Euclid's Elements Book III

Theory of circles: 11 definitions, 37 propositions. Chords, tangents, angles at center and circumference. All depend on Book I. Prop III.35 uses Prop II.5. Dependency charts split into three views (~16 nodes each).

Propositions 1–5 Defs + center, chords, diameters Propositions 6–20 Touching circles, tangent, angles Propositions 21–37 Cyclic quadrilaterals, chord rectangle, tangent-secant