Beside the equivalence of the hon to 5 utens weight of water, the mathematical papyrus (35) gives 5 besha = (2/3)cubic cubit (Revillout's interpretation of this as 1 cubit cubed is impossible geometrically; see Rev. Eg., 1881, for data); this is very concordant, but it is very unlikely for 3 to be introduced in an Egyptian derivation, and probably therefore only a working equivalent. [Please select]
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The terms will then be 3 cubed, 4 cubed, 5 cubed, which together = 6 cubed = 216. [Please select]
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The words (Greek) have been variously translated--'squared and cubed' (Donaldson), 'equalling and equalled in power' (Weber), 'by involution and evolution,' i. [Please select]
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Now if we remember that the number 216 = 8 x 27 = 3 cubed + 4 cubed + 5 cubed, and 3 squared + 4 squared = 5 squared, we must admit that this number implies the numbers 3, 4, 5, to which musicians attach so much importance. [Please select]
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