34o OpuscntA 



tunc limes quaesltus major erit quavis harum quanlitatum 



m--w in--to' n-'v" in--w" 



Vz, Vz', V z", V z'" .... 



Hariim prior sit maxima, vel saltern nulla minor^ quod li- 

 cet siipiioneie, quum nihil staluerimus dc disposilione ter- 



minorum 



_Zx" ^ — Z'a:-",— Z"x"-, — Z'"*""" 



m--(u 



Qnoniam qnantilas maxima V Z, quam denotabimus litie- 

 ra M, non sulUcit ad reildeiidiim 



a-ni>Za:»-4-Z'x"'-f-Z"x'""-+-Z"'x<-"'4- , 



ad hoc reqnireUir quidam valor (i_f-p)M, ubi designamuj 

 liltera /; qiiantilaiem positivam delerminandam. 

 Sumpla x-=(^/j-^ i)^i, trit 



X = M (p~i-1) ^ et 



Z j»_f_Z'j:'"'4-Z"a:«'"-HZ'"j;''"' -H 



=:ZM V-Hl )" -f-Z' M "'(/;4-1 )"' -t-Z'-M*' (/;+1 f-\-Z' ' 'M"""o,+.1 )"■"+ 



Sed propter relaiiones 



m-'W in--w' m--u ' 



V Z=:M , V Z' noil >M, V Z" non > M , etc , 



ent Zr=M ^ Z' non >!M ^ Z ' non > M ^ etc , 



atque ideo Z a-"" -f- Z'x"'-^ Z"x'""-f- Z"'xo'""-f- 



non >M"'{ (;,-H l).i.-4-^/;4-l }"• 4- Cyj-l-l )<"■■-+. (/j+l)'""" 4- I ;. 



at (,p-h\ ^ ~h{p-+-^ )"' -h (p-h'iy-h ip + 'iy"-^ 



non>{p+] jn.--l +(p4-1 j^-^-HCp+l )n-34-.. . .+(^-Hl )^+(;'-i-1 )'+(^-+-1 )* 



(„4-1).n_l 



sive non > _-' . ; hinc 



Cp^-Hni 1 



Z,j;"4-Z'x-4-Z"x»'"-+-Z"'x*"4- iM)n>M'"^^-^^ • 



Erit ergo x'n>Zx" +Z'x'>' '4- Z"x'""-|-Z"'x»'"'4- , 



quae inaeqnalio transformatur succesbive In 



(^4.1)m4-1_(^4.1)m>(^4,1)m_1 , Qj + I )n. ( ^_t_1 _2 ) +1 > . 



Haec conditio impletur sumendo yo+ i =2, quia obllnelur 



ni--a» 



l>Oj ergo a: = 2M = 2 VZ reddet terminum jt" superiorem 



