NVMURORVM. 6°y 



Ponamus in hunc finem : 



~ vv-t—uu w( x-i~y\ 



xy-vvznuu^n fit^rr— ^— et zzz ,, •- 

 erit xyzzvv+-uu et x+-y= *2 ±^± ** 

 efficiendumque eft , vt fit 



«»+««-{ ^Hxx — Qnadrato. 



tf Ponatur # — /-»} vt fit ^-Z- 7 '^" - , effeque 

 dcbet 



vv ^ uu ^^ill^L±l^ - Quadrato , 

 feu mnltiplicando per ttuu 



ttuuw+ttu*+v\tt+- 1 f+- ittuw'tt+- 1 )H-«*= Quadrato , 

 fiue v*(«-f-i)*-{-a«w(3//-i-2)-l-« + (/^-{-i)=r: Quadrato. 



Statuatur huius quadrati radix zzvv(tt+-i)+-suu 9 

 erit 



^v(3?^4-2) + «a(«4-i)r:2^v(»-M)-r^a8; 

 vnde elicitur 



_"l> ff_|_i_SJ /-_ J • _ 



£_ ^^(ff-t-.j-rrt^ 5= Quadrato. 

 Sit porro _"___/ — r, et habebitur : 



vw ___ arf- rr-f-i 



Multiplicetur numerator et denominator per zrt-rr+ 1, 

 vt fiat 



____ (Srf-rr-t-Q* 



«u— 4 r) + -2UT-+-3r-i)f s -+-U»" 3 H-3rr-|-ir-3jf!-2(3r-iXr-+-i)r-4-2tr-,Xr-f— ) s 



7. Tota ergo quaeftio huc eft perdudta , vt hu- 

 ius fractionis denominator reddatur quadratum : pofito 

 cnim 



+rt*— a ( 3 rr+- 3 r - 1 )** 4- ( 2 r*-f- 3 rr+- a r- 3) # 

 -a(3r-i)(r-t-i)*-t-a(r-i (r-hi/__-QQ 



I a erit 



