Produces  will    be  J  89.68  which  divide  by  2 .  r*  ■
th^Sum  of  the  Errors,  and  the  Quotient  will  be  42.  J

P  P  *  which


44j6  Doub&Pofition*

which  alfo  will  not  (for  the  Reafon  given  in  page  ^t^
anfwer  the  Conditions  of  the  Queftion,but  will  be
very  near  doing  fo,  for  upon  trial  it  will  be  found  to
produce  fo  final!  an  Error  as  .0187  which  being  fo
fmall  in  Exccfs  makes  it  plain  that  the  Number  42. g
is  but  a  little  too  much,  and  therefore  without  pro-
ceeding any  further,  there  is  great  reafon  to  believe
that  42  is  the  Number  fought,  but  in  order  to  become
more  certain  thereof  without  trying  it  by  the  Quefti-
on,  and  to  fbew  the  learner  that  the  further  we  pro-
ceed the  nearer  we  (hall  get  to  the  Anfwer,  let  us
proceed  with  the  Error  .0187  and  the  Number  that
produe'd  it,  along  with  the  preceding  Number  found
viz*  44  and  its  Error,  according  to  the  Rule  in  page
432  viz.  the  Errors  being  of the  fame  kind,  therefore


From  42.3 X. 12^=5. 076,  y^      (42  nearly

Take  44X.oi87=.  .8228
and  the  Dif.  cfl    — -    .0187        .12
the  Prods,  will  be  J  4.2532  which  divide  by  .101*
the  Difference  of  the  Errors,  and  the  Quotient  will
be  nearly  42  and  which  will  anfwer  the  Conditions  of
the  Queftion,  confequently  42  is  the  Age  required.
