•^^.i ) SFt (( ^^ 



ex his iam valorihus namifcemur 



X - 3'^; vc: 12 ; j^-= i<J (+' +: V) '» « - ««> (^ ± V)- 

 Prouri igitur vel fuperiora figna vel iuferiora valeut, ob*' 

 tinebimus duas fequentcs folutiones ad minimo? terminos 

 redudas, fi forte habuerint inter fe comutiem fadoxemi' , 



K. JT-ir 39>; v — t^ ;^ ^t .a&; 2 :^ af,- 

 II. X — 3p; ,'y — ttfjyz-rr+S; « = isji 



quarum folutionum pfior firie dubio fimplices fatis nume- 

 ros Froblemati fatisfacientes fuppeditat. 



•§; i^a.. Videamus, quomodo prior Solutio omni- 

 bus feptem formulis fupra allatis latisfaciat 



I. 'V{xxy7 — z^t>'v)'=^\{xx-\'yy-^zz+v'u) — 'j20. 

 H. V {xxz si-^yy^<)) -^{xx-^-zz ^yy-^vo) r 94 5. 

 ill. V {yyzz — xxvv^-l^yy-^^z-z — xx-^vv)- i^6. 

 IV.y [xxyy—w^x ar+j/))- \ {x x^yy ^zs:--vv)-s^6. 

 V . y {xx z z — vv {xx-i-zz)}-l{xx -^-zs^-^ ry —v^)- So s . 

 VT. V {yy zz — vv {yy + z z]) - ■ {yy -^zz — xx —w] zz^^o^' 

 VlL y {xxyy + xxzp-hyyzz) zz \ {xx^yy-^ za -ir.^v} =: 1 345- 



Exemplum IT. 



quo />=: 5, r— I, yzi;:i3-, J=^ 



f. 13. Hic igitur erit 



*-^ = V et ?^^ := ?"„ hinc *-^ = 4 et l!r: ^, ideoque 





M 1 Fiat 



