Linked from

The 34 pages that link to Straightedge and compass construction, each with the reason it gives.

• Euclid's ElementsRelated: These permitted operations shape many of the treatise's constructive proofs.

• Algebraic numberRelated: Constructible coordinates are algebraic numbers obtained through successive quadratic extensions.

• Congruence (geometry)Related: Copying lengths and angles constructs figures guaranteed congruent to a given figure.

• Islamic geometric patternsRelated: Builders and designers could lay out precise circles, divisions, and polygons with these tools.

• CircumcenterRelated: Intersecting two constructed perpendicular bisectors locates the circumcenter.

• IncenterRelated: Two constructed angle bisectors locate the incenter exactly.

• Synthetic geometryRelated: These tools defined the classical constructive setting for synthetic problems.

• Ancient Greek mathematicsRelated: These tools defined the permitted operations in many classical Greek construction problems.

• Cyclotomic fieldRelated: Constructible regular polygons correspond to specific cyclotomic subfields.

• Isosceles triangleRelated: Copying a segment length constructs an isosceles triangle from a chosen base.

• Perpendicular bisectorRelated: These tools construct a segment’s perpendicular bisector without measuring angles or lengths.

• Line segmentRelated: Classical constructions use straightedges to draw and compare segments.

• Interior angleRelated: Constructing regular polygons requires controlling their interior angles.

• Angle bisectorRelated: It constructs an angle bisector by intersecting equal-radius arcs.

• Angle trisectionRelated: Its strict rules define the setting in which arbitrary trisection fails.

• Euclidean planeRelated: Classical constructions are performed directly in the Euclidean plane.

• Lindemann–Weierstrass theoremRelated: Such constructions produce only algebraic lengths, so π's transcendence blocks circle squaring.

• Constructible numberRelated: Its permitted intersections implement the arithmetic and square-root operations defining constructibility.

• Geometric proofRelated: Construction can introduce auxiliary points and figures that make a proof possible.

• Hippocrates of ChiosRelated: Ancient construction limits frame the significance and limits of his results.

• Ray (geometry)Related: Constructed angles and figures are defined using rays and their intersections.

• Square root of 2Related: A unit square's diagonal constructs the length square root of 2 exactly.

• Clifford's circle theoremsRelated: The chains are assembled by repeatedly constructing intersections of circles.

• Constant chord theoremRelated: Equal-angle constructions on a circle can transfer chord lengths without measuring them numerically.

• DecagonRelated: A regular decagon can be constructed this way using a 36-degree central angle.