Velocities  of  Cannon  Balls , See.  5y 
brought  to  a horizontal  pofition.  Then,  taking  alfo  the 
whole  weight  of  the  pendulum,  and  its  length  from  the 
axis  to  the  bottom  where  the  chord  was  fixed,  the  place 
of  the  center  of  gravity  is  found  by  this  proportion,  as 
p the  weight  of  the  pendulum  : w the  appended  weight 
: : d the  whole  length  from  the  axis  to  the  bottom  : ~ 
the  di fiance  from  the  axis  to  the  center  of  gravity. 
Either  of  thefe  two  methods  gave  the  place  of  the  center 
of  gravity  fufficiently  exa£t ; but  the  coincidence  of  the 
refults  of  both  of  them  was  ftill  more  fatisfaeftory. 
Of  the  rule  for -computing  the  Velocity  of  the  ball. 
* 
Having  deferibed  the  methods  of  obtaining  the  necef- 
-fary  dimenfions,  I proceed  now  to  the  inveftigation  of  the 
theorem  by  which  the  velocity  of  the  ball  is  to  be  com- 
puted. The  feveral  weights  and  meafures  being  found, 
let  then 
b denote  the  weight  of  the  ball, 
p the  whole  weight  of  the  pendulum, 
jg  the  diftance  of  the  center  of  gravity  below  the  axis, 
h the  diftance  to  the  center  of  ofcillation, 
k the  diftance  to  the  point  ftruck  by  the  ball, 
Z the  velocity  of  this  point  ftruck  after  the  blow, 
la  v the 
