ON MATHEMATICAL TABLES. 125 



T, I. Squares, cubes, square and cube roots (to how many places is not 

 stated) of all numbers from 1 to 10,000 conveniently arranged. 



T. II. Factors (except 2, 3, 5, and 11) of numbers from i to 102,011. 



T. VII. Six-figure logarithms of numbers to 10,800 (the last 800 to 

 7 places). 



T. VIII. Briggian and hyperbolic logarithms of all numbers from 1 to 

 1000, and of primes from 1009 to 10,333, to 10 places. 



T. IX. Logarithmic canon for every second of the first two degrees, and 

 then for every ten seconds of the rest of the quadrant (to 6 or 7 places, wo 

 suppose). 



T. XII. Natural sines and tangents for every minute, with diflPercnces. Kogg 

 adds that the printing and paper are good for Germany, but that he has made no 

 comparison to determine the correctness of the table ; the two pages of errata, 

 however, show (he remarks) that there was not so much care taken as with 

 Sherwin, Gaemnkr, Callet, Hutxon, Taylor, or Vega. Hogg's account is to 

 be found on pp. 254 and 399 of his ' Bibliotheca.' See also Gernorth's tract. 



"^Schlbmilch [1865 ?]. Five-figure logarithms to 10,909 ; table for the 

 conversion of Briggian into hyperbolic logarithms ; logarithms of constants ; 

 circular measure of degrees, minutes, and seconds ; natural functions for every 

 ten minutes of the quadrant ; log functions for every minute ; reciprocals, 

 square and cube roots, and hyperbolic logarithms of numbers to 100 ; elliptic 

 quadrants ; physical and chemical constants. 



The above description is taken from an advertisement. 



Schmidt, 1821. [T. I.J Five-figure logarithms to 100, and from 1000 

 to 10,000, with proportional parts. 



[T. II.] Log sines and tangents for every minute of the quadrant (semi- 

 quadrantally arranged), to 5 places, with differences. 



[T. III.] Natural sines (to 5 places) and tangents (to 5 places when less 

 than unity, above that to 6 figures) for every minute of the quadrant. 



[T. IV.] Circular arcs, viz. circular measure of 1°, 2° . . . 90° 120° 

 300°, 360°, of 1', 2' . . . 60', and of 1", 2" . . . 60", to 12 places. 



[T. v.] Squares and cubes of all numbers from imity to 1000, with two 

 subsidiary tables to extend the table to 10,000 ; the latter are of double 

 entry, and contain :— (i) (2 a + c) c for c= 1, 2 . . . 9 and a=10, 11 ... 99, 

 and b c and 2 be for the same values of c and for 6 = 1, 2 ... 9 ; and (ii) 

 (3 cr + 3ac + c") c for c = 1, 2 ... 9, and a = 10, 11 . . . 99. 



There are a few other small tables for the solution of triangles, refrac- 

 tions, &c. 



Schron, 1860. T. I. Seven-figure logarithms to 1000, and from 10,000 

 to 108,000 (the last 8000 being to 8 places), with proportional parts to' one 

 place of decimals, so that they are in fact multiples. The change in the line 

 is denoted by an asterisk prefixed to the fourtli figure of all the logarithms 

 affected. The degrees, minutes, &c. corresponding to every number (regarded 

 as that number of seconds) in the left-hand column, and also corresponding 

 to these numbers divided by 10, are given. At the bottom of the page also S 

 and T (and also the log sine and tangent) are added for every 10" (§ 3, 

 art. 13, p. 54). When the last figure has been increased there is a bar 

 subscript, wliich, being more obtrusive, is not so good as Babbage's point. 

 The table is followed by the first 100 multiples of the modulus and its reci- 

 procal, to 10 places. 



T. II. Log sines and tangents for every ten seconds of the quadrant, to 

 7 places, with very complete proportional-part tables (or more properly mul- 

 tiples of the differences). The increase of the last figure is noted as in T. I, 



T. III. Interpolation table, viz. the first 100 multiples of all numbers 



