To construct the edge of a cube that is double the volume of a given cube
************ Delian_problem.dwg *************
The book "A History of Greek Mathematics" by Sir Thomas Heath, quotes one of the
prominent mathematician, Eratosthenes's comment.
"when the god proclaimed to the Delians by the oracle that, if they would get rid of a plague
they should construct an altar double of the existing one, their craftmen fell into great
perplexity in their efforts to discover how solid could be made double of a (similar) solid;
they therefore went to ask Plato about it, and he replied that the oracle meant, not that the god
wanted an altar of double the size, but that he wished, in setting the task, to shame the Greeks
for their neglect of mathematics and their contempt for geometry"
2. The construction of a circle with center at a given point and passing through a second given point.
3. The procedure must be a finite number of operations
with ruler and compasses. But the first published proof was given by Frenchman, Pierre Wantzel (1814 - 1848), in 1837.
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Last Updated Nov 22, 2006
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