Chapter D: U 2 9 (1)

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E H 6 5
E D 8 3
A P 1 0
S T 7 4
----- -----
D E A 2 6 1
===== =====

No. XL

The four words, seek, slab, leek, moan, which were placed on the white squares when recast form the following combination:--

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║###│ M │###│ A │###│ S │###│ K ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ A │###│ B │###│ L │###│ E │###║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║###│ S │###│ L │###│ O │###│ E ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ K │###│ E │###│ E │###│ N │###║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

These fresh words read alike from side to side, and zigzag from top to bottom.

No. XLI

These are the four words, recast by anagram from afar, task, seat, leal, and which now form a perfect word square.

╔═══╤═══╤═══╤═══╗
║ F │ A │ S │ T ║
╟───┼───┼───┼───╢
║ A │ R │ E │ A ║
╟───┼───┼───┼───╢
║ S │ E │ A │ L ║
╟───┼───┼───┼───╢
║ T │ A │ L │ K ║
╚═══╧═══╧═══╧═══╝

No. XLII

The word square is recast thus--

╔═══╤═══╤═══╤═══╤═══╗
║ c │ r │ e │ s │ s ║
╟───┼───┼───┼───┼───╢
║ r │ e │ a │ c │ h ║
╟───┼───┼───┼───┼───╢
║ e │ a │ g │ e │ r ║
╟───┼───┼───┼───┼───╢
║ s │ c │ e │ n │ e ║
╟───┼───┼───┼───┼───╢
║ s │ h │ r │ e │ d ║
╚═══╧═══╧═══╧═══╧═══╝

Its words are spelt with the same letters as the words _chess_, _greed_, _canes_, _rears_, _cheer_, which formed the original square, but did not read alike from top to bottom, and from left to right, as these do.

No. XLIII

The five familiar proverbs hidden in this square of 169 letters are: A rolling stone gathers no moss. Too many cooks spoil the broth. A live dog is more to be feared than a dead lion. You cannot eat your cake and have it. Peace hath her victories no less renowned than war.

R E N O W N E D T H A N W
S Y O U R C A K E A N D A
S T E T O B E F E A R H R
E A R K S S P O I L E A F
L E O O H E R S N T D V O
O T M O T L I N O H T E U
N O S C A L A G M E H I R
S N I Y G O R S O B A T S
E N G N E N O T S R N P A
I A O A M O O T S O A E W
R C D E V I L A H T D A S
O U O Y N O I L D A E C A
T C I V R E H H T A H E Z

No. XLIV

If the shaded circles are cut out and the diagram is placed squarely over the jumbled letters, with the I., II., III., IV. in turn at the top left-hand corner, this sentence is disclosed--

Le premier Supplément du Journal de la Jeunesse a été publié dans le
Numéro du Dix-neuf Juin Mil huit cent soixante-quinze.

No. XLV

This is the way to reconstruct Sam Loyd’s black pony--so that, while its legs and tail are strangely misplaced, they form the spirited outline of a white galloping horse.

No. XLVI

Here is the key to Sam Loyd’s ingenious puzzle--

which shows the jockeys and horses in full racing trim.

No. XLVII

This is the inevitable result of the boy’s attempt to annex with his mouth the sugar on the chair--

No. XLVIII

The leap-frog puzzle is solved in nine hops thus:--

First jump from stool 2, then from 5, 3, 6, 7, 1, 3, and 6 in turn to the vacant stools.

No. LV

This diagram shows that the seven wheels, which spin so merrily when the paper is rotated in the hand, can be divided off into separate enclosures by only three straight lines--

No. LVI

The diagram below shows how the market-gardener, keeping one-fourth of his square field for himself in the shape of a triangle, was able to divide the remainder so that each of his four sons had an equal portion of similar shape--

[Illustation]

No. LVII

Here is a drawing of the perfect Latin cross--

[Illustation]

The position of the two long pieces does not readily suggest itself to those who try to arrange the five on paper with a pencil.

No. LVIII

This diagram shows the effectual means taken by four rich men, whose houses were further afield, to exclude four poor men from all access to a central lake, that they might reserve the fishing for themselves.

They built a high wall on the lines that are indicated which, while it left a way for each of them to the water, altogether shut it away from their poor neighbours.

No. LIX

This is the square that can be formed with the ten pattern pieces given--

No. LX

The dotted lines in this diagram show how the figure can be divided into nine parts by four straight cuts

which can be reunited to form a perfect cross.

No. LXI

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--

and each part has three dots within its borders.

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--

┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐ ┌───┐
│ A │ │ 2 │ │ 3 │ │ 4 │ │ 5 │ │ 6 │ │ 7 │ │ 8 │
│ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │
│ ♠ │ │ ♡ │ │ ♣ │ │ ♢ │ │ ♣ │ │ ♢ │ │ ♣ │ │ ♡ │
└───┘ └───┘ └───┘ └───┘ └───┘ └───┘ └───┘ └───┘

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│ ║
║ └───────────────┘└───────────────┘└───────────────┘ ║
╚════════════════════════════════════════════════════════════════════╝

by adding together the numbers at the top left-hand corner of these.

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.

●┅┅┅●┅┅┅●┅┅┅●┅┅┅●┅┅┅●┅┅┅●┅┅┅●
┇ ┇
● ●┅┅┅●┅┅┅●┅┅┅●┅┅┅●┅┅┅● ●
┇ ┇ ┇ ┇
● ● ●┅┅┅●┅┅┅●┅┅┅● ● ●
┇ ┇ ┇ ┇ ┇ ┇
● ● ● ●┅┅┅○ ● ● ●
┇ ┇ ┇ ┇ ┇ ┇ ┇ ┇
● ● ● ● ● ● ● ●
┇ ┇ ┇ ┇ ┇ ┇ ┇ ┇
● ● ● ● ● ● ● ●
┇ ┇ ┇ ┇ ┇ ┇ ┇ ┇
● ● ● ● ● ●┅┅┅● ●
┇ ┇ ┇ ┇ ┇ ┇
●┅┅┅● ●┅┅┅● ●┅┅┅●┅┅┅●┅┅┅●

It will be seen that he has to turn only fifteen times.

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.

Try it with scissors and paper or cardboard.

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.

The piece on the right is moved upward, and to the left.

No. LXXVI

This is a way in which the eleven parts can be readjusted to form a square:--

No. LXXVIII

This shows the shortest course--

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.

╔═══╤═══╤═══╤═══╤═══╤═══╗
║ ◎ │ │ │ │ │ ◎ ║
╟───┼───┼───┼───┼───┼───╢
║ │ │ ◎ │ ◎ │ │ ║
╟───┼───┼───┼───┼───┼───╢
║ │ ◎ │ │ │ ◎ │ ║
╟───┼───┼───┼───┼───┼───╢
║ │ ◎ │ │ │ ◎ │ ║
╟───┼───┼───┼───┼───┼───╢
║ │ │ ◎ │ ◎ │ │ ║
╟───┼───┼───┼───┼───┼───╢
║ ◎ │ │ │ │ │ ◎ ║
╚═══╧═══╧═══╧═══╧═══╧═══╝

There are other arrangements which fulfil the conditions.

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.

│ ╲ ╱ │
│ ╳ │ = 1
│ ╱ ╲ │

│ │ │
│ │ ── │ = 1
│ │ │
___
╱ │
╲ ╱ │ = 1
V │

│ │ │
│ ──+── │ = 2
│ │ │

│ │
│ │
│ │
─── = 2
│
│
│

│ │ │ │
│ │ │ │ = 4
│ │ │ │

╲ ╱ │
╲ ╱ ── │ = 4
V │

╲ ╱
╲ ╱
V
───── = 5
│
│
│

___
╱ │
╱ ── │ = 6
╱ │

___
╱
╱
╱
─── = 7
│
│
│

╲ ╱ │ │
╲ ╱ │ │ = 7
V │ │

╲ ╱ │
╳ ── │= 9
╱ ╲ │

│ │ │
│ │ ── │ = 10
│ │ │

╲ ╱
╳
╱ ╲
─── = 10
│
│
│

│ │
│ │
│ │
─── = 11
│
│
│

╲ ╱ │ │
╳ │ │ = 12
╱ ╲ │ │

│ ╱│
│ ─┼─ = 14
│ │

╲ ╱ ╲ ╱
╳ ╲ ╱ = 15
╱ ╲ V

╲ ╱ ╲ ╱
╳ ╳ = 20
╱ ╲ ╱ ╲

╲ ╱ │
╳ │ = 40
╱ ╲ │___

╱│ │
─+─ │ = 41
│ │

│ │
│ ─── │ = 49
│___ │

│
│
│___
───── = 50
│
│
│

│ │ │
│ │ │ = 52
│___ │ │

│ ╲ ╱
│ ╳ = 60
│___ ╱ ╲

___
│ │ ╱
│ │ ╱ = 117
│ │ ╱

___
│ ╱ │
│ ╱ │ = 171
│ ╱ │

___
╱ │ │
╱ │ │ = 711
╱ │ │

│╲ ╱│
│ V │ = 1000
│ │

────
│ │
│ │ = 0
│ │
────

│
│
│ 1
─── = ───
│ │ 2
│ │
│ │

│
│
│ 1
───── = ───
╲ ╱ 5
╲ ╱
V

│
│
│ 1
──── = ───
___ 7
╱
╱
╱

│
│
│ 1
─── = ───
╲ ╱ 10
╳
╱ ╲

│
│
│ 1
─── = ───
│ │ 11
│ │
│ │

│
│
│ 1
──── = ───
│ 50
│
│__

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.”

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║ R | I | S | E | T | O | V | O | T | E | S | I | R ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ I | I | | | | | | | | | | I | I ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ S | | S | | | | | | | | S | | S ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ E | | | E | | | | | | E | | | E ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ T | | | | T | | | | T | | | | T ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ O | | | | | O | | O | | | | | O ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ V | | | | | | V | | | | | | V ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ O | | | | | O | | O | | | | | O ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ T | | | | T | | | | T | | | | T ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ E | | | E | | | | | | E | | | E ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ S | | S | | | | | | | | S | | S ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ I | I | | | | | | | | | | I | I ║
╟───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───┼───╢
║ R | I | S | E | T | O | V | O | T | E | S | I | R ║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

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:--

╔═══════════════════════════════════════════════╗
║miles furlongs rods yards feet inches║
║ 1 „ 0 „ 0 „ 0 „ 0 „ 0 ║
║ 7 „ 39 „ 5 „ 1 „ 5 ║
║ ─────────────────────────────────────────── ║
║ 0 „ 0 „ 0 „ 0 „ 0 „ 1 ║
║ ═══════════════════════════════════════════ ║
║ ║
╚═══════════════════════════════════════════════╝

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

This is an arrangement of nine counters on the irregular board of 67 squares.

┏━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┯━━━┓
┃###| |###| |###| |###| |#●#┃
┗━━━╅───┼───┼───┼───┼───┼───┼───╆━━━┛
┃###| |#●#| |###| |###┃
┠───┼───┼───┼───┼───┼───┼───┨
┃ ● |###| |###| |###| ┃
┠───┼───┼───┼───┼───┼───┼───┨
┃###| |###| |###| ● |###┃
┗━━━╅───┼───┼───┼───┼───╆━━━┛
┃#●#| |###| |###┃
┏━━━╃───┼───┼───┼───┼───╄━━━┓
┃###| |###| |#●#| |###┃
┠───┼───┼───┼───┼───┼───┼───┨
┃ |###| |###| |###| ● ┃
┏━━━╃───┼───┼───┼───┼───┼───┼───╄━━━┓
┃ ● │###| |###| |###| |###│ ┃
┠───┼───┼───┼───┼───┼───┼───┼───┼───┨
┃###| |###| |#●#| |###| |###┃
┗━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┷━━━┛

No two counters are in the same row, column, or diagonal.

No. XC

This is the arrangement of nine cards in ten rows, three in each row--

┌───┐ ┌───┐ ┌───┐
│ K │ │ Q │ │ K │
│ │ │ │ │ │
│ ♢ │ │ ♠ │ │ ♡ │
└───┘ └───┘ └───┘

┌───┐ ┌───┐ ┌───┐
│ A │ │ A │ │ A │
│ │ │ │ │ │
│ ♣ │ │ ♢ │ │ ♠ │
└───┘ └───┘ └───┘

┌───┐ ┌───┐ ┌───┐
│ 1 │ │ K │ │ J │
│ 0 │ │ │ │ │
│ ♡ │ │ ♣ │ │ ♢ │
└───┘ └───┘ └───┘

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

The 5 maxims in these 36 cells--

╔════════╤════════╤════════╤════════╤════════╤════════╗
║ │ │ │ │ │ he ║
║ tell │you know│ tells │ knows │ tells │ should ║
║ │ │ │ │ │ not ║
╟────────┼────────┼────────┼────────┼────────┼────────╢
║ │ you │ │ thinks │ │ is ║
║ do │ think │ does │ of │ does │ not ║
║ │ of │ │ │ │ good ║
╟────────┼────────┼────────┼────────┼────────┼────────╢
║ │ │ │ │ │ ║
║ believe│you hear│believes│ hears │believes│is false║
║ │ │ │ │ │ ║
╟────────┼────────┼────────┼────────┼────────┼────────╢
║ │ │ │ │ │ ║
║ spend │you have│ spends │ has │ spends │he needs║
║ │ │ │ │ │ ║
╟────────┼────────┼────────┼────────┼────────┼────────╢
║ │ │ │ │ │ is ║
║ judge │ you see│ judges │ sees │ judges │ not ║
║ │ │ │ │ │ there ║
╟────────┼────────┼────────┼────────┼────────┼────────╢
║ │ │ │ │ │ ║
║ never │ all │ he who │ all he │ often │ what ║
║ │ │ │ │ │ ║
╚════════╧════════╧════════╧════════╧════════╧════════╝

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.

The second diagram shows how this figure is arrived at, by drawing three similar and intersecting circles, which have their centres at the angles of an equilateral triangle. The piece cut off by the dotted line corresponds to the section that completes the circle below.

No. XCV

The catch-words Cleans, Scrubs, Scours, Polishes, which proclaim the merits of an “Old Dutch Cleanser” on the sails of this windmill,

can be recast so that the same letters form the singularly appropriate sentence--

“O rub on, sir, success spells cash!”

No. XCVI

The following diagram shows the solution of this new chess puzzle, and fulfils its conditions that no Queen should attack a Queen, no Rook a Rook, no Bishop a Bishop, and no Knight a Knight.

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║ B ║#B#║ B ║#B#║ Q ║#R#║ B ║#B#║
╟───┼───┼───┼───┼───┼───┼───┼───║
║###║ N ║#R#║ N ║###║ N ║###║ Q ║
╟───┼───┼───┼───┼───┼───┼───┼───║
║ N ║#R#║ N ║#Q#║ N ║###║ N ║#B#║
╟───┼───┼───┼───┼───┼───┼───┼───║
║#Q#║ N ║###║ N#║ R#║ N ║###║ B ║
╟───┼───┼───┼───┼───┼───┼───┼───║
║ B ║###║ N ║###║ N ║###║ Q ║#R#║
╟───┼───┼───┼───┼───┼───┼───┼───║
║#B#║ Q ║###║ N ║###║ N ║#R#║ N ║
╟───┼───┼───┼───┼───┼───┼───┼───║
║ N ║###║ N ║#R#║ N ║#Q#║ N ║###║
╟───┼───┼───┼───┼───┼───┼───┼───║
║#R#║ B ║#Q#║ N ║#B#║ B ║#B#║ N ║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

Mr Dudeney explains that only 8 Queens or 8 Rooks can be thus placed upon the board, while the greatest number of Bishops is fourteen, and of Knights thirty-two. But as all Knights must be placed on squares of the same colour, while the Queens occupy four of each colour, and the bishops seven of each colour, it follows that only twenty-one Knights can be placed, and the arrangement shown above contains the maximum number of these pieces under the conditions.

No. CII

This diagram shows the order in which the syllables or words of the eight-line verse are to be read on the course of a Knight’s moves at chess--

╔══════╤══════╤══════╤══════╤══════╤══════╤══════╤══════╗
║ 14 │ 55 │ 22 │ 37 │ 12 │ 51 │ 18 │ 35 ║
║ sor │ to │ king │ good │ say │ luck │ loy │ eth ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ 23 │ 38 │ 13 │ 54 │ 17 │ 36 │ 11 │ 50 ║
║ and │ moth │ a │ soon │ dis │ our │ to │ bad ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ 56 │ 15 │ 40 │ 21 │ 52 │ 9 │ 34 │ 19 ║
║ place│ ry │church│ his │ force│ is │ hat │ al ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ 39 │ 24 │ 53 │ 16 │ 33 │ 20 │ 49 │ 10 ║
║ er │ queen│ him │ wight│ he │ to │ may │ truth║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ 2 │ 57 │ 28 │ 41 │ 8 │ 61 │ 32 │ 47 ║
║ man │ his │ and │ and │ chess│ es │knight│ op’s ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ 25 │ 42 │ 1 │ 60 │ 29 │ 48 │ 7 │ 62 ║
║ a │ sneer│ the │ and │ un │ lawn │ of │ tates║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ 58 │ 3 │ 44 │ 27 │ 64 │ 5 │ 46 │ 31 ║
║ cas │ that │ at │ less │ pawn │ no │ bish │ lant ║
╟──────┼──────┼──────┼──────┼──────┼──────┼──────┼──────╢
║ 44 │ 26 │ 59 │ 4 │ 45 │ 30 │ 63 │ 6 ║
║ eth │ faith│ tles │ hath │ the │ gal │ in │ love ║
╚══════╧══════╧══════╧══════╧══════╧══════╧══════╧══════╝

They run thus:--

The man that hath no love of chess,
Is, truth to say, a sorry wight;
Disloyal to his King and Queen,
A faithless and ungallant Knight.
He hateth our good mother Church,
And sneereth at the bishop’s lawn;
May bad luck force him soon to place
His castles and estates in pawn!

No. CV

If such a network as is shown in the diagram below is drawn on clear tracing-paper and placed on the page of a book, it will conceal the words beneath it.

But if, while lying close to the page, it is moved quickly round and about, the letters and words will be distinctly seen, just as objects on the other side of close lattice-work become visible as we pass them quickly in a train.

No. CVI

These are the results of cutting, in the direction of the dotted lines, completely round a simple paper ring, a ring with one twist, and a ring with a double twist.

We have (1) two simple rings; (2) one large-twisted ring; (3) two rings linked together. If a third twist is given before cutting, a curious knot is formed.

CVII

The string when it has been placed in the position shown in the diagram, and two buttons larger than the hole have been fixed upon its ends can be easily removed if the narrow slip of the leather is drawn through the hole.

CVIII

The scissors, when securely fastened, as is shown in the diagram,

can be easily released by passing the loop upward through the handle, and then completely over them.

CIX

The primitive wolf-trap consisted of two circular fences higher than a wolf could scale, with a gate as was shown on the former diagram. To set the trap a lamb was placed in the safe centre, and the gate was opened as is shown below--

Attracted by the bleating of the lamb, the wolf entered the outer circle, made his way round, and presently pushed aside the gate, which closed with a spring, and shut off all escape.

No. CXII

When you have told someone to think of a number between 5 and 15, and while you are not looking, to count upwards from the lowest card step, and round in the direction indicated by the arrow, until that number is reached, and then, starting afresh with “one” on that card to count backwards round the semi-circle, this time _not including the central upright or the steps below it_, until the number thought of is again reached, you can tell at once which is the final card arrived at, for it will be as many places _upwards on the left_ as there are _step cards and their upright_.

Thus if there are 3 steps, it must always be the fourth card upwards on the left of the semi-circle. To keep up the puzzle, the number of steps should each time be changed, on the pretext that their number does not signify.

No. CXIII

This diagram shows how the apple may be divided into six pieces by two straight cuts, so that there shall be a gash in each piece.

First cut the apple through the dotted line, then place the upper piece shown at the side of the larger piece, and make the second cut straight through, where the line is drawn.

No. CXVII

The sixpence under the middle of the tumbler can be easily removed thus--

Slip larger coins under opposite edges of the tumbler to raise it slightly, and then scratch firmly on the cloth, from just outside the rim, in the direction you wish the sixpence to take. It will at once respond, and makes its own way gradually outside the circle that had surrounded it.

No. CXVIII

This is the way to draw the spiral--

Tie a piece of strong thread with a loop at its end round the upper part of the windings of a screw. Drive the screw into a board, through the middle of a card, wind the thread down the screw so that its loop just reaches the card, place a pencil in this loop, and draw the spiral freely, unwinding the thread from the grooves of the screw, and keeping it always taut. A perfect spiral is the result.

No. CXXII.

The secret of the talking head is simple indeed when you know it.

Between the front and two side legs of the table mirrors are fixed, which reflect the similar surroundings, so that the performer, kneeling behind these, and putting his head through a hole in the table top, completely conceals his body and limbs from the audience.

No. CXXV

The picture charade is completed thus--

My first may blow the candle out,
My second then comes in;
My whole in water moves about
Without an oar or fin--

and is solved by _Puffin_.

No. CXXVI

When the walnuts and cobnuts have been arranged as is shown on the diagram--

they can be shifted so that they stand alternately, by moving two that are close together at a time, in four moves, as follows:--

(1) Move 2 and 3 beyond 8.

(2) Move 5 and 6 between 1 and 4.

(3) Move what are now 6th and 7th in the gap.

(4) Move what are now 1st and 2nd in the gap, and the alternate arrangement is complete.

No. CXXVII

The question suggested by this picture riddle is: Why is a waiter like a racehorse? And the solution is: Because he runs for cups and plates.

WORD PLAY SOLUTIONS

The paradox--

Two words in our region of puzzledom pose,
And claim, through the passage of years,
That neither the pages of Johnson disclose,
While either in Murray appears.

is solved by the lines--

This key unlocks our puzzle-box,
Johnson and Murray both give “neither,”
While, to complete the paradox,
Murray and Johnson both give “either!”

The verse is completed thus--

Rude Eurus murmurs, trustful buds uncurl,
Bulbs push, due culture nurtures fruitful flush;
Thrush builds, full sunhued plumes furze tufts unfurl,
Up bursts, pure flute-fugue, Bulbul’s tuneful gush.

The enigma--

I see my first, I see my next,
And both I sigh and see
Joined to my third, which much perplexed
And sorely puzzled me.
’Twas fifty, and ’twas something more,
Reversed ’twas scarce an ell,
With first and next it forms a whole
Clear as a crystal bell.
What is my whole? A splendid tear
Upheld in cruel thrall;
Blow soft, ye gales, bright sun, appear!
And bid it gently fall.

is solved by ICICLE.

The charade--

Take for my first a quadruped,
Transpose one for my second;
My whole, a biped, quick or dead
Is dainty reckoned.

is solved by _Pigeon_ (_one_ becomes _eon_).

Byron’s enigma--

I am not in youth, nor in manhood, nor age,
But in infancy ever am known;
I’m a stranger alike to the fool and the sage,
And though I’m distinguish’d in history’s page
I always am greatest alone.

I am not in earth, nor the sun, nor the moon;
You may search all the sky--I’m not there;
In the morning and evening--though not in the noon--
You may plainly perceive me--for, like a balloon,
I am midway suspended in air.

Though disease may possess me, and sickness and pain,
I am never in sorrow nor gloom;
Though in wit and in wisdom I equally reign,
I’m the heart of all sin, and have long lived in vain,
Yet I ne’er shall be found in the tomb!

is solved by the letter I.

I am bright as a whole
Till you cut off my head;
Then as black as a coal,
Or a mortal instead.
Shaken up and recast
We with science are found,
Read us back from the last
And we live underground.

is solved by _Star_, _tar_, _arts_, _rats_.

Horace Smith’s charade--

In arts and sciences behold my first the watchword still,
All prejudice must bend the knee before its iron will;
Yet “Onward!” is the Briton’s cry--a cry that doth express
A holy work but half begun, and speaks of hopefulness.
In palace or in lonely cot its name alike is heard,
And in the Senate’s lordly halls sit my second and my third.
Strange paradox, though for my first my total is designed,
Sad marks of vice and ignorance we in that whole may find.

is solved by _Reformatory_.

Untouched I tell of budding growth and life;
Beheaded I lead upward more or less;
Again--with varied fragrance I am rife;
Again--but little value I express.

is solved by _Nascent_, _ascent_, _scent_, _cent_.

The enigma--

Search Holy Writ and you will see
A victory was won by me.
Behead me, and I may be found
In water or on hilly ground.
Behead again, and then transpose,
A snare my letters now disclose.
If yet again my head you sever,
No matter how sharp-set or clever,
’Tis all in vain you look about,
For no one yet has found me out.

is solved by _Sling_, _ling_, _gin_, _in_.

The charade--

Said a lawyer aside to his friend in the court,
“Now I’d bet, were we not in this place,
That my first is my second a bottle of port,”
Then bright with my whole shone his face.

is solved by _Pleasure_.

The answer to the problem--

Six horse ’buses and four motor ’buses travel each hour from Temple
Bar to the Bank. The horses take 15 minutes, and the motors 10 minutes
on the journey.

If I come to Temple Bar, and wish to reach the Bank as soon as
possible, shall I take the first horse ’bus that turns up, or wait for
a motor? It must be assumed that I can only see a ’bus as it actually
passes me--

is (1) Take a motor if it comes first.

(2) Take a horse ’bus if it comes first, and comes within 2¹⁄₂ minutes
of waiting.

(3) Wait for a motor if a horse ’bus comes first, but does not come
till after 2¹⁄₂ minutes.

As I may have to wait 0 minutes or 15 minutes, the average time of waiting will be 7¹⁄₂ minutes.

If I wait _x_ min., and a horse ’bus arrives, I should reach the Bank in 15 mins, if I took it.

If I waited longer for a motor, which, on the average, will now turn up in 7¹⁄₂ - _x_ mins., I should reach the Bank in 17¹⁄₂ - _x_ mins.

If, therefore, _x_ is greater than 2¹⁄₂, the motor is the quicker.

The historical charade--

My first, if foolishly or rashly taken,
May mar the future prospects of your life.
My second, by her fickle lord forsaken
(Sad type of many a gentle, patient wife).
May toil and moil to feed his many babies,
While he goes flirting off with other ladies.
The thrifty monarch of a former age
My whole a place in Britain’s history fills.
Immortalised in Shakespeare’s magic pages
As one who’d fain reform his tailor’s bills!

is solved by _Stephen_ (Step-hen).

My _second_, worn with pompous pride,
My _first_ had dangling at his side,
On chain securely hooked.
My _first_ he came from o’er the sea,
A bundle of conceit looked he,
And he was all he looked.

She led him to the village green,
Where in desponding mood was seen
My _whole_, with drooping head.
“Behold,” she said, “a perfect, true
And striking likeness, sir, of you!”
And, laughing, gaily fled.

is solved by _Donkey_.

Lewis Carroll turns WHEAT into BREAD, changing one letter each time, and preserving their general order throughout, thus--

WHEAT; cheat; cheap; cheep; creep; creed;
breed; BREAD.

_Unity_ is a probable solution of the old enigma, part of which evidently refers to “a house divided against itself”--

I’m one among a numerous host,
And very useful in my post;
There’s not a house in all the land
Without me properly can stand.
Though men disputed long ago
Whether I did exist or no,
Once more some thousands have been slain
Because they could not me attain.

The anagram proverbs, “These grave lips chatter no ill,” and “Elephants, all to richest giver,” are both founded on _Little pitchers have long ears_, and spelt with exactly the same letters.

The charade--

My first of rudeness has a sound;
The rest is in a city found;
My whole to win its way is bound.

is solved by _Pertinacity_.

The buried potentate in the lines--

My first is in cake, but not in bun;
My second in light, but not in sun;
My third is in night, but not in day;
My fourth is in game, but not in play;
My fifth is in head, but not in tail;
My sixth is in wind, but not in sail;
My seventh in wrong, but not in right;
My eighth is in battle, but not in fight;
My ninth is in sword, but not in knife,
My tenth is in lady, but not in wife;
My whole is a monarch at war with strife.

is _King Edward_.

The charade--

My first except when it is old
Is never seen or heard;
When it is heard the sound is tolled
Out of a Jewish beard.
My next was in imperial Rome,
It was her power and might;
Then you had but to write _you wish_,
And straightway ’twas in sight.

My whole was Frank
Of royal rank.

is solved by _Clovis_ (_vis_ in Latin is both _power_ and _you wish_).

How great in olden days my power,
Oft have I saved a castle tower
From war’s invading tide.
Transpose me, and how great my fall!
I am then the smallest of the small,
That nothing can divide.

is solved by _Moat_--_atom_.

The puzzle--

This compact Enigma take,
All apart its letters shake.
Let your 6, 3, 5 be high,
Like 5, 1, 2 do or die.
Who 4, 6, 5, 1 enjoys
More than 5, 6, 2 by boys?
While 5, 3, 2, 1 are mine,
May 4, 6, 3, 2 be thine.
4, 1, 5 is rich and rare,
6, 5, 1, 2 ends my prayer.

is solved by the word Enigma, from which are formed, as is indicated, the words _aim_, _men_, _game_, _man_, _mine_, _gain_, _gem_, and _amen_.

The enigma--

“Charles the First walked and talked,
Half an hour after his head was cut off.”
_Old Couplet_.

Cut off my head, I’m every inch a King,
A warrior formed to deal a heavy blow.
Halve what remains, my second is a thing
Which nothing but my third can e’er make go,
My third will vary as you take your line,
This less than human, that way all divine!

is solved by _Dog_ (Og, go, dog, God).

The logograph--

Touch me not, I’m firm and sure;
Behead, I’m used by rich and poor;
In house and cottage, hut and hall,
I stand of service to them all.
Behead again, in time of need
I tell that strength and skill succeed.

is solved by _Stable_, _table_, _able_.

The names that satisfy the conditions of this Single Acrostic--

What river is that, where it is found,
Which Pope says does with eels abound?
What Scottish lake, by high hills bounded,
Is with bright birch and oak surrounded?
What stream is said in Devon to run
Into the sea near Otterton?
What bay on Cuba’s distant coast
Is justly deemed its pride and boast?
The initials of these names will show
A Scotch reformer, who, we know,
Flourished three hundred years ago.

are _Kennet_, _Ness_, _Otter_, _Xagua_, which give _Knox_.

The charade--

My whole may be a mother, not a dad,
So former may, or latter;
But twist my tail, and I become as mad
As any hatter!

Behead me, and behold I am a man,
Who never was called mister;
Cut off my tail, and instantly I can
Become a sister!

is solved by _Madam_ (_ma_, _dam_, _mad_, _Adam_, _Ada_).

In addition to the singularly appropriate anagram that has been so happily attached to the name of Florence Nightingale, _Flit on, cheering angel_, the same group of letters can be recast as an aspiration for her continuance in our loving memory, so that they form the sentence, _Cling on, feeling heart_.

The rebus--

I am
a man
I rate you
a beast
You know me

reads thus:--I rate you lower than a man, above a beast. Know between you and me I am above the rest.

The charade--

My first, thou knowest, was in ancient Rome,
Rome’s fate my next, and one that all may dread.
Long may it be before that fate shall come
And sever with my whole thy life’s last thread!

is solved by _Scissors_ (Lat. _scis_, thou knowest; _sors_, a lot).

The poets’ names buried in the lines--

The sun is darting rays of gold
Upon the moor, enchanting spot;
Whose purpled heights, by Ronald loved,
Up open to his shepherd cot.

And sundry denizens of air
Are flying--aye, each to his nest;
And eager make at such an hour
All haste to reach the mansions blest.

are Gray, Moore, Byron, Pope, Dryden, Gay, Keats and Hemans.

The enigma--

This multiplies me, I declare,
Though it reduces one;
A sty is foul if it is there,
By it a deed is done.

is solved by the letter _n_ (_me_ becomes _men_; _one_, _none_; _a sty_, _nasty_.)

Lennie _parsed_ the words he read,
Studying _Praed’s_ fable;
Lennie’s mother _rasped_ the bread,
Sophy _drapes_ the table.
“Work while you are _spared_,” they said,
“_Spread_ while you are able!”

The words in italics have the same letters.

The charade--

When I write with my first, in my second,
My whole is quite sure to be in.
Divided afresh, there is reckoned
A wit, or a something that’s thin.
Prefix a letter, and, as clear as paint,
You see the name of an old English Saint,

is solved by _Within_ (Swithin).

The puzzle lines--

My first, though half a noisy bird,
To a slight noise may turn;
My second-twist, a stately word,
And it will bend we learn.

are solved by _Pardon_ (rap-nod).

The enigma--

To half of ten add one
Then half a score.
When this is duly done
Almost ten more.
This can be good for none,
But trial sore.

is solved by _Vixen_.

The buried proverb--

I fancy this Tory outcry, this weary outrageous attempt to show
illegality, is as a cat chasing snow-flakes. I must be forgiven if I
shun his example--is--

_If you swear you will catch no fish_.

Quick _veerers_ in action, now timid, now bold,
Like _reevers_ of ropes far too rotten to hold,
_Reserve_ a _severer reverse_ and disasters
For a State that _reveres_ not incapable masters.

The six words in italics are spelt with the same letters.

My first is an heir,
My second a snare,
My whole is the offspring of fancy,
Which I sent on its way
Last Valentine’s Day,
As a token of love to my Nancy.

is solved by _Sonnet_.

The lover’s vow--

My love shall never know my first,
Shall never be my second;
It shall my all, come best, come worst,
Be surely reckoned.

is solved by _Endless_.

The enigma--

I am a letter, and a word,
I am a tree, I am a name,
Cut me in pieces with a sword,
You and your act would be the same.
Thrice you must leave the aspirate in doubt,
And use it twice if you would find me out.

is solved by U, You, Hugh, Yew, How.

If you “resist disasters,” this may, by anagram, _distress a sister_.

The charade--

My first the rainbow shows
When in rich hues it glows.
My next has vowels three;
My third was once a tree.
My fourth begins the year,
My whole the past makes clear.

is solved by _Archæology_.

If you ask a schoolboy to estimate the value of the grass in a triangular field, of which the longest side measures 100 rods, and each of the other sides 50 rods, at £1 per acre, it may take him some little time to see that he is being sold, since the condition is not fulfilled that any two sides of a triangle _must be greater than the third side_.

Less than my last, my whole has place
Between my first and second:
Second has body, arms and face;
First is by inches reckoned.

is solved by _waistcoat_.

The historical charade--

My first at early morn the camp alarms,
And at its sound the soldier springs to arms;
My second nowadays fair ladies scorn,
Though in less dainty days it oft was worn.
My whole, a battle fought on Scottish ground,
With victory the rebel forces crowned.

is solved by the battle of _Drumclog_.

I love strolling _troupes_ that go wandering round,
Each _spouter_ a _Proteus_ in versatile skill;
Each _posture_ so quaint, each idea so profound,
My barn’s at their service, whenever they will.
A company played there last night, but to-day
Ducks, _pouters_, and poultry have vanished away!

The five words in italics are spelt with the same seven letters.

The Arithmorem “150 hat robe or tent” forms the name Charlotte Bronte.

The Shedding Letters enigma--

I’m a worker most active, most useful, most known,
Of all that are busy in country and town.
Take from me one letter, and yet my good name
In spite of this loss will continue the same.
Take from me two letters, and still you will see
That precisely the same in effect I shall be.
Take from me three letters, or even take more,
Yet still I continue as sound as before.

is solved by _The Postman_!

When Tom Larkins challenged his sisters to prove on a blackboard that if 50 is subtracted from the sum of the nine digits the result equals the number obtained by dividing their sum by 3, he showed them that the sum of the digits may be written thus: XLV, and that if the L, which represents 50, is removed, XV, or 15, the third of 45, remains.

In the “Geese to Market” problem--

B drove a goodly flock of geese,
And met with Farmer A;
Said Farmer A, “How much apiece
For this lot did you pay?”
Said B, “I paid for all I drive
Just six pounds and a crown,
And I am selling all but five
At the next market town.
If fifteen pence a head I charge
Beyond the price I paid,
I shall secure a sum as large
As he who sold all made.”

B bought 25 geese at 5s. each, and proposed to sell 20 of them at 6s. 3d.

The charade--

When second held first
For best or for worst,
I thought myself happy to win her.
But what could I say
When the very next day
She gave me the whole for my dinner?

is solved by _Herring_.

In the lines--

The bees’ blithe vernal love-songs softly hum,
Blending so sweetly with the restful air;
The noiseless, deep-laced twilight shadows come,
And well I ken the lass who meets me there--

the familiar adage, “Be it ever so humble, there’s no place like home” is buried.

The mutilations in--

A little beast without its head
Becomes a mighty beast instead:
But then the subject of my riddle
Is cut asunder in the middle;
And nothing this division gains,
Though unknown quantity remains.

are _Fox_, _ox_, _o_, _x_.

Mary sat with _slate_ in hand,
Writing _tales_ dramatic.
Did she _steal_ the plots she planned?
Negative emphatic!
_Stale_ to us the _tales_ may be,
But at _least_ they’re new to she!

The old Sanscrit problem, quoted by Longfellow in his “Kavanagh,”

Ten times the square root of a flock of geese, seeing the clouds
collect, flew to the Manus lake. One-eighth of the whole flew from the
edge of the water among a tangle of water lilies, and three couple
were seen playing in the water. Tell me, my young girl with beautiful
locks, what was the whole number of geese?

is solved by 144.

The enigma--

Six hundred and sixty so ordered may be
That if you divide the whole number by three
You find the result will exactly express
The half of six hundred and sixty, no less--

is solved by turning the sixes of 660 upside down, when it becomes 990, and satisfies the conditions.

The press parody ran thus--

There was a young turkey, oh, bless her!
It cost very little to dress her;
Some breadcrumbs and thyme
About Thanksgiving time,
And they ate every bit from the dresser!

She loses her head when she joins the brides,
He joins them after tea;
But both are swept by ruthless tides
Away on the western sea.

is solved by _Hebrides_.

If I have 91 bananas on my barrow, and find, when I have sold one quality at four a penny, and the other at three a penny, that in mixed lots at seven for twopence I should have made a penny more, I had 64 of inferior and 27 of better sort.

The words in italics have the same letters--

How does the sluggard’s garden grow?
When _rates_ are high, results are low.
His borders _tares_ and bindweed spoil,
No careful culture _tears_ the soil;
What weeds that _stare_ are all alive
Where _aster_, pink, or rose should thrive.

Correctly drawn results I yield,
Varied, but welcome everywhere;
But met with in the open field
I’m banned if frequent, blest if rare.
To this peculiar difference the clue
Is called with much significance the cue.

is solved by _Cheque_, _check_ (the letter Q).

The three towns buried in the lines--

Wait while I think the matter over,
On holiday intent;
The best I’ve seen is surely Dover,
That pretty port of Kent.

are _Leith_, _Thebes_, _St Ives_.

An Arab came to the river side,
With a donkey bearing an obelisk;
But he did not venture to ford the tide,
For he had to good an ass to risk (_asterisk_).

So he camped all night by that river side,
Secure till the tide had ceased to swell,
For he knew that whenever the donkey died,
No other could be its _parallel_ (‖).

The charade--

What ho, my jolly _second!_ never say my _first_
While my final you can find in Amsterdam.
Think how a sound _whole_ stays your hunger and your thirst,
Deftly readjusting bread and meat and jam.

is solved by _Dietary_ (Amsterdam is on the River Y).

The schoolboy who calculated that if he had made as many more runs at a cricket match, and half as many more, and two runs and a half, he would have made a score, scored seven runs.

The enigma--

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Pictured Puzzles and Word PlayChapter D: U 2 9 (1)

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