What is "angle"

1. v. move or proceed at an angle; "he angled his way into the room"

2. to incline or bend from a vertical position; "She leaned over the banister" [syn: lean, tilt, tip, slant]

3. seek indirectly; "fish for compliments" [syn: fish]

4. fish with a hook

5. present with a bias; "He biased his presentation so as to please the share holders" [syn: slant, weight]

In planar 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 by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Angles are also formed by the intersection of two planes in Euclidean and other spaces. These are called dihedral angles. Angles formed by the intersection of two curves in a plane are defined as the angle determined by the tangent rays at the point of intersection. Similar statements hold in space, for example, the spherical angle formed by two great circles on a sphere is the dihedral angle between the planes determined by the great circles.

Angle is also used to designate the measure of an angle or of a rotation. This measure is the ratio of the length of a circular arc to its radius. In the case of a geometric angle, the arc is centered at the vertex and delimited by the sides. In the case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation.

The word angle comes from the Latin word angulus, meaning "corner"; cognate words are the Greek (ankylοs), meaning "crooked, curved," and the English word " ankle". Both are connected with the Proto-Indo-European root *ank-, meaning "to bend" or "bow".

Euclid defines a plane angle as the inclination to each other, in a plane, of two lines which meet each other, and do not lie straight with respect to each other. According to Proclus an angle must be either a quality or a quantity, or a relationship. The first concept was used by Eudemus, who regarded an angle as a deviation from a straight line; the second by Carpus of Antioch, who regarded it as the interval or space between the intersecting lines; Euclid adopted the third concept, although his definitions of right, acute, and obtuse angles are certainly quantitative.

An angle is a geometrical figure that divides a circle.

Angle may also refer to:

The angles are the four Cardinal points of an astrological chart: the Ascendant, the Midheaven, the Descendant and the Imum Coeli.

The astrological chart is a schematic representation of the sky at any given moment of time, projected upon the ecliptic--or the apparent path of the Sun as seen from the Earth—which forms the circle in which the chart is enclosed. The longitudinal positions of the planets are plotted onto this circle, because the planets (except Pluto) and many stars, lie very close to the Sun's path in celestial latitude.

How this map of the sky is seen from the Earth is determined by where the horizon is at the time for which the chart is cast. The horizon forms the boundary between what can be seen, or the visible sky, and sky which exists on the opposite side of the earth, which exists at the same time and space, but cannot be seen.

The line of the horizon cuts across the circle of the chart horizontally, and forms the most important angle of the chart: the Ascendant, or the exact place where the Sun's path crosses the horizon in the East. It is at this point that all planets and many stars appears to rise up out of what cannot be seen and become apparent to the observer. This is because the Earth's daily rotation reveals sky objects from East to West, and makes them appear to be moving from the eastern horizon across the sky to the western horizon, where they disappear again to the observer, dipping down again to the unseen sky. The western horizon, where the Sun's path meets the horizon in the West, is called the Descendant.

The other very important angle of the chart is the Midheaven (also called the M.C. for the Latin Medium coeli, or "middle of the sky.") The Midheaven represents the highest point in the sky reached by the Sun, or its culmination, as it crosses from one horizon to the other—the noon point in a chart which is plotted for dawn. At the Earth's equator, it is the point on the ecliptic which is directly overhead from the observer; as the observer moves north or south from the Equator, the midheaven appears to withdraw, so that from points north of the equator, the noon point of the Sun appears to lie in the southern sky, and south of the equator, it appears in the northern sky.

The point opposite the Midheaven, which is in the unseen sky, and would be the midnight point in a chart cast for dawn, is the anticulmination of the Sun, or the Imum Coeli, which is Latin for the "bottom of the sky." This is the last of the four angles.

The angles are crucial to the understanding of the meaning of the sky map to the individual or event for which it was cast. There are no more individual points in chart. Much has been made by astrologers (deriving from the Theosophical tradition that is closely linked to much of modern astrological practice) of the quality of "coming into being" that they represent, as they represent going from the unseen to the seen. Since Theosophical astrology was tied to the idea of manifesting from the spiritual to the bodily form, the angles have come to symbolize this connection. However, even if this theory is discounted, as Bernadette Brady has noted, to all ancient peoples, the horizon was the place where the gods came into contact with the earth and became available to human supplication. Without this connection, the spiritual realm and the world had nothing to do with one another, and for that reason, astrology, which seeks to communicate between the two spheres, must use this place of connection to derive significance for the world from the sky.

For delineation of each of the angles, see:

• Ascendant
  • Accidental Ascendant
  • Equatorial Ascendant
• Midheaven
• Descendant
• Imum Coeli
• Angular house
• Succedent house
• Cadent house

ANGLE (Almost Native Graphics Layer Engine) is an open source, BSD-licensed graphics engine abstraction layer developed by Google. The API is mainly designed to bring high performance OpenGL compatibility to Windows desktops and to Web Browsers such as Google Chromium by translating calls to Direct3D, which has much better driver support. There are two backend renderers for ANGLE: the oldest one uses Direct3D 9.0c, while the newer one uses Direct3D 11.

ANGLE is currently used by a host of software including Google Chrome, Firefox, and the Qt Framework. It's also used by Windows 10 for the compatibility with Android Apps.

Angle is an album by English jazz pianist Howard Riley, which was released on CBS in 1969 as part of their Realm Jazz Series, and reissued on CD by Columbia in 1999. It features his working trio of that period, with bassist Barry Guy and drummer Alan Jackson. The fully notated "Three Fragments" is a flute-piano duet with Barbara Thompson.