122 M(AV\u\oi« tl EULERI OPERA POSTHUMA.^ ^^'^*^ >^^ Mechaniea. 

 Est vero ^" ^,^^ h ^,^^^ = {Axx-+-Mkk)Q-^--jy-^ 1 ^r jy^ 



' ^^AuyzdzVu AAuzdz 



Quamobrem erit incremeiitum vis vivae^,__ •rArv.t _ 



^, JWJtftdt* ATzdz ATyzdzVu AN zdzVu MSkkzdzVu, 



16. Copoll. ?• Si ex aequationibus elementa dc et da exprimentibus eliminetur (2, erit 



j T7.dz %uzdz yduVv. 



. y. **4- -« — ^ . ;r — f/ii — '^i — ^'" 



17. Copoll. 8* Sit Y^ — ^ erit iuJodBil oup - ■>' 



, du dyVu j.iSzdz Qz^* .TtdxVu Syzdz.Vu , uzdzVu QyzdzVu 



2VW ' ^vVv^~ 2«f'^ "S/V" "^ aaj^Yi» 2f^vVv ""Jvy^ 2^VVV~* 



Bijr/r^%H.i3S*e™Pl»rt*« .Eyanescant oianes vires solHcitantes T, iV et i^j erit'^ .lloioJ Kl 



y, ' Mkkdw- ^ y >■ ■:■:. j Mkku ^ j 



unde tit «»==c— — n^4--^ = c -— > 





r / -'^- ' ;yyS — ">' ^ i>a?K Mkku. l 



-/ »>^«* -i// »««* ^**Mx .1 f ^ if ^ir ^ J 



ereo y(» = ^ i-y(c.T— ) et -*r- = — ^ ^^ — • gM 



f O ^ ' -_^^iiv) /\*/ ilr.f/non '.Milr.nii) \\\^f^\UAii, ■^.Mkku., x\^ .on/ oi8«oi«^ 



' AX f Aff 



Ex his filnuhlo , inlfliJiJliJ<?x(ii8 '«\> 2iir>iJfm^»lViIj onoizzeiq/.'» fll 8'jiol67 il«i i^ .o .IIoio:> . ; J 



(!«■/•» ydu du ,, xxu Mkku. Qzdz oi22'nq/0 iinouj 



u f : b : v.\j9 «^f «b :V!"S mV cbs \i\j^ «y =bc vjV M A;b:k __ cT* : \|l) =J»^!«^ _^ f" ^ , '^ ~% 



at est. ' v>, .. — — -^- -- • -- ;^"r'.'v' •.> -^^ "^ * 



, f s-v ., j '• , '» r-.v.\\ ' ' ; \ '\ Vv ■ 



^ ^v 2«i/ ^yfi» 2(tf« — a:a;)«« 2c 2itri*tt 4«.,// ^ , a?a?Mit Mkkuu^ 2i«i/ 



^ -Vicu '''"'*** ^^***** v infiffoniMo nbiHm oi 



f ^^ ff Aff > 



,.,.,,,> .;'•:. ■•:■.■.. \ V ■ ■' \ -\\\ ..IV V - '■ 



Cum igitur sit OM=i 0/^ = z; ~OT=iy; ^T= a?; sit OS^^a 05=/; C5 = g, eriti'*^^^; a 

 Sa = d0 et mu = ds; erit un = — > et so = d6 -—dq: unde . ..«^^-k , i 



— - .--," -- -t ■-,■.: -■ ' .,,, ' z zz ■ ' ■■ r\ * ' •»•■ A 



- j fyds zdzVu f^dz • , d(7 Vu ^ 



ereo aq = aa — — ■= — -7- > ob — -=-r-» 



o ' zz xVv xz ds Yv 



i)! 



