82  Mr.  button  on  the  initial 
attributed  to  the  fame  caufes  as  it  was  in  the  laft  courfe 
of  experiments  before  explained. 
Let  us  now  compare  the  correfponding  velocities  in 
this  courfe  and  the  laft. 
In  this  courfe  they  are  701,  993,  1397; 
In  the  laft  they  were  613,  873,  1162. 
Now  the  ratio  of  the  firft  two  numbers,  or  the  velocities 
with  two  ounces  of  powder,  is  that  of  1 to  1.1436;  the 
ratio  of  the  next  two,  is  that  of  1 to  1.1375;  and  the 
ratio  of  the  laft  is  that  of  x to  1.2022.  But  the  mean 
weight  of  the  ftiot  was,  for  two  and  four  ounces  of 
powder  28}  ounces  in  the  laft  courfe,  and  i8|  ounces  in 
this;  and  for  eight  ounces  of  powder,  it  was  28}  in  the 
laft,  and  18}  in  this:  taking  now  the  reciprocal  fub- 
duplicate  ratios  of  thefe  weights  of  fhot,  we  obtain  the 
ratio  of  1 to  1.224  f°r  that  of  the  balls  which  were 
fired  with  two  ounces  and  four  ounces  of  powder,  and 
the  ratio  of  1 to  1.241  for  the  balls  which  were  fired 
with  eight  ounces.  But  the  real  ratios  above  found  are 
not  greatly  different  from  thefe.  And  the  variation  of 
the  actual  velocities  from  this  law  of  the  weights  of 
fhot  incline  the  fame  way  in  this  courfe,  as  they  ap- 
peared to  do  in  the  fecond  courfe  of  thefe  experiments. 
2 We 
