inscribed angle - определение. Что такое inscribed angle
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Что (кто) такое inscribed angle - определение


Inscribed angle         
  • Animated gif of proof of the inscribed angle theorem. The large triangle that is inscribed in the circle gets subdivided into three smaller triangles, all of which are isosceles because their upper two sides are radii of the circle. Inside each isosceles triangle the pair of base angles are equal to each other, and are half of 180° minus the apex angle at the circle's center. Adding up these isosceles base angles yields the theorem, namely that the inscribed angle, <math> \psi </math>, is half the central angle, <math> \theta </math>.
  • For fixed points ''A'' and ''B'', the set of points ''M'' in the plane for which the angle ''AMB'' is equal to&nbsp;''&alpha;'' is an arc of a circle. The measure of ∠ ''AOB'', where ''O'' is the center of the circle, is&nbsp;2''&alpha;''.
  • Case: One chord is a diameter
  • Case: Center interior to angle
ANGLE FORMED IN THE INTERIOR OF A CIRCLE
Inscribed angle theorem
In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
angle         
  • Angles ''A'' and ''B'' are adjacent.
  • ''r''}} radians}}.
  • The angles <var>a</var> and <var>b</var> are ''supplementary'' angles.
  • The ''complementary'' angles <var>a</var> and <var>b</var> (<var>b</var> is the ''complement'' of <var>a</var>, and <var>a</var> is the complement of <var>b</var>).
  • The angle between the two curves at ''P'' is defined as the angle between the tangents <var>A</var> and <var>B</var> at <var>P</var>.
  • Internal and external angles.
  • Coterminal Angles
  • Sum of two ''explementary'' angles is a ''complete'' angle.
  • Hatch marks]] are used here to show angle equality.
SOMETHING THAT IS FORMED WHEN TWO RAYS MEET AT A SINGLE OR SAME POINT
Angular measurement; Angular measure; Plane angle measure; Angle measure; Supplementary angles; Complementary angles; Straight angle; Acute angle; Obtuse angle; Angle (geometry); Positive angle; Negative angle; Angulate; Complementary angle; Vertical angles; Acute Angle; Reflex angle; Complementary Angles; Adjacent Angles; Adjacent angles; Theta angle; Vertical angle; Supplementary angle; Supplemental angle; Coterminal angles; Vertical Angles; Bow tie angle; ∠; ∡; ∢; Bow Tie angle; Plane angle; Oblique angle; Complamentary angle; Types of angles; Opposite angles; Suplementary angles; Ajacent angels; Vertical (angles); Vertically opposite angles; Vertically opposite angle; Angle of rotation; Angles of rotation; Vert. opp. ∠s; Vert. opp. ∠; Adj. ∠s on st. line; Complementary ∠; Supplementary ∠; Supplementary ∠s; Supp. ∠s; Complementary ∠s; Supp. ∠; Nonadjacent angle; Adjacent angle pairs; Adjacent angle pair; Anggulo; Linear pair of angles; ⦛; ⦞; ⦟; ⦢; ⦣; ⦦; ⦧; ⦨; ⦩; ⦪; ⦫; ⦬; ⦭; ⦮; ⦯; Adjacent angle; ⦤; ⦥; Corner angle; Planar angle; Planar angles; Intersecting angle pairs; Co-angle; Explementary angle; Explementary angles; Conjugate angles; Rotation angle; Angular unit; Draft:Unit of angle; Angle addition postulate; Angular units; Units of angle measure; Perigon angle; Measuring angles; Measurement of angles; User:Kat098643234567/sandbox/angles; Multiples of π; Factors of π; Factor of π; MULπ; MOπ; Multiples of pi; Factors of pi; Factor of pi; Fraction of pi; Fraction of π; Curvilinear angle; Mixed angle; Right-angled; Oblique-angled; Complement angle
I
n.
space between two straight lines that meet
1) an acute; alternate; complementary; exterior; interior; obtuse; right; solid angle
2) a sharp angle (at a sharp angle)
3) the side; vertex of an angle
deviation from a straight line
4) at an angle (at an angle of thirty degrees; at a rakish angle; at a right angle)
viewpoint
aspect
5) from an angle (to examine a question from various angles)
motive; scheme
(colloq.) (esp. AE)
6) to have an angle
II
v. (d; intr.) to angle for ('to try to obtain') (she was angling for an invitation)
supplementary angle         
  • Angles ''A'' and ''B'' are adjacent.
  • ''r''}} radians}}.
  • The angles <var>a</var> and <var>b</var> are ''supplementary'' angles.
  • The ''complementary'' angles <var>a</var> and <var>b</var> (<var>b</var> is the ''complement'' of <var>a</var>, and <var>a</var> is the complement of <var>b</var>).
  • The angle between the two curves at ''P'' is defined as the angle between the tangents <var>A</var> and <var>B</var> at <var>P</var>.
  • Internal and external angles.
  • Coterminal Angles
  • Sum of two ''explementary'' angles is a ''complete'' angle.
  • Hatch marks]] are used here to show angle equality.
SOMETHING THAT IS FORMED WHEN TWO RAYS MEET AT A SINGLE OR SAME POINT
Angular measurement; Angular measure; Plane angle measure; Angle measure; Supplementary angles; Complementary angles; Straight angle; Acute angle; Obtuse angle; Angle (geometry); Positive angle; Negative angle; Angulate; Complementary angle; Vertical angles; Acute Angle; Reflex angle; Complementary Angles; Adjacent Angles; Adjacent angles; Theta angle; Vertical angle; Supplementary angle; Supplemental angle; Coterminal angles; Vertical Angles; Bow tie angle; ∠; ∡; ∢; Bow Tie angle; Plane angle; Oblique angle; Complamentary angle; Types of angles; Opposite angles; Suplementary angles; Ajacent angels; Vertical (angles); Vertically opposite angles; Vertically opposite angle; Angle of rotation; Angles of rotation; Vert. opp. ∠s; Vert. opp. ∠; Adj. ∠s on st. line; Complementary ∠; Supplementary ∠; Supplementary ∠s; Supp. ∠s; Complementary ∠s; Supp. ∠; Nonadjacent angle; Adjacent angle pairs; Adjacent angle pair; Anggulo; Linear pair of angles; ⦛; ⦞; ⦟; ⦢; ⦣; ⦦; ⦧; ⦨; ⦩; ⦪; ⦫; ⦬; ⦭; ⦮; ⦯; Adjacent angle; ⦤; ⦥; Corner angle; Planar angle; Planar angles; Intersecting angle pairs; Co-angle; Explementary angle; Explementary angles; Conjugate angles; Rotation angle; Angular unit; Draft:Unit of angle; Angle addition postulate; Angular units; Units of angle measure; Perigon angle; Measuring angles; Measurement of angles; User:Kat098643234567/sandbox/angles; Multiples of π; Factors of π; Factor of π; MULπ; MOπ; Multiples of pi; Factors of pi; Factor of pi; Fraction of pi; Fraction of π; Curvilinear angle; Mixed angle; Right-angled; Oblique-angled; Complement angle
¦ noun Mathematics either of two angles whose sum is 180°.