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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:alsoKnownAs
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gptkb:Delian_problem
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gptkbp:category
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classical problems of antiquity
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gptkbp:culture
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gptkb:Oracle_of_Delphi
Delos (Greek island)
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gptkbp:describes
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The problem of constructing a cube with twice the volume of a given cube using only a compass and straightedge.
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gptkbp:field
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gptkb:geometry
ancient Greek mathematics
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gptkbp:historicalName
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gptkb:ancient_Greece
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https://www.w3.org/2000/01/rdf-schema#label
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Doubling the cube
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gptkbp:impossibleBecause
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cube root of 2 is not a constructible number
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gptkbp:impossibleWith
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compass and straightedge
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gptkbp:involves
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gptkb:Galois_theory
field extensions
constructible numbers
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gptkbp:notableAttemptBy
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gptkb:Menaechmus
gptkb:Eratosthenes
gptkb:Archytas
gptkb:Hippocrates_of_Chios
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gptkbp:provenImpossibleBy
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gptkb:Pierre_Wantzel
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gptkbp:provenImpossibleInYear
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1837
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gptkbp:relatedTo
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squaring the circle
trisecting the angle
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gptkbp:requires
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construction of the cube root of 2
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gptkbp:solutionRequires
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roots of cubic equations
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gptkbp:symbol
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Given a cube of side a, construct a cube of side a×2^(1/3)
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gptkbp:bfsParent
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gptkb:Pappus_of_Alexandria
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gptkbp:bfsLayer
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6
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