476 Notices respecting New Books. 



too complex for use on a diagram — e. g. one length in fig. 100 is 

 marked thus : 



K f i ^ 2 A i vA 



— k.s (*+_L) : C.J2-. 

 « \ 2^/ a 



Now in all such cases a single symbol (with reference in the 

 text) would be better. The numbering of the diagrams also should 

 be made consecutive ; there are at present three numberings inter- 

 mixed, which renders reference difficult. The number of mis- 

 prints also is very great, especially among the references. Even with 

 these faults the work is a valuable one, and no one can read it 

 without learning much. Allan Cunningham, Major R.E. 



Questions in Pure Mathematics proposed at the B.A. and B.Sc. Pass 

 and Honours Examinations of the University of London, with 

 complete Solutions by J. E. A. Steggall, M.A. Van Voorst, 

 1882; pp. viii + 245. 

 The title sufficiently indicates the nature of the work. The solu- 

 tions, we think, are in- all cases neat, and in many instances they 

 are elegant. Mr. Steggall does not confine himself to single solu- 

 tions, but often gives two or more proofs of the same question. 

 The work is very carefully printed, and there are, we believe, very 

 few typographical errors. On p. 13 another mode of solution 

 might have been indicated, depending on the fact that the sinister 

 side vanishes when x=y=z. We venture to suggest that on p. 25 

 reference might have been made to Euc. vi. 3 and A as also readily 

 furnishing a solution ; and the equation on p. 37 might be worked 

 from the fact that the terms on one side are reciprocals of those 

 on the other. But these and other instances we could bring for- 

 ward only illustrate the well-known fact that there are more ways 

 than one of attacking problems ; and the exigencies of space have 

 no doubt restricted the author in general to the single solution he 

 adopts. On pp. 21, 45, occur, as we thiuk, two slight inaccuracies in 

 expression. We note the following slips : — p. 120, "Solving for y" 

 read u x" and for "cos a?" read "cos 2 a;"; p. 164, for "— 3y" 

 read " -\-2>y " ; p. 224, for " >1 " read " < 1." A few others are 

 easily corrected ; but on p. 205 there is a great derangement of 

 " subscripts," and this may puzzle some readers. We hope that 

 Mr. Steggall will receive sufficient encouragement to bring out a 

 second edition in a few years time, with additional solutions up to 

 date ; for such works as this are of great service to students. 



Geological Chart, arranged by Professor John Mobbis, M.A., F.G.S., 

 Arc. New Edition. Large Sheet. Reynolds and Sons, Strand, 

 London. 1882. 

 This enlarged and revised edition of a good Geological Table shows 

 the order of the man^y stratified formations in their regular succes- 

 sion, their mineral characters, uses in the arts, principal fossils, 



