FLVIDORVM LINEARL ^91 



Coroll. 2. 



80. Cafus quo X=:2 feu /=2/ fmgula- 

 rem poQuIat euolutionem ; quia aequatio a u 



m 



a 



^gccmdm — o integrata dat u :::z j^gccmm l 



d m 

 ^ic^^ hinc ^-V^gmll et ^-^-/y:)^^^' 



pro prefTione vero p^zzk-^-^m -^ s)l'^, 



C o r o 1 1. 5. 



81. Sit tubus conus ad orificium ^truncatus , 

 ct \k zn [f -^- OL m)\ atque 03 =z ( /" 4- a x)% hinc fit 

 f^dm ^ j_ 1 — — _3 , fimilique modo 



J -^ a/ a(/-HaTn) /(/H_am)' * 



/:<lir: — - — r. Pro motu eri:o habetur : 



^U''''~{i-^''—f ^^gmdmif-\-cjLm)^:izo 



vnde inuento « erit f^ 'vvzz. • ^^^"^" "" ■ • ". 



C o r o 1 1 4. 



82. Expandatur tubus fuperne in infinitum 

 fecundum hanc aequationem 03 w = t^s •> ^^^ ^^ ^^^' 

 tio fuprema fuperficies A a fuerit infinita ^ eaque 

 etiamnunc nihil fubfederit , vt fit elapfo tempore t 

 altitudo m- a et \k ^zz -^— - ^. Quam ob cau- 

 fam aequatio differentialis ftatim praebet vvzz^^gt/t 

 -4gfl;, ita vt aqua conflanter eadem celeritate ef- 

 fluat. Quia autem hic motus effluxus efl vnifor- 

 mis ob ^ - o prefTio ad s 1; ex aequatione primum 

 inuenta ita definitur : 



O O 2 2g 



