page 230 note * Any to whom this proposition is new may satisfy themselves of its truth, if they will, with a five-figure table, form the logarithms of, say, 86,570 to 86,580. They will find that, in several cases, different numbers give the same logarithm; so that, conversely, when one of these logarithms is given, it cannot be predicated, with certainty, to which of the two numbers that will produce it it belongs in the case in hand.

page 231 note * I have inserted proportional parts, in my own copy, with the pen—an operation of easy performance, since the paper is remarkably stout and well sized.

page 231 note † Ursin's work appears to have been published by subscription. In the list of subscribers I find “Mr. Babbage, Esq.,” and “Mr. Baily, Esq.” It occurs to me, while penning this note, that it is Mr. Baily's copy that I possess. The book is, I believe, still accessible; at least it was so some years ago, when I procured copies for several of my friends, also, I think, through Mr. Nutt.