4030 



Logarithmic, Circular, Exponential Functions 



4030 



Logarithms, calculation, potential radix as 



means. Ellis, A. J. E. S. P. 31 (1881) 



398-; 32 (1881) 377-. 

 , , series for. Allman, W. [1796] Ir. 



Ac. T. 6 (1797) 391-. 

 , , (Halley's). Murray, E. [1801] 



Ir. Ac. T. 9 (1803) 3-. 

 , , . Wallace, (Prof.) W. [1808] 



Edinb. K. S. T. 6 (1812) 269-. 

 , , . Thomson, (Prof.) J. [1838] 



Edinb. E. S. T. 14 (1840) 217-. 

 , canon. Kulik, J. P. As. Nr. 4 (1826) 



47-. 

 , criticism of Thiele. H., E. L. Mth. Ts. 



4 (1862) 113-, 161-. 

 , definition. Haskell, M. W. N. Y. Mth. 



S. Bll. 2 (1893) 164-. 

 , , geometrical (polygonal spirals). Bar- 



barin, P. As. Fr. C. E. (1895) (Ft. 2) 



257. 



of different orders of numbers. Grillet, J. H. 

 Liouv. J. Mth. 10 (1845) 233-. 



and exponentials, definitions. Stringham, I. 

 N. Y. Mth. S. Bll. 2 (1893) 168-. 



, 4 figure Gaussian, in new arrangement. 



Wittstein, T. As. Nr. 51 (1859) 125-. 

 , hyperbolic and Napierian. Wackerbarth, 



A. D. As. S. M. Not. 31 (1871) 263-. 

 , . Dubois, E. Les Mondes 27 



(1872) 651-. 

 , imaginary, Graves's theory. Young, J. E. 



Ph. Mg. 25 (1844) 401-. 



of imaginary quantities. Cayley, A. [1867] 

 L. Mth. S. P. 2 (1869) 50-. 



, impossible. Gregory, D. F. Camb. Mth. 

 J. 1 (1839) 226-. 



with large number of places. Perott, J. 

 Bll. Sc. Mth. 11 (1887) 51-. 



of large numbers. Le Barbier, . Gergonne 

 A. Mth. 20 (1829-30) 366-. 



Napier and Briggs. Blanken, H. van. 

 Arch. Wisk. Gn. 1 (1856-59) 66-. 



, natural, hyperbolic and Napierian, dis- 

 cussion of terms. D g. Ts. Mt. Fys. 4 

 (1871) 28-. 



, , of numbers 1-25, to 81 figures. Vietz, 

 . As. Nr. 4 (1826) 53-. 



, , systematic treatment. Matzka, W. 

 Prag Sb. (1878) 206-. 



of negative quantities. Vincent, A. J. H. 

 Gergonne A. Mth. 15 (1824-25) 1-; 16 (1825- 

 26) 92-. 



(Vincent). Stein, J. P. Gergonne 



A. Mth. 15 (1824-25) 230-. 

 , new kind. Hill, C. J. D. Crelle J. 70 



(1869) 282-. 



of numbers, calculation. Huygens, . C. 

 E. 66 (1868) 565-. 



, , Huygens' method. Bertrand, J. 



N. A. Mth. 7 (1868) 229-. 

 , , . Thoman, F. C. E. 66 



(1868) 662-. 

 order N, application of logarithmic and 



Archimedes' spirals. Cabreira, A. Lisb. J. 



Sc. Mth. 5 (1898) 226-. 

 , origin, geometrical, and trigonometry of 



parabola. Booth, J. B. A. Ep. (1856) 



68-. 



Logarithms and powers, principal. Bjbrling, 



E. G. Stockh. Ofv. 9 (1852) 100- ; Grunert 



Arch. 21 (1853) 1-. 

 , proportional, table. Shortrede, E. Beng. 



J. As. S. 10 (1841) 713-. 

 , representation, geometrical. Fischer, E. G. 



[1804] Berl. Ab. (1804-11) tilth.} 1-. 



of sines and tangents of small angles. 

 Burnier, F. Laus. Bll. S. Vd. 8 (1864-65) 



sum and difference of two numbers, 

 calculation from logarithms of the num- 

 bers. Seeling, P. Arch. Mth. Ps. 45 (1866) 

 451-. 



or difference, calculation, tables. 

 Matthiessen, E. A. As. Nr. 2 (1824) 103-, 

 121-. 



, theory. Bouvier, L. C. Gergonne A. Mth. 



14 (1823-24) 275-. 

 , . Stein, J. P. Gergonne A. Mth. 15 



(1824-25) 105-. 

 , . Pagani, G. M. Brux. Ac. Bll. 6 



(1839) 259-. 

 , . Matzka, W. Grunert Arch. 15 (1850) 



121-. 

 , . Mourgues, . N. A. Mth. 11 (1852) 



109-. 

 , . Cayley, A. Ph. Mg. 11 (1856) 275-; 



12 (1856) 354-. 

 , . Berdelle, C. As. Fr. C. E. (1889) 



(Pt. 2) 38-. 

 , , elementary. Jamet, V. Mathesis 8 



(1888) 89-. 



and trigonometric functions, expansion in 

 series. Jack, J. Edinb. Mth. S. P. 13 

 (1895) 132-. 



of trigonometric quantities, formulae for 

 finding from one another. Wallace, (Prof.) 

 W. [1823] Edinb. E. S. T. 10 (1826) 148-.| 



ratios, tables. Elphinstone, H. W. 



QJ. Mth. 2 (1858) 222-. 

 , trigonometric, tables. Escher, P. Grunert 



Arch. 23 (1854) 264-. 



of unity. Graves, J. T. Ph. Mg. 8 (1836) 

 281-. 



M, Briggs' modulus, value to 205 places. 

 Shanks, W. [1854-71] E. S. P. 6 (1854) 

 397-; 20 (1872) 27-. 



M, fractions for value. Templeton, E. Ph. 

 Mg. 30 (1865) 434-. 



Napierian logarithms of commensurable num- 

 bers or of algebraic irrationals. Lindemann, 

 C.L.F. C. E. 95 (1882) 72-. 



, and exponential functions, analytical 

 . theory. Meray, C. Toul. Fac. Sc. A. 4 



(1890) Q, 35 pp. 

 Natural logarithm of number, method of finding 



without logarithmic tables. Spiegler, G. (xn) 



Mag. Ak. Ets. (1858) 299-. 

 Notation for printing complicated exponents. 



Glaisher, J. W. L. [1872] Mess. Mth. 2 



(1873) 107-. 

 Number whose logarithm is equal to itself, 



form. Farren, E. J. Assur. Mg. 3 (*1853) 



323-. 

 Numbers whose logarithms are rational. Arndt, 



F. Grunert Arch. 6 (1845) 57-. 



309 



