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Inscribed angle

Index Inscribed angle

In geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. [1]

23 relations: Angle, Antipodal point, Arc (geometry), Central angle, Chord (geometry), Circle, Cut-the-Knot, Cyclic quadrilateral, Degeneracy (mathematics), Diameter, Euclidean geometry, Geometry, Isosceles triangle, Power of a point, Radius, Secant line, Subtended angle, Tangent, Tangent lines to circles, Thales's theorem, Theorem, Triangle, Vertex (geometry).

Angle

In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

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Antipodal point

In mathematics, the antipodal point of a point on the surface of a sphere is the point which is diametrically opposite to it — so situated that a line drawn from the one to the other passes through the center of the sphere and forms a true diameter.

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Arc (geometry)

In Euclidean geometry, an arc (symbol: ⌒) is a closed segment of a differentiable curve.

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Central angle

Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians).

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Chord (geometry)

A chord of a circle is a straight line segment whose endpoints both lie on the circle.

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Circle

A circle is a simple closed shape.

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Cut-the-Knot

Cut-the-knot is a free, advertisement-funded educational website maintained by Alexander Bogomolny and devoted to popular exposition of many topics in mathematics.

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Cyclic quadrilateral

In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle.

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Degeneracy (mathematics)

In mathematics, a degenerate case is a limiting case in which an element of a class of objects is qualitatively different from the rest of the class and hence belongs to another, usually simpler, class.

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Diameter

In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

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Euclidean geometry

Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Isosceles triangle

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

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Power of a point

In elementary plane geometry, the power of a point is a real number h that reflects the relative distance of a given point from a given circle.

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Radius

In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

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Secant line

In geometry, a secant of a curve is a line that intersects the curve in at least two (distinct) points.

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Subtended angle

In geometry, an angle subtended by an arc, line segment, or other curve is one whose two rays pass through the endpoints of the arc.

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Tangent

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.

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Tangent lines to circles

In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior.

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Thales's theorem

In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line is a diameter, then the angle ∠ABC is a right angle.

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Theorem

In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms.

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Triangle

A triangle is a polygon with three edges and three vertices.

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Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

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Inscribed angle theorem.

References

[1] https://en.wikipedia.org/wiki/Inscribed_angle

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