191.--THE CRESCENT PUZZLE.

From Amusements in Mathematics by Henry Ernest Dudeney.

Referring to the original diagram, let AC be x, let CD be x - 9, and let EC be x - 5. Then x - 5 is a mean proportional between x - 9 and x, from which we find that x equals 25. Therefore the diameters are 50 in. and 41 in. respectively.

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191.--THE CRESCENT PUZZLE.: Amusements in Mathematics by Henry Ernest Dudeney | amphi