s^-^-y^+etc. 



+ Cs"-^i;'+ («-<5).C5;"-a;*+etc. 



+ D^i^-^-y^+etc. 



Comparando nunc fingulos inter fe terminos , 

 in quibus 5; et i; ad eandem euehuntur dignitatem , 

 inuenimus : A~ — (« — i); 

 B--i-^5:^^-(«-2).Az3Ci.i^"^^ C-i-"<"7';-^^^ 



fimili ratione definiuntur 



'*-'"■ I. 2. 3. + i t. 2. 3. 4. 5 



Hec noQ reliqui coefficientcs. Ipforum autem a,p,y etc. 

 indoles eodem prorfus modo indagatur , adeo vt fit 



rv,, (n — 6).(n' — 5).(7 i — ») . > _(n — 8).(n — 7).(n-6).(n - s) 



y ~— . - , w— — • 



* I. 2. 3 >• 2. ?• 4 



His 



