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No. XIX.—A MAGIC SQUARE OF SEVEN

	1
	8		2
	15		9		3
	22	47	16	41	10	35	4
	29	5	23	48	17	42	11	29	5
	36		30	6	24	49	18	36	12		6
43		37	13	31	7	25	43	19	37	13		7
	44		38	14	32	1	26	44	20		14
	45	21	39	8	33	2	27	45	21
	46	15	40	9	34	3	28
	47		41		35
	48		42
	49

This Magic Square of 49 cells is constructed with a diagonal arrangement of the numbers from 1 to 49 in their proper order. Those that fall outside the central square are written into it in the seventh cell inwards from where they stand. It is interesting to find out the many combinations in which the number 175 is made up.

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	1
	8		2
	15		9		3
	22	47	16	41	10	35	4
	29	5	23	48	17	42	11	29	5
	36		30	6	24	49	18	36	12		6
43		37	13	31	7	25	43	19	37	13		7
	44		38	14	32	1	26	44	20		14
	45	21	39	8	33	2	27	45	21
	46	15	40	9	34	3	28
	47		41		35
	48		42
	49

	1
	8		2
	15		9		3
	22	47	16	41	10	35	4
	29	5	23	48	17	42	11	29	5
	36		30	6	24	49	18	36	12		6
43		37	13	31	7	25	43	19	37	13		7
	44		38	14	32	1	26	44	20		14
	45	21	39	8	33	2	27	45	21
	46	15	40	9	34	3	28
	47		41		35
	48		42
	49

	1
	8		2
	15		9		3
	22	47	16	41	10	35	4
	29	5	23	48	17	42	11	29	5
	36		30	6	24	49	18	36	12		6
43		37	13	31	7	25	43	19	37	13		7
	44		38	14	32	1	26	44	20		14
	45	21	39	8	33	2	27	45	21
	46	15	40	9	34	3	28
	47		41		35
	48		42
	49