M A G___ 360 ' 1A G
This ingenious gentleman seems to have carried this curious .speculation farthei than any of. his predecessors in the same way.He has constructed not only a magic square of squares, but like-wise a magic circle ol circles, of which we shall give some account
for the amusement of our readers. The magic square of squaresis formed by dividing the great square. See the following ligtuc,an explanation Of which is given after the Table.
A MAGIC SQUARE OF SQUARES.
j 200
217
232
249
8
25
40
57
72
S9
104
121
136
153
168
135
i
58
39
26
7
250
231
1
| 218
1
199
186
167
154
135
122
103
90
71
198
219
230
1
251
i
27
38
59
70
91
102
123
134
155
166
187
60
37
28
5
232
229
220
197
188
165
156
133
124
101
92
69
201
216
233
24S
9
24
41
56
73
88
105
120
137
152
169
184
55
42
23
10
247
, 234
215
202
183
170
151
138
119
106
87
74
203
214
235
216
11
22
43
54
75
86
107
118
139
150
171
182
53
44
21
12
245
236
213
204
181
172
149
140
117
108
85
76
205
212
237
244
13
20
45
52
77
S4
109
116
141
148
173
180
51
46
19
14
243
238
211
206
179
174
147
142
115
110
83
78
207
210
239
242
15
18
47
50
79
82
111
114
143
146
175
178
49
48
17
16
241
240
209
208
177
176
145
144
113
112
81
80
196
221
■ 228
253 j
4
29
35
61
68
93
100
125
132
157
164
189
62
35
30
3 I
254
227 J
222
195
190
.163
158
131
126
99
94
67
194
223
1
226 |
1
255 i
1
2
31
34
63
66
95
98
127
130
159
162
191
64
33
32
1 | 256
225
224
193
192
161
160
129
128
97
96
65
This great square is divided into 256 small squares, in which all thenumbers from 1 to 256 are placed in 16 columns, which may betaken either horizontally or vertically. The properties are asfollow: '
1. The sum of the 16 numbers in each column, vertical andhorizontal, is 2056.
2. F.very half-column, vertical and horizontal, makes 1028, or
half of 2056. |
3. Half a diagonal ascending added to half a diagonal descend- i
ing, makes 2056 ; taking these half-diagonals from the ends of ar>7side of the square to the middle thereof; and so reckoning the 1 ' 1either upward or downward, or sidewise from left to right hand, ° cfrom right to left.
4. The same, with all the parallels to the half-diagonals, as manfas can be drawn in the great square : for any two of them be**)f5directed upward and downward, from the place where they beg 11 'to that where they end, their sums will make 2056. The sa»'downward and upward in like manner: or all the same if takt '«9 side" ,; v