This method is similar to the one immediately pre ceding for squares of odd numbers, and the descrip tion and rules there given will enable us to shorten what follows for even numbers.
Preparation of the Natural Square.
t. The first strong line is to be drawn round the central square of 4, and the circumscribing lines are to be continued from that to the extremity of the square. The belts are then to be numbered 1, 2, 3, 8cc. and named odd and even belts as in the odd squares.
2. The numbers above the middle horizontal line are the minors, those below it are the majors, and the square is supposed to be divided into four quarters by the diagonals.
3. The square of 4 in the middle is excluded from the following directions, and is to be filled up in the magic square after the other numbers are inserted, by a rule to be given afterwards.
4. In the odd belts, Mark all the corner cells on the left of the upper . . . . . . . a The corner cells on the right of do. . . b The cells in the upper quarter S on the left c next the corner, . . Z on the right d The cells in do. next c and d, on the left m on the right n The cells in the lowest range of 5 on the left p minors, . . . Z on the right s The cells on the left immediately under a, . o The cells on the right immediately above s, r 5. In the even belts, Mark the corner cells in the up-on the left f per quarter, . . . 1. on the right g The cells nextf and g in do. Son the left h 2. on the right i
The cells in the lowest range of S on the left t minors, . . . t on the right v Rules for transferring the Minors from the Natural to the Magic Square.
6. The general rules, 7 and 8 for odd squares are to be followed here. .
7. Particular rules for the odd belts.
In the corners of the upper S on the left, place o quarter, 2 on the right p In any cells between o and p, and b In any cells in the lower quarter between c and d the corners, and not facing s or h, place In any cells on the left quarter betweell a and r the diagonals, place In any cells on the right quarter, between m and n the diagonals, and notfacinga orr, place 8. For the even belts.
In the corners of the upper on the left, place f quarter j - on the right g In any cells in the lower quarter, between h and i the diagonals, place - - In any cells on the left quarter, between2 v the diagonals, place - In any cells on the left quarter, between Z I do. not facing v, place - - 3 They will then appear in the following order: The lettered numbers being now transferred, the remainder of the minors must be placed, and the me jors added exactly in the same way as ordered for the odd squares, in the general rules 11, 12, 13, and 14.
The square of 4 in the middle of the natural square, being now made magic, by the rules given in the next section, and inserted in the middle of the magic square, the whole will be completed.