tract 24.

OP NUMBERS.

465

numbers are generally evident: but it may be remarked, thatthe column of reciprocals (which are no other than the deci-mal values of the quotients, resulting from the division ofunity, or 1, by each of the several numbers, from 1 to 1000),is not only useful in showing, by inspection, the quotientwhen the dividend is unity or 1, but is also applied with muchadvantage in changing many divisions into multiplications,whatever the dividend or numerators may be, which are mucheasier performed, being done by only multiplying the reci-procal of the divisor, as found in the table, by the dividend,for the quotient. It will also apply to good purpose in sum-ming the terms of many converging series, as in the 8th ofthese Tracts, in which a few of the first terms, to be foundby division, are taken out of this table, and then addedtogether.

VOL. I.

H H