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'''Compass and straightedge constructions''' played an important role in the [[history]] of [[mathematics]]. Some constructions accomplished by the ancients led to revolutionary developments in abstract mathematics. Other construction problems posed in antiquity remain unsolved even today.

'''Compass and straightedge constructions''' played an important role in the [[history]] of [[mathematics]]. Some constructions accomplished by the ancients led to revolutionary developments in abstract mathematics. Other construction problems posed in antiquity remain unsolved even today.

A compass-and-straightedge construction is a [[diagram]] drawn freehand with only the aid of a [[compass]] and a [[ruler]] from which the markings have been erased, also known as a "straight edge". Part of the finished diagram should display the solution to a particular given problem. For example, if the problem is "Trisect a [[line]]," the solution might consist of the given line with three Xs constructed over it at even [[interval]]s.

A compass-and-straightedge construction is a [[diagram]] drawn freehand with only the aid of a [[compass]] and a [[ruler]] from which the markings have been erased, also known as a "straight edge". Part of the finished diagram should display the solution to a particular given problem. For example, if the problem is "Trisect a [[line]]," the solution might consist of the given line with three Xs constructed over it at even [[interval]]s.