6 SCIENTIFIC CATALOGUE. 



The first part of this work consists of an application of the method of 

 the variation of elements to the general problem of rotation. In the 

 second 'part the general rotation formula: are applied to the particular 

 case of the earth. 



Childe. THE SINGULAR PROPERTIES OF THE ELLIP- 

 SOID AND ASSOCIATED SURFACES OF THE NTH 

 DEGREE. By the Rev. G. F. CHILDE, M.A., Author of 

 " Ray Surfaces," " Related Caustics," &c. 8vo. IOT. 6<f. 



The object of this volume is to dwelop peculiarities in the Ellipsoid ; 

 and, further, to establish analogous properties in the unlimited con- 

 generic series of which this remarkable surface is a constituent. 



DodgSOn. AN ELEMENTARY TREATISE ON DETER- 



MINANTS, with their Application to Simultaneous Linear 

 Equations and Algebraical Geometry. By CHARLES L. DODGSON, 

 M.A., Student and Mathematical Lecturer of Christ Church, 

 Oxford. Small 410. cloth. IOT. 6d. 



The object of the author is to present the subject as a continuous 

 chain of argument, separated from all accessories of explanation 

 of illustration. All such explanation and illustration as seemed 

 necessary for a beginner are introduced either in the form of 

 foot-notes, or, where that would have occupied too much room, of 

 Appendices. 



Earnshaw (S., M.A.) PARTIAL DIFFERENTIAL 



EQUATIONS. An Essay towards an entirely New Method of 

 Integrating them. By S. EARNSHAW, M.A., of St. John's 

 College, Cambridge. Crown 8vo. 5-y. 



The peculiarity of the system expounded in this work is, that in every 

 equation, whatever be the number of original independent variables y 

 the work of integration is at once reduced to the use of one indepen- 

 dent variable only. The author s object is merely to render his 

 method thoroughly intelligible. The various steps of the investiga- 

 tion are all obedient to one general principle : and though in some 

 degree novel, are not really difficult, but on the contrary easy when 

 the eye has become accustomed to the novelties of the notation. Many 

 of the results of the integrations are far more general than they were 

 in the shape in which they appeared in former Treatises, and many 



