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ENIGMAS. 1.

We are little airy creatures,
Each have different forms and features;
One of us in glass is set;
Another you will find in jet;

A third, less bright, is set in tin;
The fourth, a shining box within;
And the fifth, if you pursue,
It will never fly from you.

2.

Before a circle let appear

Twice twenty-five, and five in rear; One-fifth of eight subjoin, and then You'll quickly find what conquers men.

CHARADES. 1.

My first is equal; second, grave; My third, most sinners wish to have.

2.

as to cause the silver to be just out of sight. Then, by filling the glass with water, which is a denser medium than air, and standing at the same distance from it as before, the silver may be plainly

seen.

TRANSPOSITIONS-1. Fair, Air. 2. Mean, Mane, Amen. 3. Peels, Sleep. 4. Ten, Net. 5. Now, Won, Own.

RIDDLES-1. Bar-ley. 2. Test-y.

GEOMETRICAL PUZZLES-1. On à plane surface the solution of the problem would be impracticable, but on a curved surface it may be easily done. Fold a sheet of paper round a cylinder, and with a pair of compasses describe a circle upon it, assuming any point as a centre; then, when the paper is unfolded, and extended on a plane surface, an oval will be presented-(the oval must not be confounded with the ellipse: the latter has no part of the curve of a circle in its composition; but, being described on two points, called its foci, it is continually varying)--the shortest diameter

Too much for one, enough for two, and nothing of which will be in the direction corresponding for three.

ANSWERS TO THE ABOVE. ENIGMAS-1. The Vowels. 2. Love. CHARADES-1. Par-don. 2. Secret.

ANSWERS TO FAMILY PASTIME-PAGE 372. GEOGRAPHICAL PARADOXES-1. Horizontal dials within the tropics cast no shadows at noon twice every year, because the sun is vertical: and no universal ring-dial will show the hour when the sun is in either equinox. 2. The first meridian (from whence longitude is reckoned east and west) passes midway between the ship and the island, and therefore regard is had to the east and west longitude, and not to the points of the compass. 3. Directly under the poles, where all the points of the compass meet. 4. The earth is surrounded by a body of air, called the atmosphere, through which the rays of light come to the eye from all the heavenly bodies; and since these rays are admitted through a vacuum, or at least through a very rare medium (a medium is a fluid, or substance, through which a ray of light can penetrate), and fall obliquely pon the atmosphere, which is a dense medium, they will, by the laws of optics, be refracted in lines, approaching nearer to a perpendicular from the place of the observer (or nearer the zenith) than they would be were the medium to be removed. Hence, all the heavenly bodies appear higher than they really are, and the nearer they are to the horizon, the more obliquely the ray falls, and consequently the greater is the refraction, or difference between their apparent and true altitudes. The above may be elucidated by the following simple experiment. Put a piece of silver at the bottom of an empty vessel, and then stand at such a distance from it

with the axis of the cylinder. 2. A right line perpendicular to the plane of the two given lines, at the point of their concourse, will be perpendicular to them both.

ARITHMETICAL QUESTIONS-1. On the first view of the question, there does not appear to be any loss; for, if it be supposed that, in selling five apples for 2d., she gave three of the latter sort (viz. those at three a-penny) and two of the former (viz. those at two a-penny), she would receive just the same money as she bought them for; but this will not hold throughout the whole, for (admitting that she sells them as above) it must be evident that the latter stock would be exhausted first, and consequently she must sell as many of the former as remained overplus at five for 2d., which she bought at the rate of two a-penny, or four for 2d., and would therefore lose. It will be readily found, that when she had sold all the latter sort (in the above manner), she would have sold only eighty of the former, for there are as many threes in one hundred and twenty, as twos in eighty; then the remaining forty must be sold at five for 2d., which were bought at the rate of four for 2d.-i.e., A. d.

A. d. If 4 2 40: 20, prime cost of 40 of the first sort. 52:40 16, selling price of ditto.

4d. loss.

2. The least number that will answer this question is twelve; for if we suppose that each Grace gave one to each Muse, the latter would each have three, and there would remain three for each Grace. (Any multiple of 12 will answer the conditions of the question.)

ANAGRAMS-1. Elliott. 2. White. 3. Sotheby. 4. Denham. 5. Mason. 6. Langhorne. ENIGMAS-1. A Blacksmith. 2. WIT.

EDITED BY HERR HARRWITZ.

PROBLEM No. XXVIII.-BY DR. WEIR.-White playing first, to checkmate in four moves.

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2. K. Kt. to B. 3.

2. Q. Kt. to B. 3.

3. B. to Q. B. 4.

4. Q. Kt. P. 2.

5. Q. B. P. 1.

6. Q. P. 2.

7. Castles.

8. Q. takes P. (a).

9. Q. B. to K. Kt. 5.

10. B. to K. R. 4.

11. K. P. 1.

12. Kt. takes Kt. 13. Q. to K. Kt. 3. 14. Q. takes K. Kt. P. 15. K. B. P. 2 (c). 16. B. takes B.

17. K. B. P. takes P.

18. R. takes R.
19. K. to R. sq.
20. Q. to B. 7 [ch].
21. K. R. P. 1.
22. Q. to K. B. 4.

3. B. to Q. B. 4.
4. B. takes Kt. P.
5. B. to Q. B. 4.
6. P. takes P.

7. P. to Q. 6.

8. K. Kt. to K. 2. 9. K. R. P. 1. 10. Q. P. 1.

11. Q. Kt. takes P. (b). 12. P. takes Kt.

13. K. B. to Q. 3. 14. K. R. to B. sq. 15. Q. B. to K. 3. 16. B. P. takes B. 17. R. takes R. [ch.] 18. B. to Q. B. 4 [ch]. 19. Q. to Q. 6. 20. K. to Q. 2. 21. R. to K. Kt. sq. 22. Kt. to K. B. 4.

NOTES TO GAME XXVIII.

(a). Q. to Q. Kt. 3 would have been more attacking. (b). P. takes P. seems to be preferable.

(c). In order to open K., file for his R., if P. takes P. (d). He should have played Q. Kt. P. 2, which would have compelled Black to play Q. to Q. sq., when he could have exchanged, having the advantage of a clear piece.

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OUR FAMILY COUNCIL.

SEVERAL Correspondents are desirous of learning a safe and easy method of swimming, and we are enabled, by the courtesy of a friend, to gratify their wishes. It may be premised, that corks of the ordinary form, and bladders, are dangerous and inconvenient in learning to swim. They impede the action of the arms, raise the body too high, and are apt to slip too low down, so as to keep the novice's head under water. By this accident, many persons using corks have been drowned. The objection that it raises the body too high out of the water also applies to swimming-belts, which have the same peculiarity.

The following plan will enable any one to learn to swim, or those who cannot swim, to cross deep

importance, and deserves a few remarks. Fruit is digestible in proportion to its perfection, and hence the care to be observed with regard to ripeness. The drier fruits are adapted to cool and dry weather; the moister ones to the hotter. Thus the less juicy sorts of cherries, pears, and peaches, are not only most grateful but most salutary when the weather is not excessively hot; while the currant, and the melon, and the moist peach, are best adapted to the hottest weather. The same may be said of the different hours of the day. If fruits are eaten at all late in the day, especially after mid-day, they should be the more watery, as the melon. Fruit should generally be eaten in the early part of the day, and seldom late in the evening. The morning is, on the whole, best, and next to that, perhaps, the middle of the day. The worst time is the hour

water safely. The directions, which are simple, just before going to bed.

require care :

Take a piece of cork, or, for want of cork, light wood, such as deal, and form it into an oval shape, about eighteen inches in its utmost width. Cut a hole in the centre wide enough to admit your neck. Then divide it in two pieces, thus. Then join the two parts on one side with a hinge of gutta percha, or caouchouc, or leather, and on the other side of it with only to put the two the strings, and while

strings. The novice has sides round his neck, tie he cannot sink, he has full use of his arms and legs in an upright position, which is the best of all for a beginner in the art of swimming.

The shape of the cork offers no impcdiment whatever to the progress of the swimmer, in the water.

This instrument made in cork, light wood, or bark, would be very convenient to travellers crossing rivers in America, Africa, or Australia, as they could carry a considerable weight packed upon their heads, thus

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EDWARD CARTER has sent us the outline of a system of phrenology by himself. It is, however, so utterly devoid of reason, that Gall and Spurzheim would have blushed to own such a companion in science. The cranium is turned by W. Carter into a queer kind of workshop, in which our friend theorizes with such a rampant fancy that he fairly mystifies himself, and may be said, while looking after other heads, to have lost his own! According to this system, Mr. Carter would guarantee mental quietude in the married life by a timely examination of the elevation or depression of the skull! He reminds us of some lines written in the "golden age" of phrenology. "Away with all doubt and misgiving;

Now lovers must woo by the book-
There's an end to all trick and deceiving,
No men can be caught by a look.
Bright eyes, or a love-winning dimple,
No longer their witchery fling;
That lover indeed must be simple

Who yields to so silly a thing.

No more need we fly the bright glances
Whence Cupid shot arrows of yore:
To skulk let us limit our fancies,
And love, by the bumps we explore!
Oh, now we can tell in a minute

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What fate will be ours when we wed; The heart has no passion within it That is not engraved on the head." Mr. Carter must not expect further publicity on this subject in our pages.

A "YOUNG LADY" wishes to know why the Shamrock is the national emblem of Ireland. According to legendary tradition, when St. Patrick landed near Wicklow, to convert the Irish, in 433, the pagan inhabitants were about to stone him; but having obtained a hearing, he endeavoured to explain to them the Trinity in Unity; but they could not understand him till, plucking a shamrock-three-leaved grass, or trefoil-from the ground, he said, "Is it not as possible for the Father, Son, and Holy Ghost, as

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