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. Angles formed...

the prime meridian (Greenwich hour angle, GHA), from the local meridian (local hour angle, LHA) or from the first point of Aries (sidereal hour angle, SHA)...

usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. It is not an SI unit—the SI unit...

direction angle θ ′ {\displaystyle \theta ^{\prime }} of this reflected line (vector) has the value θ ′ = 2 α − θ . {\displaystyle \theta ^{\prime }=2\alpha...

may be constructed using straightedge, compass, and an angle trisector if and only if the prime factors of n {\displaystyle n} are any number of copies...

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....

product of one or more distinct Fermat primes. Again, denote the set of rational numbers by Q. Theorem: An angle of measure θ may be trisected if and only...

golden ratio. The obtuse angle of the broad rhombic faces is also the dihedral angle of a regular icosahedron, with the obtuse angle in the faces of golden...

Spatial rotations in three dimensions can be parametrized using both Euler angles and unit quaternions. This article explains how to convert between the two...

small angles, such as astronomy, optometry, ophthalmology, optics, navigation, land surveying, and marksmanship. To express even smaller angles, standard...

wavelengths (colors) of light will be deflected by the prism at different angles. This is a result of the prism material's index of refraction varying with...

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...

axis, or z-axis); the polar angle θ of the radial line r; and the azimuthal angle φ of the radial line r. The polar angle θ is measured between the z-axis...

meanings, often for denoting specific mathematical functions and subformulas. Angle brackets or chevrons ⟨ ⟩ were the earliest type of bracket to appear in...

The turn (symbol tr or pla) is a unit of plane angle measurement that is the angular measure subtended by a complete circle at its center. It is equal...

the vertices with a given angle at the south pole and run the side with given length up the prime meridian. Knowing both angles at either end of the segment...

The Ingraham Angle is an American conservative news and opinion-based talk show that premiered on October 30, 2017, on the Fox News channel. The show...

magnetic field axis is fixed. The angle between the two is known as the power angle, torque angle, or rotor angle. During any disturbance, the rotor...

polyhedral may refer to: Dihedral angle, the angle between two mathematical planes Dihedral (aeronautics), the upward angle of a fixed-wing aircraft's wings...

\varphi ,\ \sin \varphi ).} Here, the prime symbol denotes the derivative with respect to t. Thus, the tangential angle specifies the direction of the velocity...

or 0.089 inches). Primes are also used for angles. The prime symbol ′ is used for arcminutes (1⁄60 of a degree), and the double prime ″ for arcseconds...

connecting points of equal longitude, which is the angle (in degrees or other units) east or west of a given prime meridian (currently, the IERS Reference Meridian)...

view. It is important to distinguish the angle of view from the angle of coverage, which describes the angle range that a lens can image. Typically the...

In photography and cinematography, a wide-angle lens is a lens covering a large angle of view. Conversely, its focal length is substantially smaller than...

angle trisector, or using paper folding. Except for 2 and the Fermat primes, every Pierpont prime must be 1 modulo 6. The first few Pierpont primes are:...

only available as prime lenses due to design or cost constraints. Examples of such specialist lenses are: extreme telephoto or wide angle, lenses with tilt...

The Order of Nine Angles (ONA or O9A) is a militant Satanic left-hand path occultist network that originated in the United Kingdom but has since branched...

Alexandria (c. 325 AD) as "a not inconsiderable error". Angle trisection Constructible polygon Pierpont prime Quadratrix Steel square Tomahawk (geometry) Trisectrix...

power of two and a set of distinct Fermat primes. In addition there is a dense set of constructible angles of infinite order. Given a set of points in...

vertices in the Tutte–Coxeter graph. The measure of the central angle and exterior angle of a dodecagon, which is the petrie polygon of the 24-cell. The...