The volume marked “Logarithms 0” now placed on the Society's table contains, to 28 places, the Logarithms of all numbers up to Ten Thousand. In preparing it, care was taken that each prime should be placed in connection with two distinct sets of other prime numbers, in order that all likelihood of mistake should be avoided. This amounts to the computation of each logarithm by two independent processes. Opposite each prime, reference is made to the page of the record of calculations; and the accompanying volumes marked “Construction, I., II.” contain minutes of each articulate step, so that the genesis of any logarithm may readily be traced and examined.