Illustration of an angle

Angle

Illustration of an angle

Illustration that can be used to show the definition of an angle - an opening between two lines that intersect or meet.

Angle

Illustration that can be used to show the definition of an angle - an opening between two lines that…

Axes showing trigonometric angles, and quadrants.

Trigonometric Angles and Quadrants

Axes showing trigonometric angles, and quadrants.

A diagram illustrating the airplane's angle of incidence at axis A, direction of motion and thrust.

Plane Angle of Incidence

A diagram illustrating the airplane's angle of incidence at axis A, direction of motion and thrust.

The diagram illustrating the plane's angle of incidence pointing down at the motion axis. The plan will exert momentum and thrust force from angle of incidence.

Plane Pointing Down Angle of Incidence

The diagram illustrating the plane's angle of incidence pointing down at the motion axis. The plan will…

Illustration used to show how to "draw a straight line through any given point on a given straight line to make any required angle with that line."

Construction Of Angle On Straight Line

Illustration used to show how to "draw a straight line through any given point on a given straight line…

Trigonometric angle -229 degrees.

-229 Degree Trigonometric Angle

Trigonometric angle -229 degrees.

Trigonometric angle 467 degrees.

467 Degree Trigonometric Angle

Trigonometric angle 467 degrees.

Acute angle

Acute Angle

Acute angle

An illustration showing an angle the is less than a right angle. This is an acute angle.

Acute Angle

An illustration showing an angle the is less than a right angle. This is an acute angle.

Angle 3 is an acute angle.

Acute Angle

Angle 3 is an acute angle.

Illustration to show that if an angle is bisected, and if a line drawn through the vertex perpendicular to the bisector, this line forms equal angles with the sides of the given angle.

Bisected Angle

Illustration to show that if an angle is bisected, and if a line drawn through the vertex perpendicular…

Illustration to show that the bisectors of two supplementary adjacent angles are perpendicular to each other.

Bisected Angles

Illustration to show that the bisectors of two supplementary adjacent angles are perpendicular to each…

Illustration to show that the bisector of one of two vertical angles bisects the other.

Bisected Angle

Illustration to show that the bisector of one of two vertical angles bisects the other.

Illustration to show that the bisector of two pairs of vertical angles formed by two intersecting lines are perpendicular to each other.

Bisected Angles

Illustration to show that the bisector of two pairs of vertical angles formed by two intersecting lines…

Illustration of a dihedral angle bisected by a plane. "Every point in a plane which bisects a dihedral angle is equidistant from the faces of the angle."

Dihedral Angle With Bisector

Illustration of a dihedral angle bisected by a plane. "Every point in a plane which bisects a dihedral…

Illustration to show that the bisector of the vertical angle of an isosceles triangle bisects the base, and is perpendicular to the base.

Bisected Vertical Angle of an Isosceles Triangle

Illustration to show that the bisector of the vertical angle of an isosceles triangle bisects the base,…

Illustration to show that if through any point in the bisector of an angle a line is drawn parallel to either of the sides of the angle, the triangle thus formed is isosceles.

Angle Bisector Drawn Parallel to A Side

Illustration to show that if through any point in the bisector of an angle a line is drawn parallel…

Illustration of a convex polyhedral angle. "The sum of the face angles of any convex polyhedral angle is less than four right angles."

Convex Polyhedral Angle

Illustration of a convex polyhedral angle. "The sum of the face angles of any convex polyhedral angle…

Illustration of dihedral angle AB (or M-AB-N) formed by planes.

Dihedral Angle

Illustration of dihedral angle AB (or M-AB-N) formed by planes.

Illustration of dihedral angle AB formed by planes.

Dihedral Angle

Illustration of dihedral angle AB formed by planes.

A dihedral angle is the opening between two intersecting planes.

Dihedral Angle

A dihedral angle is the opening between two intersecting planes.

Diagram used to prove the theorem: "The sum of the face angles of any convex polyhedral angle is less than four right angles."

Face Angles of Convex Polyhedral Angle

Diagram used to prove the theorem: "The sum of the face angles of any convex polyhedral angle is less…

Illustration showing the golden angle. The golden angle is the smaller of two angles created by dividing the circumference of a circle according to the golden section. The ratio of the length of the larger arc to the smaller arc is equal to the ratio of the entire circumference to the larger arc. The golden angle is approximately 137.51°.

Golden Angle

Illustration showing the golden angle. The golden angle is the smaller of two angles created by dividing…

Negative trigonometric angle with initial and terminal sides labeled.

Negative Trigonometric Angle

Negative trigonometric angle with initial and terminal sides labeled.

Obtuse angle

Obtuse Angle

Obtuse angle

Illustration used to show "The two perpendiculars to the sides of an angle from any point in its bisector are equal."

Perpendiculars To The Sides Of An Angle

Illustration used to show "The two perpendiculars to the sides of an angle from any point in its bisector…

Illustration used to show "The two perpendiculars to the sides of an angle from any point not in its bisector are unequal."

Perpendiculars To The Sides Of An Angle

Illustration used to show "The two perpendiculars to the sides of an angle from any point not in its…

Illustration of polyhedral angle. "The opening of three or more planes which meet at a common point is called a polyhedral angle."

Polyhedral Angle

Illustration of polyhedral angle. "The opening of three or more planes which meet at a common point…

Positive trigonometric angle with initial and terminal sides labeled.

Positive Trigonometric Angle

Positive trigonometric angle with initial and terminal sides labeled.

Right angle with square at perpendicular lines

Right Angle

Right angle with square at perpendicular lines

An illustration showing a straight angle. When the sides of an angle extend in opposite directions, so as to be in the same straight line, the angle is called a straight angle.

Straight Angle

An illustration showing a straight angle. When the sides of an angle extend in opposite directions,…

Four types of angles: right, obtuse, acute, and straight.

Angles

Four types of angles: right, obtuse, acute, and straight.

Showing different types of angles: right, acute, and obtuse.

Angles

Showing different types of angles: right, acute, and obtuse.

An illustration showing acute, obtuse, straight, right, and reflex angles.

Acute, Obtuse, Straight, Right, And Reflex Angles

An illustration showing acute, obtuse, straight, right, and reflex angles.

An illustration of two angles that are adjacent. They have the same vertex and a common side between them. Angles BOD and AOD are adjacent

Adjacent Angles

An illustration of two angles that are adjacent. They have the same vertex and a common side between…

Illustration of adjacent dihedral angles M-AB-N and P-AM-N made by planes.

Adjacent Dihedral Angle

Illustration of adjacent dihedral angles M-AB-N and P-AM-N made by planes.

Illustration of complementary angles. Two angles whose sum is a right angle.

Complementary Angles

Illustration of complementary angles. Two angles whose sum is a right angle.

Illustration of 2 equal dihedral angles.

Two Equal Dihedral Angles

Illustration of 2 equal dihedral angles.

Illustration of 3 equal dihedral angles. "Two dihedral angles have the same ratio as their plane angles."

Equal Dihedral Angles

Illustration of 3 equal dihedral angles. "Two dihedral angles have the same ratio as their plane angles."

Illustration used to show that two trihedral angles are equal or symmetrical when the three face angles of the one are respectively equal to the three face angles of the other.

Equal trihedral angles

Illustration used to show that two trihedral angles are equal or symmetrical when the three face angles…

An illustration showing an angle the is greater than a right angle and less than a straight angle. This is an obtuse angle (solid curved arrow). The angle that is greater than a straight angle and less than two straight angles is called a reflex angle (dashed curved arrow).

Obtuse And Reflex Angles

An illustration showing an angle the is greater than a right angle and less than a straight angle. This…

An illustration showing when one straight line meets another straight line and makes the adjacent angles equal, each of these angles is called a right angle.

Right Angles With Same Vertex

An illustration showing when one straight line meets another straight line and makes the adjacent angles…

An illustration of angles with the same vertex made up of 4 lines.

Angles With Same Vertex

An illustration of angles with the same vertex made up of 4 lines.

Angles used to illustrate the sum and difference of two angles and trig identities.

Angles Used to Illustrate Sum and Difference of Two Angles

Angles used to illustrate the sum and difference of two angles and trig identities.

Illustration of the superposition of two angles to compare magnitudes of the same kind.

Superposition of Angles

Illustration of the superposition of two angles to compare magnitudes of the same kind.

Illustration of supplementary angles. Two angles whose sum is a straight angle.

Supplementary Angles

Illustration of supplementary angles. Two angles whose sum is a straight angle.

Illustration of supplementary angles. Two angles whose sum is a straight angle. This can be used tow show the Theorem: If two adjacent angles have their exterior sides in a straight line, these angles are supplementary.

Supplementary Angles

Illustration of supplementary angles. Two angles whose sum is a straight angle. This can be used tow…

Illustration of supplementary angles. Two angles whose sum is a straight angle. This can be used tow show the Theorem: If two adjacent angles are supplementary, their exterior sides are in the same straight line.

Supplementary Angles

Illustration of supplementary angles. Two angles whose sum is a straight angle. This can be used tow…

Illustration that can be used to show supplementary angles. The angles form a straight line.

Supplementary Angles

Illustration that can be used to show supplementary angles. The angles form a straight line.

Diagram used to prove the theorem: "Two trihedral angles, which have three face angles of the one equal respectively to three face angles of the other , are either equal or symmetrical."

Symmetrical or Equal Trihedral Angles

Diagram used to prove the theorem: "Two trihedral angles, which have three face angles of the one equal…

Lines drawn to horizontal to form triangle ratios (reference triangles, angles).

Reference Angles/Triangles Formed by Angles in Quadrants

Lines drawn to horizontal to form triangle ratios (reference triangles, angles).

Lines drawn to horizontal to form triangle ratios (reference triangles, angles). Axes, quadrants, abscissa, ordinate, and distance labeled.

Reference Angles/Triangles Formed by Angles in Quadrants With Labels

Lines drawn to horizontal to form triangle ratios (reference triangles, angles). Axes, quadrants, abscissa,…

Vertical angles are when two angles have the same vertex, and the sides of the one are prolongations of the sides of the other. In this illustration, a and b are vertical angles and c and d are vertical angles.

Vertical Angles

Vertical angles are when two angles have the same vertex, and the sides of the one are prolongations…

Illustration of two angles whose sides are parallel, each to each, to show they are either equal or supplementary.

Angles With Parallel Sides

Illustration of two angles whose sides are parallel, each to each, to show they are either equal or…

Illustration showing arcs measured in positive and negative angles.

Positive and Negative Arcs in Circles

Illustration showing arcs measured in positive and negative angles.

Illustration showing that the bisector of a given angle is the locus of points equidistant from the sides of the angle.

Angle Bisector

Illustration showing that the bisector of a given angle is the locus of points equidistant from the…

Illustration showing that the perpendicular bisector of a given line is the locus of points equidistant from the extremities of the line.

Perpendicular Bisector of a Line

Illustration showing that the perpendicular bisector of a given line is the locus of points equidistant…

This gas chandelier is made out of metal and has a bold style with curves and angles.

Gas Chandelier

This gas chandelier is made out of metal and has a bold style with curves and angles.

Illustration of a circle used to prove "All angles inscribed in the same segment are equal."

Angles Inscribed in the Same Segment Circle Proof

Illustration of a circle used to prove "All angles inscribed in the same segment are equal."