112 REPORT— 1873. 



T. XI. Logarithmic Rinincf, viz. log versed sines from 0'' to S'' at inter- 

 vals of 5", with jjroportional parts to seconds, to 5 places : the logarithms are 

 ■written at length. 



T. XII. Proportional logarithms for every second to 3°, to four places ; 

 same as T. 74 of Raper. 



T. XIII. Small table to convert arc into time : the other tables are 

 nautical. 



Kbhler, 1832. [T. I.] Five-figure logarithms to 10,000, arranged con- 

 secutively in columns, with differences and characteristics; the degrees, min- 

 utes, tfec. for every thirtieth number are added. 



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

 places, with differences. 



[T. III.] Gauss's table (§ 3, art. 19) ; viz. B and C are given for argument A 

 from -000 to 2-000 at intervals of -001, thence to 3-40 at intervals of -01, 

 and to 5 at intervals of "1, to five places, with differences. 



There are besides a few constants; the introduction is in French and 

 German. 



Kohler, 1848. [T. I.] Seven-figure logarithms to 1000, and from 10,000 

 to 108,000 (this last 8000 being to 8 places), with differences and proportional 

 parts ; the change in the line is denoted by a bar placed over the fourth figure of 

 aU the logarithms affected. The constants S and T (§ 3, art. 13) and the 

 variation are given at the top of the page, as also is the number of degrees, 

 minutes, &c. corresponding to every tenth number. At the end are the first 

 hundred multiples of the modulus and its reciprocal to 8 places, and a small 

 table to convert arc into time. 



[T. II.] Gaussian logarithms : B and C are given to.5 places (with differences) 

 for A = -000 to 2-000 at intervals of -001, thence to 3-40 at intervals of -01, 

 and to 5-0 at intervals of -1 (same as Gauss's table 1812, § 3, art 19). 



[T. III.] Briggian logarithms of primes from 2 to 1811, to 11 places, fol- 

 lowed by 2 pages of constants, some weights and measures, &c. 



[T. IV.] Log sines, tangents, and arcs (all equal) for every second to 1' ; 

 and log sines, cosines, tangents, and cotangents for intervals of 10" to 10°, 

 and thence for intervals of 1' to 45°, to 7 places, with differences for one 

 second. 



[T. v.] Circular measure of 1°, 2°. . . . 100°, 110°. . . .300°, 330°, 3G0°, 



of 1', 2' 60', and of 1", 2" 60", to 11 places. Then follow some for- 



mulai, and we come to the second part of the work, ' Mathematische Tafeln, 

 die oft gebraucht werden,' containing : — 



T. I. Hyperbolic logarithms (to 8 places) of numbers from 1 to 1000, 

 and of primes from 1000 to 10,000. 



T. II. The first 45, 36, and 27 powers of 2, 3, and 5 respectively. 



T. III. (^ from .x- = -01 to 10-00 at intervals of -01 to 7 figures. 



T. IV. The first ten powers of numbers from 1 to 100. 



T. V. Squares of numbers from 1 to 1000. 



T. VI. Cubes of numbers from 1 to 1000. 



T. VII. Square and cube roots (to 7 places) of all numbers from 1 

 to 1000. 



T. VIII. Factor tables, giving all divisors of all numbers not prime or 

 divisible by 2, 3, or 5, from unity to 21,524. 



T. IX. To express minutes and seconds as decimals of a degree &c. 



T. X. Binomial-theorem coefiicients, viz. x, ' ^" ~ ' , &c. ...',' A .~-r » 

 from .r=-01 to 1-00 at intervals of -01, to G places. 



