5S P R O B L E M A 



$6. Ob hos numeros tam grandes problema 

 eo mag s efl: attentione dignum , quamobrem ope- 

 rae pr-tium vi etur , adhuc aliam eius lolutionem 

 etfi particularem proponere. Pofitis igitur quatiior 

 quadntis quaefit s v v^ x Xy y y^ zz, primo has duas 

 tantum conditiones confidero : 



«yi74-yy + ^-2 — o et xx-\-yy-\-zz:=:a 



quibus vt (■iti^faciam , afflimo binos numeros a et a 

 Yt lit aa^ OiOL^AAy ac ftatuo 



vv +yy -\- z z — ^i^!L±iJ^- et 



a 



X X -{- y y -{- z z z=: '^-^^^ 

 vt vtrinque eadem prodeat aequatio 



aa{yj-{-zz) — oia(vv-\-xx)-\-2aAvx 

 fimili modo pro binis reliquis conditionibus ponO 

 jy-{-vv-\-xx— ^y — "^ 



oc 



zz-^-vv-i-xx — LLzijy . 

 prodibitque hinc 



asL(vv-{- xx) — aa^yy + zz^^—zAayz 

 quae duae aequationes additae dant ,,, 



avx^ayz; hincque 2 — 5^*.., ,.. 



qui viilor in piiori fubftituatur fictque 



aajv-^-^LUiJif^^aavv-aaxx — zaAvx—o 

 feu aaxx(^vv—yj):ii: 2 a Avxvv-i-aavvyy—aay* 



.t - 



quae 



