ire olidie uui ii-
'ill holdmietiailsquares,rs, 1, 3,■ It iswed; itnds pre-nbcrs <J,ssecondlumbersh ligtire>f iwm-'he fifthumbers,M figureIj to 93-
4
MAG
359
MAG
5
6
1
2
7
8
3
4
4
3
8
7
2
1
6
5
5
6
1
2
7
8
3
4 .
4
3
8
7
2
1
6
5
4
3
8
7
2
1
6
5
5
6
1
o
7
8
3
4
4
3
8
7
2
1
6
5
5
.
6
1
2
7
8
3
4
8
48
8
48
48
8
48
8
56
0
56
0
0
56
0
56
16
40
16
40
40
16
40
16
24
32
24
32
32
24
32
24
32
24
32
24
24
32
24
32
4o
16
40
16
16
40
16
40
0
56
0
56
56
0
56
0
48
8
48
8
8
48
8
48
13
54
9
50
55
16
51
12
60
3
64
7
2
57
6
61
21
46
17
42
47
24
43
20
28
35
32
39
34
25
38
29
36
27
4o
31
26
33
30
37
45
22
41
18
23
48
19
44
4
59
8
63
58
1
62
5
53
14
49
10
1 15
56
11
52
Method for Constructing Squares oddly even.
Construct the three first squares exactly in the same maimer asdirected with regard to squares which are evenly even as below.
6
2
3
4
5
1
1
5
4
3
2
6
6
2
3
4
5
1
6
2
3
4
5
1
1
5
4
3
2
6
6
2
3
4
5
1
0
30
0
0
30
0
24
6
24
24
6
24
12
18
12
12
18
12
18
12
18
18
12
18
C
24
6
6
24
6
30
0
30
30
0
30
A
6
32
3
4 | 35
l
25
11
28
27 ! 8 I 30
l |
18
20
15
16 ! 23
i
13
24
14
21
22 | . 17
19
7
29
10
9 26
12
36
o
33
Co
i 4- 1
i !
i
i ^
31
To render the square magic, leaving the corners fixed, transposethe other numbers of the upper horizontal band, and of the firstvertical one, on the left, by reversing all the remainder of theband; writing 33, 4, 3, 32, instead of 32, 3, 4, 35, and in the ver-tical one 7, 24, i8, 25 instead of 25, 18, 24, 7, as in thefollowing figure. It will be necessary also to exchange the num-bers in the two cells of the middle of the second horizontal bandat the top, of the lowest of the second vertical band on the left,and of the last on the right. The numbers in the cells A and IImust also be exchanged, as well as those in C and D ; by whichmeans we shall have the square corrected and magically arranged,as may be seen by a close inspection of the following figure, thesum of each band of which amounts to 111.
6
35
4
33
32
1
7
11
27
28
8
30
24
14
15
16
23
19
13
20
21
22
17
13
25
29
10
9
26
12
36
2
34
3
5
31