let problems published last
week: 1. Turk and Christian Puzzle.--In the Latin sentence and French
verse given, attention must be given to the vowels _a_, _e_, _i_, _o_,
_u_ contained in the syllables, letting _a_ equal one, _e_ two, _i_
three, _o_ four, and _u_ five. Begin by arranging four Christians
together, because the vowel in the first syllable is _o_; then five
Turks, because the vowel in the second syllable is _u_, and so on to the
end. By proceeding in this manner, it will be found, taking every ninth
person circularly, beginning at the first of the row, that the lot will
fall entirely on the Turks.

2. Valet Puzzle.--Two valets cross first, and one of them, rowing back,
carries over the third valet. One of the three valets then returns with
the boat, and, remaining, allows the two masters whose valets have
crossed to go over in the boat. One of the masters then carries back his
valet, and leaving him on the bank, rows over the third master. In the
last place, the valet who crossed enters the boat, and, returning twice,
carries over the other two valets.

A Famous Chess Problem.

This is a famous problem, and several notable chess-players of the
old school have amused themselves with it:

_To make the knight move into all the squares of the chess-board
in succession, without passing twice over the same._

Of the four solutions to the problem, Demoivre's is the easiest to
follow. I will furnish Montmort's, Mairan's, or M. W----'s
solution to any member so desiring, provided a stamp is sent for
reply. Following is Demoivre's solution:

---------------------------------------
| 34 | 49 | 32 | 11 | 36 | 39 | 24 | 1 |
|----|----|----|----|----|----|----|----|
| 21 | 10 | 35 | 50 | 23 | 12 | 37 | 40 |
|----|----|----|----|----|----|----|----|
| 48 | 33 | 62 | 57 | 38 | 25 | 2 | 13 |
|----|----|----|----|----|----|----|----|
| 9 | 20 | 51 | 5 | 63 | 60 | 41 | 26 |
|----|----|----|----|----|----|----|----|
| 32 | 47 | 58 | 61 | 56 | 53 | 14 | 3 |
|----|----|----|----|----|----|----|----|
| 19 | 8 | 55 | 52 | 59 | 64 | 27 | 42 |
|----|----|----|----|----|----|----|----|
| 46 | 31 | 6 | 17 | 44 | 29 | 4 | 15 |
|----|----|----|----|----|----|----|----|
| 7 | 18 | 45 | 30 | 5 | 16 | 43 | 28 |
---------------------------------------

VINCENT V. M. BEEDE, R. T. F.
17 WEBSTER PLACE, EAST ORANGE, N. J.

Wants