io3 



PMf 



SP"» — P(S'— F')X + SCP — Q) I Y + S(P"'-Il') } Z + S(P'^— ^T^ 

 I— PS^"" —PCS' — Q")! --P(S"' — R") 



0. + S (P"'- W) 1 gj 



.p(S''"— W'') 



_j_ s (P^'_T) I ^ + S (P'' — U'} 



5) o = 

 TP^"'— P(T— P^)X + T(F-.Q) |Y-f-T(P"'— R')|Z+T(P>^— S') 

 l^p^vu. __P(T.-Q^)| — F(T" — R")! _P(T"' — S") 



+ T (P'i- T) ^ + T (F" — U) 

 — PtT^ — U") 



Sl + T(P"'-W') ,gj 



6) o = 

 Upvui_p(u'_P")X + UCP"-Q) I Y+U(P"'— R') IZ + UCP^—S)! 



I_puvu. -.p(ü'— Q^';i — P(u"'— R")[— P(u'^— s";i 



+ u (P'— T) 



— P^U'' — T") 



gj ^ U (P"— U J ix + U (?'■"— W I gj 



7) o == 

 WP^"'— P (W— P")X + W(P"— Q) |Y+ W(P'" — R') 

 |_ p w^'^' — P (W" — Q^") I — P (W" — R"') 





Ex hls sex aequationibus, Junctis cum prima (i), detenmnandaesnnt Septem 

 quantitates X, Y, Z, X, ?>, ü, 9t. Qiia determinatione snpposita, (quae quidem ex 

 re^ulis tliminalionis vulgaribus caleulos admodum loiigos poscit, de quormm 

 compendiis infra sermo erit), istae quantllates habendae sunt pro functionibus 

 ddtis octo nostrarum vaiiabilium. Quod si nunc, suppositis a, b, c, . . . h con- 

 «tantibus, ex Septem aequationibus auxiliaribus: 



dx = Xdrt i " 



dy = Ydu 



dz = Zdn 



dt=!ldu 



