The angle between a chord and a tangent

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10 months ago
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Health & Science mathematics geometry plane geometry euclidean gemetry angle tangent circle chord arc central angle

Episode 43.

The angle between a chord and a tangent.

Theorem. The angle between a chord and a tangent of a circle is equal to half the central angle subtending the arc of that chord.
Corollary. The angle between a chord and a tangent of a circle is equal to any inscribed angle subtending the arc of that chord.
The angle between a chord and a tangent can be regarded as an extreme (limit) case of the inscribed angle.

Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry

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