Collins; Collins, Keese, & Co.; Collins, Brother, & Co.; and Collins & Brother; now at last ROBERT B. COLLINS, the publisher of the work under notice. We trust he may pursue the path to fortune with the same honorable purposes, by the same honorable means, and with the same gratifying result, which signalized the efforts of his worthy predecessors. Nor are the names of the printer and stereotyper of the present volume without a fraternal interest. The printer, Mr. VAN NORDEN, one of our early and highly esteemed associates, may now be termed a typographer of the old school. The quality of his work is good evidence that he is entitled to the reputation, which has been long accorded to him, of being one of the best printers in the country. The stereotyper of this work, our old friend SMITH, is by no means a novice in his department. We are glad to see that he, too, so ably maintains his long-established reputation. May the publisher, the printer, and the stereotyper of this edition of Æsop, ever rejoice in the sunshine of prosperity, and may their shadows never be less! Geo. P. Putnam has published a work entitled _New Elements of Geometry_, by SEBA SMITH, which can not fail to attract the notice of the curious reader, on account of the good faith and evident ability with which it sustains what must be regarded by all orthodox science as a system of enormous mathematical paradoxes. The treatise is divided into three parts, namely, The Philosophy of Geometry, Demonstrations in Geometry, and Harmonies of Geometry. In opposition to the ancient geometers, by whom the definitions and axioms of the science were fixed, Mr. SMITH contends that the usual division of magnitudes into lines, surfaces, and solids is without foundation, that every mathematical line has a breadth, as definite, as measurable, and as clearly demonstrable as its length, and that every mathematical surface has a thickness, as definite, as measurable, and as clearly demonstrable as its length or breadth. The neglect of this fact has hitherto prevented a perfect understanding of the true relation between numbers, magnitudes, and forms. Hence, the barrenness of modern analytical speculation, which has been complained of by high authorities, the mathematical sciences having run into a luxuriant growth of foliage, with comparatively small quantities of fruit. This evil Mr. SMITH supposes will be avoided by adopting the principle, that as the measurement of extension is the object of geometry, lines without breadth, and surfaces without thickness, are imaginary things, of which this rigid and exact science can take no cognizance. Every thing which comes within the reach of geometry must have extension, must have magnitude, must occupy a portion of space, and accordingly must have extension in every direction from its centre. Hence, as there is but one kind of quantity in geometry, lines, surfaces, and solids must have identically the same unit