536 Puzzles and Curious Problems

(Elliott) #1
302 Answers

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an immovable wheel. This first wheel, D, when the frame revolves, turns a
second and thick wheel, E, which, like the remaining three wheels, F, G, and H,
moves freely on its axis. The thin wheels, F, G, and H, are driven by the
wheel E in such a manner that when the frame revolves H turns the same
way as E does, G turns the contrary way, and F remains stationary. The se-
cret lies in the fact that though the wheels may be all of the same diameter,
and D, E, and F may (D and F must) have an equal number of teeth, yet G
must have at least one tooth fewer, and H at least one tooth more, than D.
Readers will find a full account of this paradox and its inventor in a little
book, Remarkable Men, published by the Society for the Promotion of Chris-
tian Knowledge.



  1. THE FOUR HOUSEHOLDERS


The simplest, though not the only solution, is that shown in our illustration.
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