464 Notices respecting Neiv Boohs. 



The atlas of plates belonging to this volume contains nine maps 

 of the " Lead-bearing Crevices " of the Lead-region, and two 

 illustrating the Triangulation of the Geodetic Survey. 



An Index to the Palaeontology, and a general index to the 

 volume, complete this large and valuable addition to geological 

 knowledge, not only useful to the citizens of the State where it 

 has been produced, but welcome to geologists all over the world. 



An Elementary Treatise on Conic Sections. By Charles Smith, 

 M.A. London: Macmillan and Co. 1883. (Pp. xi+352.) 



An Elementary Treatise on Solid Geometry. Same Author and 

 Publishers. 1884. (Pp. xv+230.) 



"We have read this second edition of the ' Conies ' as carefully as 

 we read the first, and rise from the perusal with an enhanced 

 opinion of its suitability as a text-book for College and School 

 Students, in fact for all who wish to get an accurate and extensive 

 acquaintance with this branch of mathematics. The text is very 

 lucidly written, all the useful properties of the sections are clearly 

 put, and the reader gets a full insight into the elegances of a very 

 fascinating subject. Few students will need to carry their investi- 

 gations further ; and if they do require to advance, they will find 

 Mr. Smith's book a capital preparation for such advanced treatises 

 as that by Dr. Salmon. 



The text, we may further remark, is very free from typogra- 

 phical errors ; nor have we noted any mistakes of moment in the 

 numerous exercises, many of which we have had occasion to work 

 out. An inaccurately drawn figure which had place in the first 

 edition is now replaced by an accurately drawn one. In addition 

 to careful revision numerous additions have been made, more 

 especially to the chapter on Involution, and to the final one on 

 Eeciprocal Polars and Projections. 



Inspirited by the success of his first venture, Mr. Smith has 

 ventured to send forth a second work, viz. one on Solid Geometry. 

 "We have formed much the same opinion on this work as we have 

 expressed above : it appears to us to be written on the same 

 lines and to possess the same good qualities. It is a very good 

 elementary text-book, and can, we believe, be safely recommended 

 as fit for the purpose for which the author has written it. The 

 usual parts, of a large subject, which are considered as elementary 

 are discussed in twelve chapters ; and the onty novelty in detail is 

 perhaps the very early stage at which the discussion of the different 

 surfaces represented by the general equation of the second degree 

 (quadrics) takes place. We consider that this discussion is well 

 done, and not at all likely to be too difficult for the beginner to 

 master. 



There are numerous exercises, worked out and unworked, and 

 theorems due to Chasles and others are established. We commend 

 the ' Solid Geometry ' as a fitting sequel and complement to 

 the ' Conies/ 



