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Geometric Construction

Alternate names

Euclidean construction | polygon construction

Basic definition

A geometric construction is a construction of a geometric figure using only straightedge and compass, as originally studied by the ancient Greeks.

Detailed definition

In antiquity, geometric constructions of figures and lengths were restricted to the use of only a straightedge and compass (or in Plato's case, a compass only; a technique now called a Mascheroni construction). Although the term "ruler" is sometimes used instead of "straightedge, " the Greek prescription prohibited markings that could be used to make measurements. Furthermore, the "compass" could not even be used to mark off distances by setting it and then "walking" it along, so the compass had to be considered to automatically collapse when not in the process of drawing a circle.

Related terms

angle trisection | circle squaring | compass | constructible number | constructible polygon | cube duplication | elements | Fermat prime | geometric problems of antiquity | geometrography | Kochanski's approximation | Mascheroni construction | matchstick construction | Napoleon's problem | neusis construction | plane geometry | polygon | Poncelet-Steiner theorem | rectification | simplicity | Steiner construction | straightedge

Educational grade level

elementary school level (California grade 5 standard)

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Subjects We Tutor

What Is Domain In Math

What Is Domain In Math ‘

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What Is Domain In Math

What Is Domain In Math ‘

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Volume of a Sphere

Volume of a Sphere ‘

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Area of a Triangle

Area of a Triangle ‘

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Distance Formula

Distance Formula ‘

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Distance Formula

Distance Formula ‘

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Volume of a Cylinder

Volume of a Cylinder ‘

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