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Definition: 3.08: Angle in the Segment (Inscribed Angle)

(Definition 8 from Book 3 of Euclid’s “Elements”)

And the angle in a segment is the angle contained by the joined straight lines, when any point is taken on the circumference of a segment, and straight lines are joined from it to the ends of the straight line which is the base of the segment.

Modern Formulation

An inscribed angle is the angle $\alpha$ contained by the straight lines joining the ends of the arc $AB$ with any point on the circumference of a segment of the circle.

| | | | | created: 2017-02-06 16:56:05 | modified: 2019-03-30 00:24:13 | by: bookofproofs | references: [6419]

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[6419] Fitzpatrick, Richard: “Euclid’s Elements of Geometry”,, 2007

Bibliography (further reading)