| £ | s. | d. | ||||
|---|---|---|---|---|---|---|
| 9 | 9 | 6 | = | 9096 | farthings | |
| 6 | 6 | 4 | = | 6064 | „ | |
| 3 | 3 | 2 | = | 3032 | „ | |
| 10 | 10 | 6 | 1⁄2 | = | 10106 | „ |
| 13 | 13 | 8 | 1⁄2 | = | 13138 | „ |
No. XCI.—PLACING A LADDER
If a ladder, with rungs 1 foot apart, rests against a wall, and its thirteenth rung is 12 feet above the ground, the foot of the ladder is 25 feet from the wall.
Proof.—Drop a perpendicular from A to B. Then, as A B C is a right angle, and the squares on A C, A B, are 169 feet and 144 feet, the square on C B must be 25 feet, and the length of C B is 5 feet. We thus move 5 feet towards the wall in going 13 feet up the ladder, and in mounting 65 feet (five times as far) we must cover 25 feet.
No. XCII.—GRACEFUL CURVES
A prettily ingenious method of dividing the area of a circle into quarters, each of them a perfect curve, with perimeter (or enclosing line) equal to the circumference of the circle, and with which four circles can be formed, is clearly shown by the subjoined diagrams:—
NIGHTS AT A ROUND TABLE
The host of a large hotel at Cairo noticed that his Visitors’ Book contained the names of an Austrian, a Brazilian, a Chinaman, a Dane, an Englishman, a Frenchman, a German, and a Hungarian. Moved by this curious alphabetical list, he offered them all free quarters and the best of everything if they could arrange themselves at a round dining-table so that not one of them should have the same two neighbours on any two occasions for 21 successive days.