2 36 DEMONSTRATIO SINGVLARIS 



de/isnent fun&iones 'quaTcunque Jimiks ipforum x e; t , 



,alque ponatur v]^' t — ^-^J^-' erit : 



Dcmonftratio. 



Q\n\m fit / — .v-Cp.v, fi v|.'^ figniricet fiindlio- 

 ncm quamcur.que ipfius t, erit vjy ; — v{y (a- - (J) x), 

 ell vcro 



hinc ergo habetur 



vi.;-viy.v-(p.v ^'.v+=^-^t--^i^^'''dt'^+ etc. 

 Tum Ycro fi loco ipfius \]/ t fuccefluie fubflitumtur 



habcbimus quociue 



d. $ f-. 4<' 1 d. (Dx-.v }>^ jc _ 4 axdd.0j c-\j^ , (}iy'd». J)x» <j/' a_ ^^^^ 



1. 2 cif — i. i dx .. 2 djc' 1. j. 1. 2 d jc' 



d d. J) /^ vj/ t dd.(ii x ^^x _(^x d\<^ x^ vi<'x , (}) x-. d*. $ jc^ v|;' jc _ ^^^^ 



CtC. 



Fun(flionibus autcm his ipfius ; iii vnam fummam 

 collccflis obtincbimus: 



