Definition:Euclidean Tools

Definition

The Euclidean tools are the tools specifically allowed when performing Euclidean constructions.

Straightedge

A straightedge is an ideal tool for constructing straight lines.

A straightedge is of unlimited length, but has no markings on it, so it cannot be used for measurement.

Compasses

A compass is an ideal tool for drawing circles.

Hence it can be used according to Euclid's third postulate to construct a circle using any two given points:

$(1): \quad$ the center

and:

$(2): \quad$ an arbitrary point on the circumference.

Also see

• Results about Euclidean tools can be found here.

Source of Name

This entry was named for Euclid.