:;4^ DEMONSTRATIO SlNGVLARlS 



qnacrirur vt cx Iiac ncqiiatione , valor ipfuis .v pcr 

 (ericm mera? qiiantitatcs conluintes inuoluentem ex- 

 primatiir. Cornparaia autcm hac acquatione ciim 

 ilia generali : 



.V rr r + Cp .V 

 cuidens cft , hcic (\atni dcberc / = ^ et 



^ .%' ~ b x" -\- £ X -h d X -\-e .v' + ctc. 



ideoquc 



<^ t -=ih t^-\- c t' -\- d C -\- e i^ -\- etc. 



tum autcm vi Tlieorematis habebitur 



— /_l_Cp;^_^'/ ,^d.i.4^;'^_u^ 0! /* 



vbi nimirum pnfl: per;i(fl.i8 diffcrcntiationcs loco t 

 fcribi debet a, Non vcro (olum valor ipfuis radicis 

 x^ fed etiam potclbuis ipfuis vcl alius (undionis 

 cuiuscunquc , hiuc adi^nari poterit , fic cniiii habc- 

 bitur 



d.(^rr-' /r/.4)i*.r-' /.ct5/\/"-' 

 A-r+;«.0/.r-H— ^^^— + —,-d7- + -=737 ^'-^^^^•) 



XII. lOum vcro bas cxprclhoncs ;i(ftu cuohio- 

 re conabimur, ante omnia nccc^Tum cft , vt valor 

 ipfuis CP /'' per (iiriem cxprcffus inuclligetur , quum 

 igitur fit 



(^ t — t t {h ^ c l -\- d t' -[- c t' -\- ctc.) , crit 

 (^ t" — r-"(Z;-i- c t -\-dt'' -htf/'-i- etc)" 



ez 



