300 Notices respecting New Books. 



1 Nautical Almanac,' than which no better exist. They are founded 

 on Damoiseau's Tables, with the modifications introduced by Adams 

 and Woolhouse. 



The complete Ephemerides of the Satellites of Saturn, Uranus, 

 and Neptune, together with the diagrams of their orbits, will be 

 duly appreciated by the now sufficiently numerous possessors of 

 large telescopes. For Physical observations of the Sun, we are 

 given the positions of the Sun's axis, and the latitude and longitude 

 of the centre of disk for every fifth day of the year. For Jupiter, 

 the time is given of every third passage of the famous Red Spot 

 over the central meridian of the planet. 



Stars with remarkable spectra are treated at some length, and 

 the information in regard to Variable Stars is more complete than 

 exists anywhere else in the English language. The work closes 

 with a table of the Selenographical Latitudes and Longitudes of 100 

 lunar formations. 



In this work the public is supplied, at a merely nominal cost, 

 with a vast amount of accurate, well chosen, and well arranged 

 information, some of which is original. Even the professional 

 Astronomer will frequently turn to its pages from, mere conve- 

 nience, while to the amateur it is almost indispensable. We can 

 only hope that the care and judgment displayed in its compilation 

 will be appreciated by the numerous class for whom it is intended. 



A Synopsis of Elementary Results in Pure Mathematics ; containing 

 Propositions, Formulce, and Methods of Analysis, with abridged 

 Demonstrations. By Gr. S. Caer, M.A. London: Erancis 

 Hodgson, 1886; pp. xxxviii-f 936 + 285 diagrams. 



Though the first sections of this book were issued in 1880, the 

 compilation of it commenced about twenty years ago, many of 

 the abbreviated methods and mnemonic rules having been drawn 

 up for the use of the author's pupils. 



The completed work admirably serves the object Mr. Carr set 

 before himself, viz. that of presenting in a moderate compass the 

 fundamental theorems, formulae, and processes in the chief branches 

 of Pure Mathematics. We hope he will be encouraged by the 

 reception accorded to the present venture to complete his original 

 plan, and supplement this work by a similar one on Applied Mathe- 

 matics. We will let the author speak as to his intentions. " The 

 work is intended, in the first place, to follow and supplement the 

 use of the ordinary textbooks, and it is arranged with the view of 

 assisting the student in the task of revision of book-work. To 

 this end I have, in many cases, merely indicated the salient points 

 of a demonstration, or merely referred to the theorems by which 

 the proposition is proved* I am convinced that it is more bene- 

 ficial to the student to recall demonstrations with such aids than 

 to read and re-read them. Let them be read once but recalled 

 often .... In the second place, I venture to hope that the work 

 may prove useful to advanced students as an aide-memoire and 



