DAS SciENCIAS DB LlSBOA. JO/ 



DiflFcreiíciando efta equação , a fim de conhecer a re- 

 lação entre ( r ) e {m) , teremos 



y - ---(jy-+-jy-Hy-Hy-i-&c.)-)--~-(»ír(i-i-i + i4-i-t-&c.) 

 m ' m rax ^ -' 



-^ 2 (m—mr) -^2 (m -ir-r — m r) ^ 3 (m -i- jr — mr) 



•+- ^(m-h2r— nn-y -hScc. -^2 7nr (m—mr) . . . 

 -h2 mr (m -^r — mr) ^ 2 m r (}n-i- 2 r — mr) -\- &c.) 4- 



'^4{m^ 2r — mry -h8cc. -^-^mr {m — mry . . . 

 -^ ^mr (m-^r — mry -^ ^ m r (tn-^ 2r — m ry -H &c.) -^ 



■+- j: (»í -*- 2 r — w r)"* 4- &c. -<-4»í r («I — »jr)' . . . 

 -f-4wr (»i-*-r — ffjr)' 4-4wr(wH-2r — iwr)' 4- &c.) 4-^ 



*■ d y 



~7-^„ ;; ( («■+■1) {ni—mry -^{ri-^í) {m-^r—mry 



1.2.3 • • "•'" ^ ^^' 



-H &c. ~\- nm r (tn — m ry -^ -^- n m r (m -i- r — tn r)"-> -\- &c.) 



Donde fc deduzem as equações feguintes . . . ■ 



(1") W=;i-l;-x-t-l4-l'+-l4-i-l-i-+-i4- &c. 



.V cl y 



(2" ) ; — (2 (?« — »; r ) 4- 2 ( »; 4- r — mr) . . . .• 



m- rax 



-t- 2 (w -H 2 r — «/ r) .-l- 2 (w 4- 3 r — w r) 4- &c. . . . . 



4- w; r (l -H I -i- 1 -4- I 4- &C.) ) =: o 



4-3(>;/4-2r — wzr)'4- &c. 4- 2 7«r (wí — ?«r)4- '. t • li 

 2 ?«;•(;«-+- r — W2 r ) 4- &c.) =: c 



Sffii (4') 



