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90° angle (π/2 radians)
In geometry and trigonometry, a right angle is an angle of exactly 90 degrees or π {\displaystyle \pi } /2 radians corresponding to a quarter turn
Right_angle
Triangle containing a 90-degree angle
A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular
Right_triangle
Figure formed by two rays meeting at a common point
multiple of a right angle is called an oblique angle. Angles A and B are adjacent. Angles A and B, and pair C and D are two pairs of vertical angles. Hatch marks
Angle
Topics referred to by the same term
A right angle is an angle that bisects the angle formed by two halves of a straight line. Right angle or Rightangle may also refer to: Right Angle (film)
Right_angle_(disambiguation)
Punctuation mark
angle brackets are needed. The angle brackets U+27E8 ⟨ MATHEMATICAL LEFT ANGLE BRACKET and U+27E9 ⟩ MATHEMATICAL RIGHT ANGLE BRACKET are for mathematical
Bracket
Coordinates comprising a distance and two angles
the origin and perpendicular to the polar axis (where the polar angle is a right angle) is called the reference plane (sometimes fundamental plane). The
Spherical_coordinate_system
On triangles inscribed in a circle with a diameter as an edge
the line AC is a diameter, the angle ∠ ABC is a right angle. Thales's theorem is a special case of the inscribed angle theorem and is mentioned and proved
Thales's_theorem
Convex quadrilateral with at least one pair of parallel sides
obtuse angle on each base. An example is parallelogram with equal acute angles. A right trapezoid is a trapezoid with two adjacent right angles. One special
Trapezoid
Construction of an angle equal to one third a given angle
solve for arbitrary angles. However, some special angles can be trisected: for example, it is trivial to trisect a right angle or an angle of 135 degrees,
Angle_trisection
Line intersecting 2 coplanar lines at 2 points
cuts two parallel lines at right angles is called a perpendicular transversal. In this case, all 8 angles are right angles When the lines are parallel
Transversal_(geometry)
Obscure typographical symbol
abbreviation of its ISO 9573-13 name, "Angle with Down Zig-zag Arrow", also reflected in its Unicode name, "Right Angle with Downwards Zigzag Arrow". Its HTML
Angzarr
Natural number between 89 and 91
An angle measuring 90 degrees is called a right angle. In normal space, the interior angles of a rectangle measure 90 degrees each, while in a right triangle
90_(number)
Geometry of figures on the surface of a sphere
is the pentagramma mirificum, a 5-sided spherical star polygon with a right angle at every vertex. From this point in the article, discussion will be restricted
Spherical_trigonometry
Series of paintings and writings by Le Corbusier
The Poem of the Right Angle (Le poème de l'angle droit) is a series of 19 paintings and corresponding writings composed by the influential Swiss-French
Poem_of_the_Right_Angle
theorem, ∠ D A B {\displaystyle \angle DAB} and ∠ D C B {\displaystyle \angle DCB} are both right angles. The right-angled triangles D A B {\displaystyle
List of trigonometric identities
List_of_trigonometric_identities
Measure in 3-dimensional geometry
In geometry, a solid angle (symbol: Ω) is a measure of the amount of the field of view from some particular point that a given object covers. That is
Solid_angle
Right triangle with a feature making calculations on the triangle easier
methods. Angle-based special right triangles are those involving some special relationship between the triangle's three angle measures. The angles of these
Special_right_triangle
Fundamental result in geometry
the sum of angles of a triangle equals a straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, and has
Sum_of_angles_of_a_triangle
Method for deriving motion equations using calculus
these equations of motion can be derived using calculus as functions of angle (angle domain) and of time (time domain). The geometry of the system consisting
Piston_motion_equations
Longest side of a right-angled triangle, the side opposite of the right angle
side of a right triangle that is opposite to the right angle. It is always the longest side of the triangle. The other two sides of a right triangle are
Hypotenuse
Functions of an angle
called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two
Trigonometric_functions
Astronomical equivalent of longitude
an oblique angle. Right ascension is the celestial equivalent of terrestrial longitude. Both right ascension and longitude measure an angle from a primary
Right_ascension
Collection of proofs of equations involving trigonometric functions
for some of them, for angles that differ from 0 by a multiple of the right angle (90°). Referring to the diagram at the right, the six trigonometric
Proofs of trigonometric identities
Proofs_of_trigonometric_identities
Division of something into two equal or congruent parts
line segment, and the angle bisector, a line that passes through the vertex of an angle (that divides it into two equal angles). In three-dimensional
Bisection
Relation between sine and cosine
size: the ratios depend upon the three angles, not the lengths of the sides. Thus for either of the similar right triangles in the figure, the ratio of
Pythagorean trigonometric identity
Pythagorean_trigonometric_identity
Quadrilateral with four right angles
quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4
Rectangle
Shape with three sides
Regarding the angles, a triangle in which one of the angles is a right angle (90° angle) is a right triangle. A triangle in which all of its angles are less
Triangle
Bead weaving technique
Right-angle weave stitch, also known as RAW, is an off-loom bead weaving technique. Beads are stitched together with thread only making right angle turns
Right-angle_weave
2020 American film
Adam (also known as Grounded, and Quad) is a 2020 American drama film starring Aaron Paul, Jeff Daniels and Tom Berenger. Filming took place in Detroit
Adam_(2020_film)
Problem of finding unknown lengths and angles of a triangle
does not exist if the angle β ≥ 90° and b ≤ c. If D = 1, a unique solution exists: γ = 90°, i.e., the triangle is right-angled. If D < 1 two alternatives
Solution_of_triangles
Relationship between two lines that meet at a right angle
two geometric objects are perpendicular if they intersect at right angles, i.e. at an angle of 90 degrees or π/2 radians. The condition of perpendicularity
Perpendicular
Relationship between two figures of the same shape and size, or mirroring each other
corresponding angles are acute, but it is always longer when the corresponding angles are right or obtuse. Where the angle is a right angle, also known
Congruence_(geometry)
Structural fastener
An angle bracket or angle brace or angle cleat is an L-shaped fastener used to join two parts generally at a 90-degree angle. It is typically made of
Angle_bracket_(fastener)
Mathematical model of the physical space
two angles taken together in any manner are less than two right angles." (Book I proposition 17) and the Pythagorean theorem "In right-angled triangles
Euclidean_geometry
Tetrahedron where all three face angles at one vertex are right angles
is a tetrahedron where all three face angles at one vertex are right angles. That vertex is called the right angle or apex of the trirectangular tetrahedron
Trirectangular_tetrahedron
1901–1903 physics experiment
to thought experiments such as the "Trouton–Noble paradox," and the "right-angle lever" or "Lewis–Tolman paradox". Several solutions have been proposed
Trouton–Noble_experiment
Quadrilateral with only 3 right angles
quadrilateral), is a quadrilateral in which three of its angles are right angles. Historically, the fourth angle of a Lambert quadrilateral was of considerable
Lambert_quadrilateral
Relation between sides of a right triangle
three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the
Pythagorean_theorem
from the longitudinal folding of the metal strips to form a right angle. Prototype slotted angle strips were developed by London-based engineer Demetrius
Slotted_angle
Fundamental trigonometric functions
functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: the sine of an acute angle of a right triangle is
Sine_and_cosine
Triangle in hyperbolic geometry
ideal point, one angle is right: the third angle is the angle of parallelism for the length of the side between the right and the third angle. The triangle
Hyperbolic_triangle
Property shared by codirectional lines
they form, respectively, an obtuse angle (greater than a right angle) or acute angle (smaller than a right angle); equivalently, obtuse directions and
Direction_(geometry)
Shape with four equal sides and angles
which have four equal sides. As with all rectangles, a square's angles are right angles (90 degrees, or π/2 radians), making adjacent sides perpendicular
Square
Directional planes
point on the equator intersects the plane tangent to the North Pole at a right angle. (See diagram). Furthermore, the equatorial plane is parallel to the
Vertical_and_horizontal
Flyer, pamphlet, or leaflet that is used to pass information about something
producing eight narrow panels. Double right-angle (French) fold — the sheet is folded in half and then again at a right angle; common for maps and posters. Larger
Brochure
Quadrilateral symmetric across a diagonal
orthodiagonal and tangential. They include as special cases the right kites, with two opposite right angles; the rhombi, with two diagonal axes of symmetry; and
Kite_(geometry)
SLR camera
The central-area eyepiece magnifier (2× enlargement) and a right-angle (variable angle) viewing attachment attach to the TTL-metered or non-TTL metered
Pentax_6×7
Angle between two planes in space
A dihedral angle is the angle between two intersecting planes or half-planes. It is a plane angle formed on a third plane, perpendicular to the line of
Dihedral_angle
Simple curve of Euclidean geometry
quadrilateral, the exterior angle is equal to the interior opposite angle. An inscribed angle subtended by a diameter is a right angle (see Thales' theorem)
Circle
Unit of plane angle where a full circle equals 1
turn include the half-turn and quarter-turn, spanning a straight angle and a right angle, respectively; metric prefixes can also be used as in, e.g., centiturns
Turn_(angle)
Type of right-angle constant-velocity joint
A Hobson's joint or Hobson's coupling is a type of right-angle constant-velocity joint; rods bent 90° are able to transmit torque around a corner because
Hobson's_joint
Double chevrons used as quotation marks
LEFT-POINTING DOUBLE ANGLE QUOTATION MARK («) U+00BB » RIGHT-POINTING DOUBLE ANGLE QUOTATION MARK (») U+2039 ‹ SINGLE LEFT-POINTING ANGLE QUOTATION MARK
Guillemet
Mnemonic for 3D vectors orientations and rotations
to j {\displaystyle j} (through one right angle) appears counter-clockwise." While Gibbs did not use the term right-handed in his discussion, his instructions
Right-hand_rule
Unit of plane angle where a full circle equals 360°
decimal "degrees" in France and nearby countries, where the number in a right angle is equal to 100 gon with 400 gon in a full circle (1° = 10⁄9 gon). This
Degree_(angle)
Angle formed in the interior of a circle
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
Inscribed_angle
Intersection of triangle altitudes
only if the triangle is acute. For a right triangle, the orthocenter coincides with the vertex at the right angle. For an equilateral triangle, all triangle
Orthocenter
Various meanings of the terms
post-classical Latin word orthogonalis came to mean a right angle or something related to a right angle. In mathematics, orthogonality is the generalization
Orthogonality
Triangles without a right angle
more than one obtuse angle. Acute and obtuse triangles are the two different types of oblique triangles—triangles that are not right triangles because they
Acute_and_obtuse_triangles
Three-dimensional analog of the Pythagorean theorem
tetrahedron has a right-angle corner (like the corner of a cube), then the square of the area of the face opposite the right-angle corner is the sum of
De_Gua's_theorem
Perpendicular line segment from a triangle's side to opposite vertex
having the incongruent side as its base will be the angle bisector of the vertex angle. In a right triangle, the altitude drawn to the hypotenuse c divides
Altitude_(triangle)
Brackets as used in mathematical notation
LEFT ANGLE BRACKET and U+27E9 ⟩ MATHEMATICAL RIGHT ANGLE BRACKET U+29FC ⧼ LEFT-POINTING CURVED ANGLE BRACKET and U+29FD ⧽ RIGHT-POINTING CURVED ANGLE BRACKET
Bracket_(mathematics)
Side of a right triangle
that are adjacent to the right angle. It is occasionally called a "side about the right angle". The side opposite the right angle is the hypotenuse. In the
Cathetus
Geometric axiom
interior angles on the same side that are less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum
Parallel_postulate
Angle in geometric optics
plane of the surface and another plane at right angles to the light rays. This means that the illumination angle of a certain point on Earth's surface is
Angle_of_incidence_(optics)
Temporary structure used to support a work crew and materials
angle of 35°-55° running right from the base to the top of the scaffold and fixed at every level. Of the couplers previously mentioned, right-angle couplers
Scaffolding
Gymnastics and Calisthenics skill
legs held horizontally so that each leg forms a nominal right-angle with the torso. The right-angle causes the body to have a notable "L" shape, hence the
L-sit
Arc-like path that the Sun appears to follow across the sky
cost-effective use of solar trackers. The solar zenith angle is the zenith angle of the Sun, i.e., the angle between the sun’s rays and the vertical direction
Sun_path
Five-sided reflecting prism
an image through a right angle without inverting it (that is, without changing the image's handedness) as an ordinary right-angle prism or mirror would
Pentaprism
Four-sided polygon
quadrilateral is cyclic if and only if opposite angles sum to 180°. Right kite: a kite with two opposite right angles. It is a cyclic kite, and thus a type of
Quadrilateral
Manhattan wiring (also known as right-angle wiring) is a technique for laying out circuits in computer engineering. Inputs to a circuit (specifically
Manhattan_wiring
Graphical method for the real roots of a polynomial
making right angles, with lengths equal to the coefficients of the polynomial. The roots of the polynomial can then be found as the slopes of other right-angle
Lill's_method
Self-similar curve related to golden ratio
that when θ is a right angle (a quarter turn in either direction): e b θ r i g h t = φ . {\displaystyle e^{b\theta _{\mathrm {right} }}=\varphi .} Therefore
Golden_spiral
Flight or sailing route along the shortest path between two points on a globe's surface
navigation (related to orthodromic course; from Ancient Greek ορθός (orthós) 'right angle' and δρόμος (drómos) 'path') is the practice of navigating a vessel (a
Great-circle_navigation
Family of infinite discrete groups
groups. Examples are free groups, free abelian groups, braid groups, and right-angled Artin–Tits groups, among others. The groups are named after Emil Artin
Artin–Tits_group
Type of line segment
from an angle and a point inside the angle as the shortest line segment through the point that has its endpoints on the two sides of the angle. Also known
Philo_line
Unit of measurement of an angle, equal to 1/400th of a circle
Greek γωνία (gōnía) 'angle'), grad, or grade – is a unit of measurement of an angle, defined as one-hundredth of the right angle; in other words, 100
Gradian
Angle in certain right triangles in the hyperbolic plane
hyperbolic geometry, angle of parallelism Π ( a ) {\displaystyle \Pi (a)} is the angle at the non-right angle vertex of a right hyperbolic triangle having
Angle_of_parallelism
Type of polearm with axe blade topped with a spike
in Western Europe. This consisted of a blade mounted on a pole at a right angle. The halberd is first mentioned (as hallenbarte) in a work by 13th-century
Halberd
Integer side lengths of a right triangle
about the right angle; then it takes the square of it, subtracts unity and makes half the difference the greater of the sides about the right angle; lastly
Pythagorean_triple
Generalization of Pythagorean theorem
Pythagorean theorem, which holds only for right triangles: if γ {\displaystyle \gamma } is a right angle then cos γ = 0 {\displaystyle \cos \gamma
Law_of_cosines
Type of polarizer
The two beams are polarized according to the optical axis of the two right angle prisms. The Wollaston prism consists of two orthogonal prisms of birefringent
Wollaston_prism
Flat tool used in carpentry to mark right angles and calculate angles
out structures that are square (that is, built at accurately measured right angles), many of which are made of steel, but the name steel square refers to
Steel_square
Description of the orientation of a rigid body
The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body with respect to a fixed coordinate system.
Euler_angles
Two geometries based on axioms closely related to those specifying Euclidean geometry
straight lines in such a manner that the interior angles on the same side are together less than two right angles, then the straight lines, if produced indefinitely
Non-Euclidean_geometry
Technique of illustration
First-angle projection: In this type of projection, the object is imagined to be in the first quadrant. Because the observer normally looks from the right side
Multiview orthographic projection
Multiview_orthographic_projection
Longest-match principle in parsing
would produce a parse error, because the right-shift operator token is encountered instead of two right-angle-bracket tokens: std::vector<std::vector<int>>
Maximal_munch
Flat transitional edge between two faces of an object
defined as a form of bevel, it is often created at a 45° angle between two adjoining right-angled faces. Chamfers are frequently used in machining, carpentry
Chamfer
Type of straight line mechanism
Russell linkage is a linkage that translates linear motion through a right angle. It is often used in vehicle suspensions. The linkage is named after
Scott_Russell_linkage
Quadrilateral with two pairs of parallel sides
length and four right angles. Rhomboid – A parallelogram with adjacent sides that are of unequal lengths and non-right angles (and thus is neither a
Parallelogram
Quadrilateral with sides of equal length
kite. A rhombus with right angles is a square. A non-square rhombus has two opposite acute angles and two opposite obtuse angles. The name rhombus comes
Rhombus
Polygon shape with eight sides
and orthodiagonal (that is, whose diagonals are equal in length and at right angles to each other). The midpoint octagon of a reference octagon has its eight
Octagon
Circles in two perpendicular families
the transformed pencils meet at right angles. Since inversion is a conformal transformation, it preserves the angles between the curves it transforms
Apollonian_circles
Geometric shape
cone. The aperture of a right circular cone is the maximum angle between two generatrix lines; if the generatrix makes an angle θ to the axis, the aperture
Cone
Symmetrical quadrilateral
cyclic kite). Thus the right kite is a convex quadrilateral and has two opposite right angles. If there are exactly two right angles, each must be between
Right_kite
German standard for electrical connectors
card/backplane configuration, the "normal" versions of these connectors have right-angle PCB mounting pins on the male DIN 41612 connector and straight PCB mounting
DIN_41612
Species of plant native to South Africa
and are carried individually or with two or three together mostly at a right angle to its branch. The perianth is 3–3½ cm long, yellow, orange or crimson
Leucospermum_cordifolium
Theorem about right triangles
since the converse of Thales' theorem ensures that the hypotenuse of the right angled triangle is the diameter of its circumcircle. The formulation in terms
Geometric_mean_theorem
Square whose vertices lie on a triangle
lying on each of its three sides. In a right triangle there are two inscribed squares, one touching the right angle of the triangle and the other lying on
Inscribed square in a triangle
Inscribed_square_in_a_triangle
Object used in engineering and technical drawing
drawing, with the aim of providing a straightedge at a right angle or other particular planar angle to a baseline. The simplest form of set square is a triangular
Set_square
Area of geometry, about angles and lengths
relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios
Trigonometry
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