Euclid's Elements, Book I

Full dependency graph of all 48 propositions. Dependencies from David E. Joyce, Clark University. Split into five views for clarity.

Definitions 1–23 — Point, line, surface, angle, circle, triangle, parallel Propositions 1–5 — Equilateral triangle, SAS, base angles (with definitions) Propositions 1–10 — Foundations, SAS, SSS, bisections, perpendiculars Propositions 11–20 — Right angles, straight lines, vertical angles, triangle exterior, triangle inequality Propositions 21–30 — Lines within triangle, construct triangle/angle, parallel lines Propositions 31–41 — Parallelograms, triangles, areas Propositions 42–48 — Constructions, Pythagorean theorem