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Difference between Neusis construction and Square

Neusis construction vs. Square

In geometry, the neusis (νεῦσις;; plural: label) is a geometric construction method that was used in antiquity by Greek mathematicians. In Euclidean geometry, a square is a regular quadrilateral, which means that it has four sides of equal length and four equal angles (90-degree angles, π/2 radian angles, or right angles).

Equilateral triangle

In geometry, an equilateral triangle is a triangle in which all three sides have the same length.

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Hexagon

In geometry, a hexagon (from Greek ἕξ, hex, meaning "six", and γωνία, gonía, meaning "corner, angle") is a six-sided polygon.

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Octagon

In geometry, an octagon is an eight-sided polygon or 8-gon.

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Straightedge and compass construction

In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses.

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