88 MATHEMATICAL FORMULA AND ELLIPTIC FUNCTIONS 



Table III, p. 90. sin 6, cos 0; 6 = o.i to 6 = 10.0, interval o.i, 15 decimal 

 places. 



J. Peters (Abh. d. K. P. Akad. der Wissen., Berlin, 1911) has given sines and 

 cosines for every sexagesimal second to 21 places. 



hav 6, logic hav 6: Bowditch, American Practical Navigator, five-place 

 tables, o 180, for 15" intervals. 



Tables for Solution of Spherical Triangles. 



Aquino's Altitude and Azimuth Tables, London, 1918. Reprinted in Hydro- 

 graphic Office Publication, No. 200, Washington, 1918. 



Hyperbolic Functions. 



The Smithsonian Mathematical Tables: Hyperbolic Functions, contain the 

 most complete five-place tables of Hyperbolic Functions. 



Table I. The common logarithms (base 10) of sinh u, cosh u, tanh u, coth u: 

 u = o.oooi to u = o.iooo interval o.oooi, 

 u o.ooi to u = 3.000 interval o.ooi, 

 u = 3.00 to u = 6.00 interval o.oi. 



Table II. sinh u, cosh u, tanh u, coth u. Same ranges and intervals. 

 Table III. sin u, cos u, logio sin u, logio cos u: 



u = o.oooi to u = o.iooo interval o.oooi, 



u = 0.100 to u = i. 600 interval o.ooi. 



Table IV. Iogi e u (7 places), e u and e^~ u (7 significant figures): 

 u = o.ooi to u = 2.950 interval o.ooi, 

 u = 3.00 to u = 6.00 interval o.oi, 

 u = i.o to u = 100 interval i.o (9~io figures). 



Table V. five-place table of natural logarithms, log u. 

 u = i.o to u = 1000 interval i.o, 

 u = 1000 to u = 10,000 varying intervals. 



Table VI. gd u (7 places); u expressed in radians, u = o.ooi to u = 3.000, 

 interval o.ooi, and the corresponding angular measure, u = 3.00 to u = 6.00, 

 interval o.oi. 



Table VII. gd~ l u, to o'.oi, in terms of gd u in degrees and minutes from 

 o i' to 89 59'. 



Table VIII. Table for conversion of radians into angular measure. 



