MttRvh-Ad ^^ ^o/u corporum in tuhis circa puncttm fixum mohilihus. 121 



il. CorolI« 2* Ponatur altitudo debita celeritati corporis yerae *is w, «ri^'"*'^^ ^^..j^ j^^;; 



cp = p -— — 1- : 



seu ob zz=ixx^yy erit 



Sj/Vfu j/j/u /_/ yVn K* 



tr 



w-^=.—~-*---f=(y.-'-^). 



unde nt yi' =^—-"hry{w ^)''^ ^ '^ 



12. Coroll.3. Cumsit«. = .-^*-i-^, erii;""i"--" " .X .Ho-,oi .1» 



j , /idyVvii ydvVu yduVv 'izudz zzdu 



dw=dv r^ ^4-7 Vt • ::. — • — ^* 



^r fVv fVu ff ff^ 



At est r=^; unde erit dy = —> ex quo habetur ' ,, «^ aSo^io^ Si 



'^MzVvu ydifVu yduVv ^ iuidz _ a2dk.__ :*_^L~i\> 



fr fVv fVu /r /r 



'■'fir 



13. CopoU. 4. Quia est ds = ^ et da = -^-^, erit dots:^'—-^» «Fonatur bre^tatis^ gratia 



r\ ^ff /AT ^^ '^^ 2uy 4Vvu. .. 



, Jztfz Syzdz 'iuzdz Qyzdz 



dv ==i- 1 — H -+- V, ; 



a» fx f Vf 



, SzdzVu QzdzVu 





Pressio vero, quam tubus sustinet in directione normali MP, erit^=— — Q. 



Jj) sbnij 



()gi«> 



14. CopoU* 5« Si isti valores in expressione differentialis dw substituantur, obtinebitur se- 



quens expressio \^^^__.ysu. h ,_ *^« _- '''^ "^' 



1 Tzdz Syzdz 'iuzdz Qyzdz 'izdzVvu TyzdzVu SyyzdzVu 'iuyzdzVu QyyzdzVu 



X fx Y~ f l^ W^ If^iVv f^Vv f^Vv 



Syzdz , Qyzdz 'iuzdz Sz^dzVu Qz^dzVu 

 fi /r "* ? ^ fr<»>Vv "^ f^Vv 



Qua reducta obtinebitur .^ 



■t Tzdz ^ yVuy^ Auzdz luyzdzVu SxzdzVu ^zdzVvu QxxzdzVu 



^^ — ~^\^—'fV7f^~~T~' 'FV7~^ JW^ /y~^"^ f^Vv •'* 



IVHcltu 



15. CoroU. 6. Quia est vis viva totalis =■ v~^Aw. erit incrementum vis vivae 



fT 



<j Mkhdu ATzdz , yVu. AAuzdz ^AuyzdzVu ^Az.dzVvtk ASxzdzVu AQxxtdzVu 



tr x ^* fVv'"^ 'ff f^Vv Jr ' JTv * f^Vv 



MSkkzdzVu MQkkzdzVu 

 ffxVv f^ Vv 



L.Eoleri Op. poftbanuu T. H. 



16 



