Page:The Construction of the Wonderful Canon of Logarithms.djvu/35

CONSTRUCTION OF THE CANON, II

and 43.1 produced 166.7 and 166.3 (as in 8), yet the converse does not follow; for there may be some quantity between 166.7 and 166.3 from which if you subtract some other which is between 43.2 and 43.1, the remainder may not lie between 123.5 and 123.2, but it is impossible for it not to lie between the limits 123.6 and 123.1.

Those geometrical progressions alone are carried on easily