132 DE MOTV LVNAE 



Qxx-\-nnx—V ~ Qpp +• 2 Qpqcof. oi + Qqqcof w* 

 H-»»p + 0H£co£w 

 -P. 



Hic ergo ponatur 2 Qp 4- «« :n o et Qqq~—Qpp 

 — nnp-\-V vt fiat V(Q#x-|-»«tf— PJinfin.w^Qp^ 

 H-»»/>— P)r+^fin.(oy-Q. At ob nnp=-zQpp y 

 habemus Qqq^Qpp-i-V, feu 



0==*?=*? = TF" 1 vndc fit —T— = 2P,et p-=- 2 Q: 

 Quare altera aequatio hanc induit formam: 



-yPr-^Gn.wV-Q, feu *£V(pp-qq)--qd(pn'n.<& 

 vnde colligimus : 



. dp^dqcot. *-q ^fin. o)^ - ,l '; ;; J :y -, 



Hinc fingularum quantitatum variationes momenta- 

 neas ex difterentialibus cognitis d? et */Q aflignare 

 poterimus. 



i°. Aequatio n f=z-zQ dat ^— a^Q, ideoque 



"p— tt • 



2 °. Ex aequatione ^pi> =2 p f e u^= jf, fequitur 



^i#'^tt#, fcu qdq='-*!l*±2l-lg 

 vnde ^l^tft^teS*. 



3°. Hi valores in vltima aequatione fubftituti 

 dabunt : 



appiQ, , fl fH-gg^Qffl-fo pctPcofia r r —q(p -wtf.t>J)d$firu» 



vnde 



