ON MATHEMATICAL TABLES, 85 



III. (products of consecutive primes), T. XVII. (numbers of the form 

 2''3"'5''7«), T. XXIV. (0, ^^...for ^ = 10,000" m, &c.), T. XXXII. 

 (Functiones hyperbolicae circularibus analogse) ; Borda and Delambke, 

 1800 or 1801 [T. V.] (log sin {x + 2)— log sin x, &c. centesimal) ; Peaeson, 



1824: [T. II.] (1°, 2° as decimals of the circumference) ; Degen, 1824, 



T. I. (large table of log (1.2 a-)), T. III. (multiples of log 2, log 3, &c.) ; 



XJESiNtrs, 1827 [T. IV.] (length of chords subtending given angles) ; Hantschl, 

 1827, T. XI. (multiples of constants) ; Hartig, 1829 (contents of solids ex- 

 pressed in Puss and Zoll) ; [De Morgan], 1839 [T. VI.], (log (1.2.3 x)); 



Hulsse's Vega, 1840, T. IV. (chord table), T. IX. F and G {x }f^, &c.) ; 



Shortrede (tables), 1849, T. IV. and V. (for calculating logarithms and anti- 

 logarithms), and T. VIII. (log (1.2.3 x)); Domke, 1852, T. XXX. 



(I •«'' + 1^ I I ; Shanks, 1853 [T. I.] (terms of tan -'i and tan -'^) ; 



ScHRON, 18G0, T. III. /hyp. log 10" and 1 + -^V *Schl6milch [1865?] 



(elliptic quadrants); Everett, 1866; "Wackerbaeth, 1867, T. II. (log 

 {1.2.... x), log (1.3.... .r), log (2.4.... a;)); Parkhuest, 1871, T. IV., 

 VI.-VIII., X., XI., XV.-XVII., XIX., XXIV., XXIX., XXXVI. See 

 also KuLiK, 1848, T. 2-10 and 11 (Theory-of-number tables and multiples of 



and i\ (§ 3, art. 4). 



§ 4. Worlcs containinri Collections of Tables, arranged in aljjhahetical order. 

 [The titles of the works can be found by reference to § 5.] 



Academie de Prusse (1776). This collection of tables only contains 

 two that come within the scope of this Report. 



[T. I.] (vol. iii. pp. 172-207). Table of sines, expressed as arcs whose 

 length is equal to that of the sine ; viz. for x (expressed in degrees and mi- 

 nutes) as argument there is given the angle (expressed in degrees, minutes, 

 seconds, and tenths of a second) whose circular measure is sin x, the argu- 

 ment X being given to every minute of the quadrant. There are no differ- 

 ences ; and the arrangement of the table is quadrantal (not semiquadrantal). 

 The table is due to Schulze. 



[T. II.] (Vol. iii. pp. 258-271). Lengths of circular arcs, viz. the circular 



measures of 1°, 2°, 3°, 360°, of 1', 2', . • . . 60', and of 1", 2", 60" to 



27 places. This table is by Schulze, in whose collection it also appears : see 

 Schulze [T. VII.]. 



Both these tables are included under the head " Tables auxiliaires " in the 

 third volume. 



The whole work is attributed in the Royal Society's Catalogue to Schulze, 

 and, from internal evidence we have little doubt, correctly. 



Adams, 1796 [T. I.]. Six-figure logarithms to 10,860, written at length, 

 with characteristics. Differences arc added. 



[T. II.] Log sines, tangents, and secants for everj^ minute of the qua- 

 di-ant, to 6 places ; with tables at the bottom of the page to facilitate inter- 

 polations. 



[T. III.] Log sines, cosines, tangents, cotangents, secants, and cosecants for 

 every quarter point, to 5 places. 



