C2 REPOiiT— 1873. 



T. I.; OuGiiTRED, 10.37 [T. II.]; Sir J. Moore, IGSl [T. I.]; Vl\cq, 

 1681 [T. II.] ; OzANAM, 1685 ; Gardiker, 1742, and (Avigiioii) 1770 

 [T. I.]; Sherwin, 1741 [T. III.]; Dodson, 1747, T. XXXII.; Hentschen 

 (Vlacq), 1757 [T. II.]; Schtjlze, 1778 [T. I.] ; Donn, 1789, T. I. ; Taylor, 

 1792 [T. I.] and [T. II.] ; Vega, 1797, T. I. ; Vega, 1800, T. I. ; Borda 

 and Delambre, 1800 or 1801 [T. I.] ; Douglas, 1809 [T. I.], and Supple- 

 ments ; Lalande, 1829 [T. I.] ; Hassler, 1830 [T. I.] ; Grttsoi^, 1832, 

 T. 1. ; Turkish Logarithms (1834) ; [De Morgan] 1839 [T. II.] ; Farley, 

 1840, T. II. ; IIulsse's Vega, 1840, T. I. ; Trotter, 1841 TT. IX.] ; 

 Shortrede (Tables), 1844, T. I. ; Minsinger, 1845 [T. I.] ; Kohler, 1848 

 [T. I.] ; Shortrede, 1849, T. I. ; Willich, 1853, T. XX. ; Callet, 1853, 

 T. I.; Bremiker's Vega, 1857, T. I.; Hution, 1858, T. I.; Schron, 1860, 

 T. I.; Waceerbarth, 1867, T. I.; Dupuis, 1868, T. I. and II.); Bruhns, 

 1870, T. I. 



(To 6 places) Dunn, 1784 [T. I.] ; Adams, 1796 [T. I.] ; Maskelyne (Re- 

 quisite Tables, Appendix), 1802, T. III. ; Mackay, 1810, T. XLV. ; Wallace, 

 1815 [T. I.] ; DucoM, 1820, T. XXI. ; Lax, 1821, T. XVIIL ; Kerigan, 

 1821, T. X.; lliDDLE, 1824, T. V.; Ursinus, 1827 [T. I.]; Galbraith, 

 1827, T. II.; ^Salomon, 1827, T. VII.; J. Taylor, 1833, T. XVIII. ; 

 NoEiE, 1836, T. XXIV. ; Jahn, 1837, Vol. I. : Farley, 1840 [T. I.] ; Trotter, 

 1841 [T. L] ; Griffin, 1843, T. 17 ; J. Taylor, 1843, T. 4 ; Eumicer, 1844, 

 T. I. ; Coleman, 1846, T. XX. ; Barer, 1846, T. I.; Domke, 1852, T. XXXII. ; 

 Bremiker, 1852, T. I. ; Thomson, 1852, T. XXIV. ; Eaper, 1857, T. 04 ; 

 Beardmore, 1862, T. 30 ; Inman, 1871 [T. VII.]. 



(To 5 places) Bates, 1781 | T. I.] ; Maskelyne (Requisite Tables), 1802, 

 T. XVIII. ; Bowditch, 1802, T. XVI. ; Lalande, 1805 [T. I.] ; Rios, 1809, 

 T. XV. ; Moore, 1814, T. IV. ; De Peasse, 1814 [T. I.] ; Pasquich, 1817, 

 T. I. ; Reynaud, 1818 [T. I.] ; Schmidt, 1S21 [T. I.] ; Stansbury, 1822, 

 T. X.; [Schumacher, 1822?]. T. V. (arguments in degrees &c.); Hantschl, 

 1827, T. I. ; Bagay, 1829, T. XXIII. ; K5hler, 1832 [T. I.] ; [De Morgan], 

 1839 [T. I.] ; Gregory &c., 1843, T. XI. ; Muller, 1844 [T. I.] ; Stegmann, 

 1855, T. I. ; HoiJEL, 1858, T. I. ; Galbraith and Haughton, 1860 [T. I.], 

 and [T. II.]; ^Schlomilch [1865?] ; Rankine, 1866, T. I. ; "Wackerbarth, 

 1867, T. I. 



(To 4 places) [Encke, 1828] [T. I.]; [Sheepshanks 1844] [T. L] ; 

 Waenstorff's Schumacher, 1845 [T. III.]; HoIjel, 1858, T. VI.; Anony- 

 mous [1860 ?] (on a card) ; Oppolzeh, 1806. 



See also Shortrede (Comp. Log. Tab.), 1844 ; Parkhuest, 1871, T. 

 XXVII. and XXVIII. 



Art. 14. Tables of AntllogaritJims. 



In the ordinary tables of logarithms the natural numbers are all integers, 

 while the logarithms tabulated are only approximate, most of them being 

 incommensurable. Thus interpolation is in general necessary in order to 

 find the number answering to a given logarithm, even to five figures. It 

 was natural therefore to form a table in which the logarithms were exact 

 quantities, -00001, -00002, -00003 to -99999, &c., and the numbers in- 

 commensurable. Few of such tables have been constructed, as for most 

 purposes the ordinary tables are sufficiently convenient, and computers much 

 prefer to have only oue work to refer to. The earliest antilogarithmic table 

 is DoDsoN, 1742 ; and the only others of any extent are Shortrede (1844 

 and 1849) and Filipowski (1849), described in § 4. Mr, Peter Gray has 

 a large tAvclve-figurc antilogarithmic table far advanced towards completion ; 

 but whether it will be published is uncertain. 



