MA THE MA TICS. 1 5 



Todhunter (I.) continued. 



some investigations -which are not to be found in any of them. For 

 the second edition the work has been revised and some additions 

 have been made, the most important being an account of the Re- 

 searches of Professor Sylvester respecting Newton! s Rule. "A 

 thoroughly trustworthy, complete, and yet not too elaborate treatise." 

 Philosophical Magazine. 



PLANE TRIGONOMETRY. For Schools and Colleges. Fourth 

 Edition. Crown 8vo. cloth. 5^. 



The design of this work has been to render the subject intelligible 

 to beginners, and at the same time to afford the stiident the oppor- 

 tunity of obtaining all the information which he will require on 

 this branch of Mathematics. Each chapter is followed by a set 

 of Examples : those which are entitled Miscellaneous Examples, 

 together with a few in some of the other sets, may be advantageously 

 reserved by the student for exercise after he has made some progress 

 in the subject. In the Second Edition the hints for the solution of 

 the Examples have been considerably increased. 



A TREATISE ON SPHERICAL TRIGONOMETRY. Third 

 Edition, enlarged. Crown 8vo. cloth. ^s. 6d. 



The present ivork is constructed on the same plan as the treatise on 

 Plane Trigonometry, to which it is intended as a sequel. In the 

 account of Napier's Rules of circular parts, an explanation has 

 been given of a method of proof devised by Napier, which seems to 

 have been overlooked by most modern writers on the subject. Con- 

 siderable labour has been bestorved on the text in order to render it 

 comprehensive and accurate, and the Examples (selected chiefly 

 from College Examination Papers) have all been carefully verified, 

 "for educational purposes this work seems to be superior to any 

 others on the subject." Critic. 



PLANE CO-ORDINATE GEOMETRY, as applied to the Straight 

 Line and the Conic Sections. With numerous Examples. Fourth 

 Edition, revised and enlarged. Crown 8vo. cloth. "js. 6d. 



The author has here endeavoured to exhibit the subject in a simple 

 manner for the benefit of beginners, and at the same time to include 

 in one volume all that students ^lsually require. In addition, 

 therefore, to the propositions which have always appeared in such 



