Constructions

In mathematics, constructions are methods for creating or illustrating geometric figures using specific tools like a compass and straightedge. These techniques follow precise rules without rely on measurements. For example, constructing an equilateral triangle involves drawing a circle with a certain radius and then using intersections to define equal sides. Constructions help us understand geometric relationships and prove properties without computing numerical values. They are fundamental in classical geometry, emphasizing logical reasoning and the use of simple tools to generate complex figures accurately.