Pictured Puzzles and Word Play, by A. Cyril Pearson (ed.), a Project Gutenberg eBook.

This is a simple way by which the figure given can be divided by four straight cuts into four equal and similar parts—

No. LXII

This is the way to draw twenty-two straight lines within the circle at right-angles to each other, so that they divide it into four similar parts—

No. LXIII

These diagrams show how the upper triangle is divided into five parts, which can be rearranged to form the equilateral triangle below.

The originator of this ingenious novelty says, “The method of construction is not shown, but its application is general, and the result is easily verified by measurement.”

No. LXVI

This is an arrangement of the twenty-seven counters in nine rows, six in a row, within the borders of an equilateral triangle.

No. LXVII

All the cards of one colour, when placed alternately, can be brought together in four moves, two at a time, thus—

Place two and three beyond eight;
Place five and six between one and four;
Place eight and two between four and seven;
Place one and five between seven and three.

No. LXVIII

You can in a moment tell the number chosen on these cards, when you are told on which of them it appears,

I.				II.				III.				IV.
1	33	65	97	2	34	66	98	4	36	68	100	8	40	72	104
3	35	67	99	3	35	67	99	5	37	69	101	9	41	73	105
5	37	69	101	6	38	70	102	6	38	70	102	10	42	74	106
7	39	71	103	7	39	71	103	7	39	71	103	11	43	75	107
9	41	73	105	10	42	74	106	12	44	76	108	12	44	76	108
11	43	75	107	11	43	75	107	13	45	77	109	13	45	77	109
13	45	77	109	14	46	78	110	14	46	78	110	14	46	78	110
15	47	79	111	15	47	79	111	15	47	79	111	15	47	79	111
17	49	81	113	18	50	82	114	20	52	84	116	24	56	88	120
19	51	83	115	19	51	83	115	21	53	85	117	25	57	89	121
21	53	85	117	22	54	86	118	22	54	86	118	26	58	90	122
23	55	87	119	23	55	87	119	23	55	87	119	27	59	91	123
25	57	89	121	26	58	90	122	28	60	92	124	28	60	92	124
27	59	91	123	27	59	91	123	29	61	93	125	29	61	93	125
29	61	93	125	30	62	94	126	30	62	94	126	30	62	94	126
31	63	95	127	31	63	95	127	31	63	95	127	31	63	95	127

V.				VI.				VII.
16	48	80	112	32	48	96	112	64	80	96	112
17	49	81	113	33	49	97	113	65	81	97	113
18	50	82	114	34	50	98	114	66	82	98	114
19	51	83	115	35	51	99	115	67	83	99	115
20	52	84	116	36	52	100	116	68	84	100	116
21	53	85	117	37	53	101	117	69	85	101	117
22	54	86	118	38	54	102	118	70	86	102	118
23	55	87	119	39	55	103	119	71	87	103	119
24	56	88	120	40	56	104	120	72	88	104	120
25	57	89	121	41	57	105	121	73	89	105	121
26	58	90	122	42	58	106	122	74	90	106	122
27	59	91	123	43	59	107	123	75	91	107	123
28	60	92	124	44	60	108	124	76	92	108	124
29	61	93	125	45	61	109	125	77	93	109	125
30	62	94	126	46	62	110	126	78	94	110	126
31	63	95	127	47	63	111	127	79	95	111	127

No. LXIX

This diagram shows that the postman can take a course which involves fewer turnings than that indicated, when he had to pass round eighteen corners.

No. LXX

This shows how a square can be divided into three parts, so that these can be reunited to form No. 2 and No. 3 of the diagram.

No. LXXI

This position fulfils the conditions of the puzzle. Obviously it could not occur in actual play.

No. LXXV

The dotted lines in this diagram show where the flag with a cross taken out from its centre must be cut, so that the two pieces can be rejoined to form a perfect flag.

No. LXXVI

No. LXXVIII

This track takes him completely round every block, passing only once round four of them.

No. LXXIX

Here is a very simple and symmetrical arrangement, by which on a board of 36 squares twelve counters are so placed that there are two, and two only, on each line, column, and diagonal.

No. LXXXI

In this nest of triangles of five tiers there are 1196 separate triangles, or nearly double the number (653) of a similar nest of four tiers.

In such a figure with 10,000 tiers there would be 6,992,965,420,332 different triangles!

No. LXXXII

The match puzzle, in which eight matches set in a row are to be rearranged in four pairs, by passing one match over two four times—

is solved, if the matches are numbered 1, 2, 3, 4, 5, 6, 7, 8, by moving 4 to 7, 6 to 2, 1 to 3, and 5 to 8.

No. LXXXIII

The lower diagram shows how, when three matches are removed from the four squares, the remaining nine can be readjusted to represent three squares—

No. LXXXIV

This diagram shows how different arrangements of four matches are possible in all the thirty-six cells of the square.

In every case a whole number or a fraction is represented, with such signs or lines as are necessary, and only four matches are used.

No. LXXXV

It will be seen from the diagram below that the sentence, when filled in as required, is “Rise to vote, sir.”

As this sentence is a perfect palindrome, and reads alike from either end, it can be traced in a great number of different directions.

No. LXXXVII

This subtraction sum may be very neatly worked, without reducing the distances to inches, thus:—

Instead of borrowing one foot, we borrow half-a-foot—i.e., 6 inches; taking 5 from the 6 we have 1 as a remainder; now carrying the 6 inches to the 1 foot, and borrowing half a yard, and subtracting, we have 0 as remainder; carrying the half-yard to the 5 yards, we borrow the full 5¹⁄₂ yards, which are one rod, and proceed in the usual manner afterwards, with the result that is shown.

No. LXXXIX

No. XC

No. XCI

The following diagram shows how the two ladies and their squires represented by white Knights and black, and dressed to impersonate Light, Liberty, Love, and Learning, started from the four comer squares, and stepped a figure which exhibited at each pause a revolving square, and in three paces came together in the centre, by a course traced upon the lines of their combined monograms.

No. XCII

are disentangled by reading the lowest line with each of the upper ones in turn. Thus the first maxim runs:—“Never tell all you know, he who tells all he knows often tells what he should not,” and so on throughout.

No. XCIII

The dislocated circle is solved by making a single cut through the dotted line shown in the diagram below, and join up the pieces.




♘	♖	♚	♖

◎					◎
		◎	◎
	◎			◎
	◎			◎
		◎	◎
◎					◎


miles		furlongs		rods		yards		feet		inches
1	„	0	„	0	„	0	„	0	„	0
		7	„	39	„	5	„	1	„	5
0	„	0	„	0	„	0	„	0	„	1

								●
			●
	●
						●
		●
					●
							●
●
				●

K ♢		Q ♠		K ♡

	A ♣	A ♢	A ♠

10 ♡		K ♣		J ♢

tell	you know	tells	knows	tells	he should not
do	you think of	does	thinks of	does	is not good
believe	you hear	believes	hears	believes	is false
spend	you have	spends	has	spends	he needs
judge	you see	judges	sees	judges	is not there
never	all	he who	all he	often	what