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.
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.

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| created: 2017-02-06 16:56:05 | modified: 2019-03-30 00:24:13 | by: bookofproofs | references: [6419]
[6419] Fitzpatrick, Richard: “Euclid’s Elements of Geometry”, http://farside.ph.utexas.edu/Books/Euclid/Euclid.html, 2007