THEOREMATIS ANALYTICI. 233 



Si vcro nunc huius .lequationis fumatur differentiale 

 orietur 



_ m(m— ,)[m--j) m — z ^m *^^ ^ -^ ^^ v'^ -*- ' Z 



+mdj{y'^-'d^'-'.j'z-{m^i)y'^-'-d'"-'./z) 



F:ida nunc tali combinaticnc aequationis (D) cum 

 lupenori (C), vt membrum prius aequationis (D) 

 a priori ipfius (C) , pofterius \ero a pofteriori lub- 

 trahatur , prodibit : 



j^^-^^d^.z-On-^-i^y^^.d^^.yz+^-I^L^^y^^-^d^.jz 



__ (m->-i>rTn- TTi-i^ ^m^ y* ^ ^//™. j"'-*-' S 



4- m dj{ y"^. d^-\ z-my^^-^d^-yz-^^H^Y-^d^^-^y^z) 



^mdy {-■a^-'^^ ^^ ^V"»-'^-'. j'z . . . j:: </"-'. j" z)— o 



pofterius autem. aequationis inuentae membrum efTe 

 zz o , iam fponte liquct , quum id nihil aliud 

 fit , quam ipfa formula (A) in m dj duda , confe- 

 quenter erit quoque 



_ {m-^,)m{m-,) ■m — 2^my*^ ^^ ^''". j"" -+* ' 5;— C 



III. Simili ratione demonftrari poteft efle : 



j'"+W'"+'.;2-(w;+2)j"'-^W'"+'.>'i:+'-^^^V"'^"'-^y2 



Tom.XVl.Nou.Comm. Gg atque 



