the compass and straightedge

Compass and straightedge are traditional tools used in geometric constructions, allowing you to create precise shapes, angles, and lengths without measuring devices. The compass is used to draw circles and equal-length segments, while the straightedge is a ruler without measurement markings, used to draw straight lines between points. Together, they enable the construction of geometric figures through only these tools and the foundational axioms of Euclidean geometry, highlighting elegant, exact methods of solving geometrical problems purely through logical steps rather than numerical measurement.