Page:The Construction of the Wonderful Canon of Logarithms.djvu/39

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CONSTRUCTION OF THE CANON. 15

radius with four cyphers added, in the proportion easiest and nearest to that subsisting between the first and the last numbers of the first column.

As the first and the last numbers of the first column are 10000000.0000 and 9900473.5780, the easiest proportion very near to this is 100 to 99. Accordingly sixty-eight numbers are to be continued from radius in the ratio of 100 to 99 by subtracting from each one of them its hundredth part.
20.In the same proportion a progression ts to be made from the second number of the first column through the second numbers in all the columns, and from the third through the third, and from the fourth through the fourth, and from the others respectively through the others.
Thus from any number in one column, by subtracting its hundredth part, the number of the same rank in the following column is made, and the numbers should be placed in order as follows:—

Proportionals of the Third Table.

First column.
10000000.0000
9995000.0000
9990002.5000
9985007.4987
9980014.9950
&c
continuously
to
9900473.57808

Second Column.
9900000.0000
9895050.0000
9890102.4750
9885157.4237
9880214.8451
&c
continuously
to
9801468.8423

Third