ON CALCULATION OF MATHEMATICAL TABLES. 



295 



Hyperbolic Sines and Cosines, Sinh x and Cosh x. 



The exponential and other functions were calculated by Bretschneider* to twenty 

 places of decimals for the first ten integer values of x. Tables of the first hundred 

 multiples of e°'' and e~°'' were constructed to the same number of places to find inter- 

 mediate values of both e' and e~^ : the results were checked by comparing the values 

 of, say, e"-' obtained from e'-° and e^-". The calculations were carried to eighteen or 

 more decimals : fifteen places are given in the following tables of sinh x and cosh x. 



* C. A. Bretschneider. Archiv der Math. v. Phya., Band 3, 1843, s. 28-34. 



