Mrs. Loudon's Economy has excited great attention in England, and her work is highly lauded in the present instance. As an able and chivalrous champion of the cause of the people, she deserves all the encomiums which she has received, and we are not in any degree disposed to pick a quarrel with her Ethics, which, to say the truth, are as little to the purpose as her political, or if she pleases, her philanthropic Economy, is most effectually to the point. We have not seen her entire publication, but merely judge of it from the copious extracts in the article before us. Her answer to the objections to the ballot is forcible, and coming as it does from a lady, its value is quadrupled in our eyes. The Notice of her book concludes as follows. "It is plain that Mrs. Loudon is a splendid woman, and has, at one effort, taken her place in line, among the political economists upon the people's side. She is fortunate too in having fallen upon times when 'the spread of education is, in fact, rendering the _peaceable_ continuance of abuses impossible.'" Article II is "Venetian History. Family Library, No. XX--London, Murray, 1833." A compendious History of Venice, and apparently forced into the service of the Review "will I, nill I," without any object farther than the emptying of some writer's portfolio, or common-place book. It is nevertheless an invaluable paper. Article III is "Memoirs of John Napier of Merchiston, his Lineage, Life, and Times, with a History of the Invention of Logarithms. By Mark Napier, Esq. Blackwood, Edinburgh; Cadell, London, 1834. 4to. pp. 534." This is a Review of exceeding interest, and evidently from a mind thoroughly imbued with a love of science. It enters largely into the subject matter of the book reviewed, and defends Napier from the often repeated accusation of having derived his principle from the works of Archimedes, Ditmarsus, and Byrgius. A short account of the philosopher's treatises on Arithmetic and Algebra, as they appear at the end of the Memoirs, is given in the conclusion of the Notice. We perceive that Mr. Napier has here taken occasion to observe that Horsley, Hutton, Leslie, and Playfair, are mistaken in supposing Albert Girard the first who made use of the expressions _majores nihilo_ and _minores nihilo_ in relation to positive and negative quantities. Article IV is "An Essay on Musical Intervals, Harmonics, and the Temperament of the Musical Scale, &c. By W. S. B. Woolhouse, Head Assistant of the Nautical Almanac Establishment." This is a short article in which the book under review is condemned for inaccuracy and misrepresentation. The Essay itself is another instance of the interest now taken in the mathematics of music. Article V is "A Biographical Dictionary of Eminent Artists: comprising Painters, Sculptors, Engravers and Architects, from the earliest ages to the present time. By John Gould--Second Edition, 2 vols. 12mo. Wilson, Royal Exchange, 1835."