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Construction

Construction

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Two examples of the idea done right—and one common look-alike that is not right.

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Definition

In Geometry, construction refers to the process of drawing geometric figures accurately using only a compass and a straightedge (a ruler without measurement markings). This method follows a set of rules and procedures derived from classical Greek geometry, particularly Euclidean geometry.


Construction in geometry is the method of creating geometric shapes, angles, or lines using only a compass and a straightedge, without measuring lengths or angles numerically.

Examples of geometric constructions:

  • Constructing a perpendicular bisector of a line segment

  • Constructing an angle bisector

  • Constructing a triangle given certain conditions

  • Constructing a line parallel to a given line through a point


These constructions are considered exact and are based on logical steps that follow geometric principles.

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