angle trisection
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construction of an angle equal to one third a given angle
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Angles may be trisected via a neusis construction using tools beyond an unmarked straightedge and a compass. The example shows trisection of any angle θ > 3π/4 by a ruler with length equal to the radius of the circle, giving trisected angle φ = θ/3.
Angle trisection is the construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass. It is a classical problem of straightedge and compass construction of ancient Greek mathematics.
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Elements
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Diophantus of Alexandria
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Galois theory
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Archimedean spiral
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compass and straightedge construction
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Greek mathematics
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rational root theorem
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Archimedes
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number
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Pythagoras
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Euclid
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Blaise Pascal
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arithmetic
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International Standard Book Number
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Thales
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natural number
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circle
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angle
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Democritus
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