140 Notices respecting New Books. 



Chapters II. and III. deal with some of the simpler eases of motion 

 of solids in liquids. Chapter iv. is occupied with the important 

 subjects of "Wave Motion," and "Stability of Fluid Motion." 

 " Rectilinear Yortex Motion " forms the subject of Chapter v., 

 euding the first part of the treatise, which occupies about five 

 eighths of the whole book. The remaining chapters — vi., Intro- 

 ductory, on Sound ; vn., on the " Vibrations of Strings and Mem- 

 branes ;" viii., on the " Flexions of Bars ; and ix., on the " Equa- 

 tions of Motion of a Perfect Gas," — are mainly the more elementary 

 portions of vol. i. of Lord Kayleigh's great treatise. With this 

 might still advantageously be read (if yet procurable) Sir Gr. B. 

 Airy's ' Lectures on Sound,' compiled for the use of students 

 of the same mathematical status as those for whom Mr. Basset 

 writes, at a time when their wants were wholly unprovided for. 

 This manual, published in 1868, was the realization of a wish 

 expressed to the author by the late Dean Peacock thirty years 

 previous to its appearance. In fact at that time there was no 

 separate treatise accessible to the English student but Sir J. E. W. 

 HerschePs article (1830) on Sound, in the Encyclopaedia Metropo- 

 litana. 



To those acquainted with Mr. Basset's larger w r ork it will be 

 needless to dilate on the completeness with which he handles the 

 subjects of the Elementary treatise as far as pursued — an article 

 by Lord Bayleigh on Bells, as recent as January 1890, being 

 drawn upon ; and in clearness and vigour of style little remains to 

 be desired. It might be suggested, perhaps, that the frequent 

 use of the editorial " we," and its cases, would be advantageously 

 replaced by other phrases, more in accordance with modern habit, 

 in the second edition, to which the book is likely ere long to run. 

 It was with a view to such an opportunity of revision and cor- 

 rection that the remarks in the earlier parts of this notice were 

 directed. Otherwise it would have been more grateful to dwell 

 on the numerous excellences of the work, which was perhaps 

 rather hurried through the press to till up, as soon as possible, the 

 want it was the Author's object to meet. 



J. J. W. 



Notes on Trigonometry and Logarithms. By the Eev. J. M. Eustace, 

 M.A. (London : Longmans, 1890.) 



This is a work composed on the usual lines, the text of which is 

 very correctly printed ; there are of course slips here and there, 

 but we need not specify them for our readers. The compilers 

 object has been to write a book for those students who have not 

 the advantage of a " coach," and for such we consider he has made 

 a capital selection, and we think he has treated his subject in a 

 manner suitable for such readers. There is a large collection of 

 examples taken from University and Civil Service Examination 

 Papers. Two or three of the figures are incorrectly drawn. 

 Answers to the Exercises accompany the work. 



