120 REroRT— 1873. 



from 2200 to 2998 at intervals of 2, from 3000 to 4995 at intervals of 5 ; 

 all to 10 places (from Vlacq). 



T. XIII. Logarithms of numbers from 200 to 1199, to 20 places (from 

 Callet). 



T. XIV. (continuation of T. XIII.). Logarithms of numbers from 1200 

 to 1399 at intervals of unity, from 1 400 to 2998 at intervals of 2, from 

 3005 to 4995 at intervals of' 10 ; all to 20 places. 



T. XVIII. Logarithms of primes from 113 to 1129, to 61 places (from 

 Callet) . 



T. XX., XXI., XXII. A table of least divisors of numbers to 10,190, 

 and, for certain divisors, to 100,000. Multiples of 2, 3, 5, 7, and 11 are 

 excluded ; it is very inconveniently arranged, and is moreover imperfect. 



T. XXIII. Primes to 12,239. 



T. XXV. Keciprocals from 300 to 3299, to 7 places, arranged like an ordi- 

 nary table of sevcu-figure logarithms. 



T. XXVI. Products of the numbers from 200 to 399 by the digits 1, 2 ... 9, 

 and squares from 200' to 399". 



T. XXVII., XXVIII. A few logarithms and antilogarithms, to 3 places, 

 and a similar small table to 4 places. 



T. XXX., XXXI. Xatural and log sines and tangents &c., to 4 places. 



T. XXXII. Binomial-theorem cocfHcicnts (the first six for indices from 

 Tmity to 40), and squares from 1'^ to 200^. 



T. XXXIII., XXXIV. Multiplication table from 16 x 13 to 99 x 98, 

 and multiplication table of squares from 16- x 13 to 99-x 98. 



T. XXXV., XXXVII., XXXVIII. Antilogarithms, logarithms to 8 places, 

 and log sines. 



The other tables are : — 



T. IV. Logarithms of factors, 102 decimals. T. VI. Secondary multi- 

 ples. T. A'll. Factors to 3 decimals. T. VIII. Logarithms of factors, 31 

 decimals. T. X. Factors to 61 decimals. T. XI. Log F, for logarithms to 

 10 decimals. T. XV., XVI., XVII. Logarithms to 20 decimals of factors. 

 T. XIX. Constants derived from the modulus. T. XXIV. Log p, for addition 

 and subtraction. T. XXIX. tSubtractiou logarithms. T. XXXVI. Factors. 

 T. XXXIX., XL. Interpolations, Pessel's coefficients. 



Most of these tables are tabulated for their use in the calculation of 

 logarithms by well-knoAvn methods. The arrangement of the work is most 

 confused ; and it would be very difficult to understand from the author's 

 description the objects of his tables. The paging of the book runs from 1 

 to 176; and this portion includes all the tables. Then Part 2 commences, 

 and the pages are numbered afresh from 1 to 38. In Part 3 the pages pro- 

 ceed from 1 to 27. Parts 2 and 3 are occupied with a description of the 

 tables ; and the reader who wishes to luidcrstand the meaning of the nota- 

 tion (which is often needlessly complex and confusing, to save the space of 

 a few figures), &c.. is recommended to begin at Part 3, p. 5. It would take too 

 much room, even if it were worth Avhile, to explain the tables in detail ; but it 

 may be stated that the tables (for the constructiou of logarithms of factors) give 



the values of log (l+ '"^ Ymd log (l --'"' I for different values of vi and n 



\ 107 ° \ 10"/ 



to a great many places, as required in "VVeddlc's and similar methods. 



It will save the reader some trouble to mention that by " o m in the 

 book is meant log ( 1 +T7t„), and by - >i^o m, — log / 1 — ,— 1. Generally 



