Incidence
- Archimedes' Axiom
- Archimedes' Lemma
- Archimedes' Postulate
- Cathetus
- Ceva's Theorem
- de Bruijn-Erdős Theorem
- Foot
- Hoehn's Theorem
- Menelaus' Theorem
- Monge's Circle Theorem
- N-Cluster
- Near-Pencil
- No-Three-in-a-Line-Problem
- Non-Archimedean Geometry
- Ordinary Line
- Ordinary Line Graph
- Ordinary Point
- Orthogonal
- Pascal's Theorem
- Pasch's Axiom
- Pasch's Theorem
- Perpendicular
- Perpendicular Bisector
- Perpendicular Bisector Theorem
- Perpendicular Foot
- Perpendicular Vector
- Self-Transversality Theorem
- Separation
- Steiner Set
- Sylvester-Gallai Theorem
- Sylvester's Line Problem
- Tetrastigm
- Urquhart's Theorem
- Vertical Tangent