If by any accident the two cards should be separated when cut, the upper card of the pack is the chosen one, and can be picked out with seeming care.
4. THE CARD TOLD BY THE OPERA GLASS.
Make out a table, such as is given in Fig. 1, and place it in an opera-glass, so that the figures will be visible when you look through it. For convenience, I have made mine as seen in Fig. 2, the numbers 1, 2, 3 in each series being understood. The best plan is to write the numbers, or cut them out of a book, and paste them on a circular piece of cardboard, which must then be soaked in oil, so as to make it semi-transparent. The light will then easily pierce through it, and the figures will be better visible than if it were opaque.
It will be seen that Fig. 2 contains as much matter as Fig. 1, and that two thirds of the figures are saved by it.
These preliminaries being arranged, tell any one to take any twenty-seven cards out of a pack, and to think of any one of them. Deal them into three heaps, and ask him in which heap it is, and what number from the top he would like it to come after the third deal. Suppose he chooses it to be the twenty-sixth card, you take up your opera-glass and look for the number 26. This you will find last but one, arranged thus—26 213 The meaning is, that if the chosen card is to be the twenty-sixth, the heap in which it was found must be for the first time placed second, the second time first, and the last time third. So you pick up the cards, taking care to keep that heap number two. You again deal them in three heaps, and this time you place the heap in which is the chosen card at the top, being number one. Deal them a third time, and on gathering up the heaps, place it at the bottom.
Then, on counting from the top, the chosen card will be found to be the twenty-sixth.
5. THE FOUR KINGS.
Take the four kings out of a pack of cards, and also two other court cards, which are not to be shown. Spread out the kings before the spectators, but conceal the two court cards between the third and fourth kings. Lay the cards face downwards on the table. Take off the bottom card, which is, of course one of the kings; show it as if by accident, and place it on the top. Take the next card, (which is one of the court cards,) and place that in the middle of the pack. Take the third card, (i. e., the second court card,) and place that also near the middle of the pack. There will then be one king at the top and three at the bottom. Ask any one to cut the cards, and to examine them, when he will find all four kings together in the middle of the pack.