X PREFACE. 



In addition to the Examples in the text, some of which are 

 well-known theorems and are referred to in subsequent demon 

 strations, large collections have been appended to some of the 

 Chapters. It is hoped that these may prove useful to teachers, 

 and to students occupied in revising their work. These Examples 

 are for the most part taken from .University and College Examina 

 tion papers; others, in very small number, which I have not 

 found in such papers, are taken from the well-known collections 

 of Besant, Routh, and Wolstenholme. 



The works which have been most useful to me in connexion 

 with matters of principle are Kirchhoff s Vorlesungen uber Mathe- 

 matische Physik (Mechanik), Pearson s Grammar of Science, and 

 Mach s Science of Mechanics. The last should be in the hands of 

 all students who desire to follow the history of dynamical ideas. 

 In regard to methods for the treatment of particular questions, I am 

 conscious of a deep obligation to the teaching of Mr R. R. Webb. 



I am much indebted to the kindness of friends who have 

 assisted me in the production of this book. Mr J. Larmor has 

 read a large part of the manuscript, and his criticisms and sug 

 gestions have been of the greatest value. He has also pointed 

 out a number of errors in the proofs, and has shown a deep and 

 encouraging interest in the progress of the work. Mr J. Greaves 

 has read all the proofs with untiring punctuality and care, and 

 the painstaking industry he has expended upon them leads me to 

 hope that the book may be found free from serious misprints. He 

 has also helped with many valuable suggestions. Prof. Greenhill 

 also has assisted me with a number of corrections and criticisms. 

 Mr R. Hargreaves has most kindly performed the distasteful task 

 of verifying a large number of the Examples. His work shows 

 that a sensible proportion of those submitted to him were originally 

 either ambiguous or incorrect, and I fear that many inaccuracies 

 may remain among the others. 1 shall be grateful for a notice of 

 any correction that ought to be made. 



A. E. H. LOVE. 



CAMBRIDGE, 



August, 1897. 



