Resolutto aequalionis qualuor vncogmtarum. 

 quo substituto in valoribus pro y ct z supra inventis, habebimus 

 ,. y = .,„.<°7'^'^..- et II. z 



V{cd- (C-t- <!)<-♦-«) 



{d-t)Vt 

 V{ed—{c-*-dit-*-tt)^ 



ac addcndo et subtrahendo 



{e-t-d — it)Vt 



^ ~*~ ^ V{cd — {c-*-d) t-i-tt) 



et y — z = 



{e-a)Vt 



Hinc porro deducitur 



X 



V{ed — {e-+-d)t-*-tt) 



et f — x = 



V{cd — {c-i-d)t-*-tt) 

 (a— 6) V{ed — {e-i-d) t-k-tt) 



287 



^t ^" ' *" (e-i-d— 20 Vt 



unde, denuo addendo et subtrahendo, positisque brevitatis gratia, 



b -i- c -t-d — a = m et a-*- c-i-d — b = n 

 prodeunt sequentes valores pro f et o; 



,,, (n — 20 V{cd -.(e-hd)t-t- tt) ,^ (m — 20 V{ed - {c-*-d) t-*-tt) 



"'• *'— 2(c-i-d-20l/t *^"" 2(c-»-d-20Ve .."»^ 



Cum autem supra invenerimus h = vx — jz, hinc substitutis pro f, a;, 3^, z eorum valoribus 

 et facta evolutione prodit, pro determinando valore ipsius i, haec aequatio quatuor dimensionum 



y(/i-i-t)(c-*-d — 2<f=(m — 2«) (/1 — 20 (c — 0(^ — 0- 



sinijil Hkt bfi oift^f.J 



Jtli liii' 



