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Godfray — continued. ''advanced pupils in many of our schools. The author's aim has been to'' convey clear and distinct ideas of the celestial phenomena, “It is a working book,” says the, “taking Astronomy in its proper ''place in mathematical sciences. . . . It is a book which is not likely to'' be got up unintelligently.”

These pages will, it is hoped, form an introduction to more recondite ''works. Difficulties have been discussed at considerable length. The'' selection of the method followed with regard to analytical solutions, ''which is the same as that of Airy, Herschel, &c. was made on account'' of its simplicity; it is, moreover, the method which has obtained in the ''University of Cambridge. “As an elementary treatise and introduction'' to the subject, we think it may justly claim to supersede all former ones.” — .

“There is no book in common use from which so clear and exact a knowledge of the principles of the Calculus can be so readily obtained.” — .

This work has been written with a view to give the student the benefit of the Method of Projections as applied to the Ellipse and Hyperbola, When this Method is admitted into the treatment of the Conic Sections, there are many reasons why they should be defined, not with reference to the focus and direction, but according to the original definition from which