Definition: 3.07: Angle of a Segment

And the angle of a segment is that contained by a straight line and a circumference of a circle.

Modern Formulation

An arc is one of the two parts into which a secant divides the circumference. The larger is called the major conjugate arc, and the smaller is called the minor conjugate arc.

chordandsecant1

Definitions: 1 2 3
Proofs: 4
Propositions: 5


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References

Adapted from (subject to copyright, with kind permission)

  1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"