ON MATHEMATICAL TABLES. 113 



1.3.5 1 



T. XI. Decimal values of certain coefficients, such as — , , 



2.4.0.7 2 . 4 . r>' 



1.3 



-, «S:c., with their logarithms. There arc 40 in all ; and the talkie 



2.4.().7' 

 occupies one page. 



A reward of a louls d'or was offered for every error found in the first 

 edition ; all the errors so found are corrected in the second, here described. 



Lalande, 1805. [T. I.] Five-figure logarithms of numbers from 1 to 

 10,000, arranged consecutively in columns, with differences. 



[T. II.] Log sines and tangents for every minute of the quadrant, to 5 

 places. An explanation of 34 pp. is prefixed. 



Lalande, 1829. [T. I.] Seven-figure logarithms to 10,000, arranged in 

 columns with characteristics and differences ; the number of degrees, minutes, 

 &c. for the first number in each column (viz. for every thirtieth number) is 

 given at the top. 



[T. II.] Log sines and tangents for every minute of the quadrant, to 7 

 places, with differences. 



Lambert, 1798. T. I. Divisors of all numbers up to 102,000 not divi- 

 sible by 2, 3, or 5. If the number is the product of only two prime factors, 

 then the least only is given ; but if of more than two, the others are given, 

 except the largest. The table tlierefore gives all the simple factors except 

 the greatest. The letters/, rj, Ji, &q. are used for 11, 13, 17, &c. (as explained 

 on p. xviii of the introduction), not only because they occupy less room, but 

 also because they can be placed in contact without risk of mistake; the 

 least factor, however, is always written at length. 



T. II. Ahaciis numeroi-um jyrimorum, viz. first 10 multiples of all the 

 primes up to 313. 



T. III. Seven products, each of seven consecutive primes, from 7 to 1 73. 



T. IV. List of the three-figure endings that squares of odd numbers 

 admit of. 



T. VI. Primes from 1 to 101,977. 



T. VIT.-IX. Powers of 2 to 2'°, of 3 to 3'", of 5 to 5'^ 



T. XL e-^- (to 7 places) for .r=-l, -2, . . . -9, 1, 2, . . . 10. 



T. XIII. & XV. Hyperbolic logarithms (to 7 places) of numbers from 

 1 to 100, and from 1-01 to 10-00 at intervals of -01, respectively. 



T. XIV. & Xyi. contain loge 10, 10^ . . . 10'", to 7 places, and log, 2, 



3 ... 10, and ^ rrr, to 25 places. 



lege 10' ^ 



T. XVII. Tables of numbers of the form 2". 3"'. 5''. 7' arran"-ed in order 

 up to 11,200. 



T. XXIIL Circular measure of 1°, 2°. . .100°, 120°, 150°, 180° . 3G0°, 

 of 1', 2'. . .10', 20'. . .60', and of 1", 2". . .10", 20". . .60", to 27 places. 



T. XXIV. 0=lOOOO"m; ((,, <j>- . . .0" expressed in terms of m (in circular 

 measure), to 16 places, and sin f, cos f expressed in terms of hi with decimal 



coefficients, to 18 places. Also n-, log tt, -, Vtt, &c. to a good many places. 



T. XXV. Natural sines to every degree and their first 9 midtiples, to 5 

 places. 



T. XXVI. Sines, tangents, and secants, and log sines and tangents to 

 every degree, to 7 places. 



T. XXIX. Table for facilitating the solution of cubic equations, viz. 

 «= ±(.r— .r') from a;=-001 to 1-1.55 at intervals of -001, to 7 places. 



1873. I 



