35^ D E M O T V 



Problema 85. 



Si. Iimcnirc iMtionciii amplirudinis tubi , in 

 quo aer minimas pcragit agitatione!» , \t motus dc- 

 termiiutio pcr priiViam loluendi methojum liiccedat. 



S o 1 u t i o. 



Cniti poflta tubi nmplitudinc Slz= A c-^'^^ 

 hacc nequiuio intcgrari dcbeat : 



j_ /ddvs flii^j) i_ TT i'^.?) _i *Ay ^3 iS^ 



c c ^dt* '' — KiS- ' ~^ ^~d~S' "^" dS adS Q.dS 



ftatuamus '■j =r L/: (S H- r /) -f- O \bi L ct O tan- 

 tum iun fundioncs ipfuis S, ct fadla fubfUtutionc 

 obtinebimus : 



+'-s¥/--(s+^-o+":^" 



Ms 



V dV 



dS 

 _ MZ __ 4 Q. _6dz_ dCL 



quac iuniftim fumta ipfi ^-i (^^^,^) - L/": (S + f ?) 

 aequari oportet : vnde nafcuntur hae acquatioucs : 

 • L '/i ^- L U n o 



■*'• dS' "^ ds 



TTT ddO _, UdO-t-OdU _ bdZ _ cUL — -, 



^*'- Js= "T Js fl-as Q.cis" — ^ 



quarum fccunda integrata dat ^^-l-LUziC, qu:ie 

 cum prima collata pracbct -^^:=:C, bincque 



cum 



as 



da 



L = aS + e ct V = ^^=.if,. Quarc 



Ct 



