0\ MATHEMATICAL TABLES. 95 



De Prasse, 1814. [T. I.] Five-figure logarithms of numbers to 339 

 (with characteristics), and thence to 10,000, arranged as is usual in seven- 

 figure tables. When the fifth figiire has been increased it is printed in different 

 type. The change in the line is denoted by an asterisk prefixed to the third 

 figure of all the logarithms affected. 



[T. II.] Log sines and tangents for every minute to 5°, and thence for every 

 ten minutes to 85°, when the intervals are again one minute to 90°, to 5 

 places. TV and e, and nine multiples of the modulus and its reciprocal are 

 given on the last page. The price is one franc. 



A short review of this work, reprinted from the ' Gottingische gelehrte 

 Anzeigen,' Dec. 19, 1814, wiU be found on p. 243 of t. iii. of Gauss's 

 ' Werke.' On pp. 241-243 is also reprinted a review of the original edition 

 (Leipzig), from the same ' Anzeigen ' for May 25, 1811. 



Dodson, 1747. T. XVII. Least divisors of numbers to 10,000 (mul- 

 tiples of 2 and 5 omitted) . 



T. XVIII. Primes from 10,000 to 15,000. 



T. XIX. Square and cube roots (to 6 places) of numbers to 180. 



T. XX. Combinations up to the combination of 34 things, 29 together : 

 a table of double entry. 



T. XXI. Powers of 2 to 2^" &c. 



T. XXII. The first 20 powers of the 9 digits. 



T. XXIII. Permutations, viz. 1 . 2. . . ..r, to a;=:30. 



T. XXV. Circular measure of 1°, 2°, 180° ; of 1', 2', 60' ; of 1" 



60" ; and of 1'" .... 60"' : to 7 places. 



T. XXVI. Versed sines of arcs, and the areas of the segments included 

 by those arcs and their chords to every 15' of the quadrant, to 7 places, with 

 differences. 



• T. XXVII. The first 9 multiples of 12 constants (viz. ;r, - , -/ ^, &c ) 



■K 4 47r '^' 



to 7 places. 



T. XXVIII. Table of polygons, giving any three of the four quantities, 

 length of side, radius of inscribed circle, radius of circumscribed circle, area 

 when the fourth is given=l, for polygons of less than 13 sides, to 7 places.' 



T. XXIX. Table of regular solids, giving any four of the five quantities, 

 side, radius of circumscribed sphere, radius of inscribed sphere, superficies, 

 solidity, when the fifth is given=l, to 7 places, for the 5 regular solids. 



T. XXXII. Seven-figure logarithms to 10,000, with differences. 



T, X XX III. Antilogarithms, viz. numbers to logarithms from -0001 to 

 •9999 at intervals of -0001, to 7 places. 



T. XXXIV. Log sines and tangents for every minute of the quadrant, to 

 7 places, with differences ; but between 0° and 2° the difierences between the 

 logarithms of the arcs and the logarithms of the sines and tangents of those 

 arcs are given instead. 



T. XXXV. The number of seconds contained in any number of minutes 

 less than 2°. 



T. XXXVI. Logistic logarithms, viz. log 3600'— log x from x=l to 

 a^=4800^ ( = 80™) (argument expressed in minutes and seconds), to 4 places. 



T. XXXVII. Neper's hf/aritJims. The table, however, is really one to con- 

 vert common into hyperbolic logarithms, and is in fact, when so regarded the 

 first 1 000 multiples of the reciprocal of the modulus, viz. 2-302 . . . , to 6 places 



T. XXXVIII. Products to 9 x 9999. 



There are, besides, very many other tables of all kinds, astronomical com- 

 mercial, &c. : we have described all the mathematical ones. 



