Page:The Construction of the Wonderful Canon of Logarithms.djvu/37

CONSTRUCTION OF THE CANON. 13

Thus from radius, with seven cyphers added for greater accuracy, namely, 10000000.0000000, subtract 1.0000000, you get 9999999.0000000; from this subtract .9999999 you get 9999998.0000001; and proceed in this way, as shown at the side until you create a hundred proportionals, the last of which, if you have computed rightly, will be 9999900.0004950.

Thus the first and last numbers of the First table are 10000000.00000000 and 9999900.0004950, in which proportion it is difficult to form fifty proportional numbers. A near and at the same time an easy proportion is 100000 to 99999, may be continued with sufficient exactness by adding six cyphers to radius and continually subtracting from each number its own 109900th part in the manner shown at the side; and this table

contains