*THE POPULAR SCIENCE MONTHLY.*

the district in which the school is situated, to be introduced in the teaching of geology. The list thus contemplated is published, with brief commentaries pointing out the significance of the several maps, by Henry Holt & Co., in the pamphlet,*The Use of Government Maps* in Schools. It describes sixty-eight maps. (Price, 30 cents.)

Mathematical students of the higher branches will understand and appreciate *Alexander Macfarlane's* setting forth of *The Principles of Elliptic and Hyperbolic Analysis.* In it the fundamental theorem of trigonometry is investigated for the sphere, the ellipsoid of revolution, and the general ellipsoid; then for the equilateral hyperboloid of two sheets, the equilateral hyperboloid of one sheet, and the general hyperboloid. Subsequently, the principles arrived at are applied to find the complete form of other theorems in spherical trigonometry, and to deduce the generalized theorems for the ellipsoid and the hyperboloid. At the end, the analogues of the rotation theorem are deduced. (Author's address, Austin, Texas.)

A paper by *J. F. Kemp* in the Contributions from the Geological Department of Columbia College, on *Gabbros on the Western Shore of Lake Champlain,* deals with certain igneous rock in the townships of the district named in which the most important phases of the great igneous body that forms the bulk of the Adirondacks are illustrated and photographic details not previously noted are adduced. The paper also appears in the Bulletin of the Geological Society of America.

The first number of *Tufts College Studies* comes without an editor's name, but a footnote to one of the articles, apparently editorial, bears the name of J. S. Kingsley. The number contains three papers—viz., The Anterior Cranial Nerves of Pipa, by G. A. Arnold; Ectodermic Origin of the Cartilages of the Head, by Julian B. Platt; and The Classification of the Arthropoda, by J. S. Kingsley. (Published at Tufts College, Mass.)

In *Observations on the Geology and Botany of Martha's Vineyard* (contributions from the Geological Department of Columbia College) the question is discussed by *Arthur Hollick* whether the island has been subjected to distortion and elevation by mountain-building forces, or whether its existence may be accounted for upon the same hypothesis by which we may account for the other islands—Long and Staten—as remains of the glacial morainal fringe. The author's conclusions are in favor of the latter hypothesis. The botanical section of the paper gives a list of a hundred and twenty-eight plants found growing on the island.

The *Ore Deposits at Franklin Furnace and Ogdensburg, N. J.,* are carefully described in a paper on that subject by *J. F. Kemp,* as to their history, location, surrounding, nature, and working. A list is given of sixty-six minerals occurring in them. The paper is a contribution from the Geological Department of Columbia College.

The object of the original edition of Mr. *H. W. Watson's Treatise on the Kinetic Theory of Gases* (Macmillan & Co., $1) was to set forth in a more systematic and in some cases a more simple form the demonstrations of the laws of the theory. In the present (the second) edition substantially the same ground is covered as in that one; but a more detailed treatment has been adopted, partly on account of historical interest, but mainly to avoid some of the difficulties experienced by the student in following out investigations of the great generality required in a more condensed treatment.

The matter of *Elements of Solid Geometry* (Macmillan & Co., $1.60) was used by the author, *N. F. Dupuis,* in annual courses of lectures to mathematical students, who were much interested. The subject is carried somewhat further than is usual in ordinary text-books of plane and solid geometry. The work is divided into four parts, which are again subdivided: 1. Dealing with the descriptive properties of lines and planes in space, of the polyhedra, cone, cylinder, and sphere. 2. Dealing with areal relations. 3. Stereometry and planimetry; and 4. The principles of conical or perspective projection. A collection of miscellaneous exercises is presented at the close of the work. The author expresses a high opinion of the value of synthetical solid geometry, in that it exercises the intellectual powers in the development of the theorems, the imagination in the building up of the spatial figures, and the eye and the hand in their representation.

*White's Manual,* in his *New Course of Art Instruction for the Fifth-Year Grade,*