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connexion with the second, has been frequently reprinted in the United States. The Boston edition of both volumes, which appeared in 1821, translates the quotations not in English. Mr. Stewart, however, seems not to have been satisfied with the version, for he has left, I am informed, eight quarto pages of corrections in his copy of the book. I do not know whether these translations are the same with those given in Wright's London edition of the two volumes, in 1843.
In the present collection,—the fragment of the Outlines was printed from the seventh edition, collated with the fourth, and with the first three editions in which the author's annotations are found.—The First Volume of the Elements was printed from its fourth edition, (1811,) collated with the sixth, (1818;) and the insertions from the Addenda in the third volume are distinguished by square brackets.—The Second Volume was printed from the third edition, (1821,) collated with the second, (1816,) and also with the first, in which last Mr. Stewart's annotations were written.—The Third Volume was, of course, printed from the one edition ; and to this part of the Elements nothing has been added by the author.
In regard to what I have myself contributed to this collection,—I may repeat, that I have limited my interference strictly to the province of an editor ; and it was manifestly no part of my official duty to meddle with the author's reasonings. Accordingly, there has been nothing added by me, in the view of vindicating, of supplementing or confirming, of qualifying or criticising, Mr. Stewart's doctrines. I have proposed, exclusively, to render this edition the one in which these might be most conveniently studied. To this end, however, it was necessary that the authorities and their citations should be occasionally rectified and filled up; and it was necessary that the reader, let him open the book where he might, should be
made at once aware of the special matter under discussion.
the running titles now first indicating as minutely as
* The First Volume is occupied with
latter, the numbers,-II. 1. In the