In calculating the preceding tables of circumferences, squares, cubes, areas, &c.; the following simple rules have been adopted. 1. The Circumferences. The circumferences were obtained by adding of 3.1416, or, .3927 constantly for the first table; of 3.1416, or, .31416 for the second; and or .2618 for the third table; thus, The circumference of a circle, whose diameter is 2. The Squares. After the first square of each succeeding series was found by the common rule; twice the root of that square, plus 1, added to the square number obtained, gave the square of the next number required; thus, In finding the cubes; the first of each series was also found in the usual form, then the root of the number so obtained being multiplied by 3, and by the root of the number required, and the product, plus 1, added to the former cube, gave the cube of the next number required; thus, |