= (37)== 



Quin etr.im fingulos ho< valorcs per qu:mtitates conftantes 3(, 

 JB, (S, etc. multiplicarc liccbit, ita vt pro lecandis habeatur 



^ = 91P-f-93P^-4-G:P''-}-© ?''' ctc. 

 pro Traic(floriis vcro: 



^ zz: 2i P H- 35 P' -f- (E P'' -+- etc. 

 -HJ2(Q-h5$SQ"-f-5GQ"''-h etc. 

 Ynde patct numcrum folutionum in infinitum facilc augeri 

 poirc. 



§. 6q. Cum igitur quaelibct fundio T ccrtos valorcs 

 pro P et Q fuppcditct, cafus fimphciores euohiamus, quibus 

 characlcr F denotat fimphccs potcllatcs , quos fequenti modo 

 exhibcamus : 



I. Si r— ( )• critPr.v et Q =:z y. 



II. Si r — ( )' erit Pr:A-.v->'j' ct Q-2jr/. 



III. Si r=( )' eritPrjr' -^xxj ct (^-^ixxj-j'. 



IV. Si rr:r( )* eritPrA-* -6xxj'j-h}'* et (^-Ji.x\v-^xj\ 

 V. Si rrr( )' eritPrjr' _ i o jr'j'j' -f- 5 .vj* 



et Qr 5 x*j — ioxxj'^-\-j\ 



VI. Si rrr( )* crit Pr.v^-is .v^xr-h i 5 ^A-.r-j" et 



Qr 6x^r- 20 .v'j ' -h 6 xv'. 

 VII. Si rrr( y crit Pr a-- - 21 A^rr-hSS .vM*-5.vv' et 



Qr Ar*j — 35 <l' -h 2 1 .v xj' — j' . 

 VIII. Si rrr ( )' crit^-x^-zsxyj-h-joxy^-^sxxj^-i-j* 



ct Qr Sx\y — 5 6 x\v^ -h 5 6.v'j'' — Sxj'. 



IX. Si rrr( )• erit Pr.v»-36.v"».>'-t-i 2 6A-'j'*-8.f .V.r^-f-p.v;* 



ct Qr ^x'j-8^xy-h 1 26x*j'-3 6.v.vy-f- >'. 



X. Si Frr ( )'" Qrir Pr.v'°-4.5.v>>'-+-2io.v>*-2ic.v:;'''H-45.VA-> '-;''" 



et Qr I o.v^'— I 2o.v[;''V25 2.x'^'— 1 20.Vy''-i-i ox;) '. 



E 3 §. 61. 



