424 
[608 
608. 
[EXTRACT FROM A] REPORT ON MATHEMATICAL TABLES. 
[From the Report of the British Association for the Advancement of Science, (1873), 
pp. 3, 4.] 
It was necessary as a preliminary to form a classification of mathematical (numerical) 
tables; and the following classification was drawn up by Prof. Cayley and adopted by 
the Committee. 
A. Auxiliary for non-logarithmic computations. 
1. Multiplication. 
2. Quarter-squares. 
3. Squares, cubes, and higher powers, and reciprocals. 
B. Logarithmic and circular. 
4. Logarithms (Briggian) and antilogarithms (do.); addition and subtraction 
logarithms, &c. 
5. Circular functions (sines, cosines, &c.), natural, and lengths of circular arcs. 
6. Circular functions (sines, cosines, &c.), logarithmic. 
C. Exponential. 
7. Hyperbolic logarithms. 
8. Do. antilogarithms (e*) and h . 1 tan (45° + \ <£), and hyperbolic sines, cosines, 
&c., natural and logarithmic. 
D. Algebraic constants. 
9. Accurate integer or fractional values. Bernoulli’s Numbers, A n 0 w , &c. 
Binomial coefficients. 
10. Decimal values auxiliary to the calculation of series.