6 



SCIENTIFIC CATALOGUE. 



The first part of this work consists of an appHcatio^z of the method of 

 the variation of ele7nents to the general problem of rotation. In the 

 second part the general rotation for inulce are applied to theparticula 

 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. ioj. 6^. 



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

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

 geyzeric series of which this remarkable surface is a constituent. 





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DodgSOn.— AN ELEMENTARY TREATISE ON DETER- PRIXCIPIA. Wit 



of Problems, princ 



MINANTS, with their Application to Simultaneous Linoar 

 Equations and Algebraical Geometry. By Charles L. Dodgson, 

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

 Oxford. Small 4to. cloth. los, 6d. 



The object of the author is to pi^esent the subject as a continuous 

 chain of argument, separated fi-oju all accessories of explarzation 

 oj illustration. All such expla^tation and illustration as seemed 

 necessary for a beginner are introduced either in the form of 



Jleihods. By PeR( 

 College, Malhematii 

 Second Edition. 8^ 



Ikmihors pr{n"'\ 

 mountcred by thi 

 iusirate the ad. .. h 



rnshaw (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^-. 



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foot-notes, or, where that would have occupied too much roo7n, of ^^^^^w;//, by she 



tk solution of -^"^ 

 ^0 the stud-.' :[^ 



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



equation, zvhatever be the number of oidginal independent variables, 

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

 dent variable only. The author^ s object is 7ne7'ely 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 accusto7ned 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 infor77ier Treatises, and many 





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