Principle of the Screw to the Floats of Paddhrwheels. 255 



= i py^ { 1 P cos d0+(a cos 2 log (l + ^W 



f« 2 cos 2 0-r* a . _ lP Jh \ 



+ 1 cos 0. tan f~'d0 r 



J r r J 



between proper limits, 



-I ft®*'* {J { VV 2 + 2flr-M 2 cos 2 0-a cos 0} cos d<9 



+rflcos 2 fliog{i+ ( /r ' + ^ 



Cj^^^l.^A fan -i/ ^^+2ar + ^cos 2 ^- fl cos^ } 

 The moment of the resistance on one float 



- 1 p )( »V I (T(p dp <70 + 3fl cos rfp <#) 

 + jj r»+p^ Pdpdd 



_cc3ar*co S e-c?^e dpde ^ 



between proper limits, 



= i Pi ® 2? ' 3 { f (*P 2 + 3a P cos e ) d9 



_C3^cosg-^cos^ tan _ 1 p ^| 



ip^Vl 



^/r 2 + %ar + a 2 cos 2 + 5« cos 



j v/r 2 + 2tfr + a 2 cos 2 0-acos0U# 

 r 3g 2 cos 2 ^-r 2 lQfy f 1 + f / \/r 2 + 2ar + fl 2 cos 2 6>-acos6> \ 1 2 1 ^ 



