De USU SITBTRACTIONIS ETC. 53 f 



1(1)^... ^1HJ-h[1(<.V... -4-1 ("-<)] pro [i(i:-^...^_iw]^ 

 ac aliud 



el ideo aequatio (rr) vertetur in 



(b) [i (i )-fr.T.Vi (")'l=[i (1).+. ""Vi ('')J-+-2[i (1) . . "':;^i («-i)] 



-H[l(1)H_.."'H-1(n-2)J 



Pariter cum habeantur 



|- m— 2 1 r- m— 3 -, r m— 2 -, 



Li(i)-+- . . . H-1 wJ=l.1(1)^- . . . _t_1(")VL10}-^ . . . -i-K''-^)], 



[1(1).+. . . .-t-K"- 1}j=[l(1)_j- . ...+-1('.-1)J_4l(1)^ . . . ^1(n-2)J ^ 



[1(1)^_. ."'_h1(«-2)]=[i(i)_^. .'"~^ir«-2)] Ji(i.v . ."! ^_1(n-3;] , 

 ex substilutione prodibit 



(c) [l (1)^- ." . H-1 (")]=[l (i)-h"7 ^-1 wj^-3[1 (i)-t- .""7^1-1 ("-I)] 



.+-3[l(i)-f.."!T-i-l('-2)] 



-l-[l(<)-f-.."-f-1C'— 3}] . 



Eodem pacto oblinebitur 



(J) [l Ci).t- ."! . ^-1 ('0]=[l (1)^. !"~ 4-1 («)]-,_4[l (i).t- .""-tl ("-1)J 



4_g[iO)h-.".-»_1('.-«2)] 

 -h4[iO)-j-.".-h1('.-3)] 



-)-[l(1)-H..'!".t-1(«-4)]. 



llaec iaduclio ad majorem perfectionem , si opus esset addu- 



ci posset . Exinde si formulae (a) , (b) , (c) , (<5?) attente 



perpendanlur , aequaliias super relata inferri poterit, et ideo 

 enunciatum dieorema innoiescet. 



1.6. Aequalitas (F) vero traduci potest ad 



