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gptkbp:instanceOf
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classical geometry problem
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gptkbp:category
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gptkb:geometry
gptkb:mathematical_concept
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gptkbp:describes
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The problem of dividing an arbitrary angle into three equal parts using only a compass and straightedge.
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gptkbp:field
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gptkb:geometry
gptkb:mathematics
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https://www.w3.org/2000/01/rdf-schema#label
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Trisection of the angle
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gptkbp:impossibilityReason
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requires solving a cubic equation, which is not always solvable with compass and straightedge
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gptkbp:impossibleFor
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arbitrary angle
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gptkbp:isSolvable
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some special angles (e.g., 90°, 180°)
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gptkbp:notableAttemptedBy
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gptkb:Archimedes
gptkb:Pappus_of_Alexandria
gptkb:Hippias_of_Elis
gptkb:Nicomedes
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gptkbp:possibleWith
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origami
marked ruler
neusis construction
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gptkbp:provenBy
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gptkb:Pierre_Wantzel
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gptkbp:relatedTo
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gptkb:doubling_the_cube
impossible constructions
ancient Greek mathematics
squaring the circle
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gptkbp:status
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impossible with compass and straightedge alone
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gptkbp:yearProved
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1837
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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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