The construction of the wonderful canon of logarithms

14 Construction of the Canon.
9p contains, besides radius which is
P the first, fifty other proportional
o numbers, the last of which, if you
^ have not erred, you will find to be
9995001.222927 9995001.222927.
[This should be 9995CX31.224804—see note.]
1 8. TAe Third table consists of sixty-nine columns, and in
each column are placed twenty-one numbers, proceeding in
the proportion which is easiest, and as near as possible to
that subsisting between the first and last numbers of the
Second table.
Whence its first column is very easily obtained from,
radius with five cyphers added, by subtracting its 2000*
part, and so from the other numbers as they arise.
First column of
Third table.
In forming this progression, as
1 0000000.00000 the proportion between 1 0000000.
5000.00000 000000, the first of the Second table,
9995000.00000 and 9995001.222927, the last of the
4997.50000 same, is troublesome; therefore com-
9990002.50000 P^^^ ^^ twenty-one numbers in the
4995.00125
easy proportion of 10000 to 9995,
which is sufficiently near to it
9985007.49875
; the
^002
^^^^
inA
^^ these, if you have not erred,
^^ '\ will be 9900473. 5 7808.
99 4-995 From these numbers, when com-
§'
puted, the last figure of each may be
g
*^
rejected without sensible error, so
that others
may hereafter be more
o easily computed from them.
9900473.57808
1 9. The first numbers of all the columns must proceedfrom
radius