# angle

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## angle,

in mathematics, figure formed by the intersection of two straight lines; the lines are called the sides of the angle and their point of intersection the vertex of the angle. Angles are commonly measured in degrees (°) or in radians. If one side and the vertex of an angle are fixed and the other side is rotated about the vertex, it sweeps out a complete circle of 360° or 2π radians with each complete rotation. Half a rotation from 0° or 0 radians results in a straight angle, equal to 180° or π radians; the sides of a straight angle form a straight line. A quarter rotation (half of a straight angle) results in a right angle, equal to 90° or π/2 radians; the sides of a right angle are perpendicular to one another. An angle less than a right angle is acute, and an angle greater than a right angle is obtuse. Two angles that add up to a right angle are complementary. Two angles that add up to a straight angle are supplementary. One of the geometric problems of antiquity**geometric problems of antiquity,**

three famous problems involving elementary geometric constructions with straight edge and compass, conjectured by the ancient Greeks to be impossible but not proved to be so until modern times.

**.....**Click the link for more information. is the trisection of an angle. Angles can also be formed by higher–dimensional figures, as by a line and a plane, or by two intersecting planes.

The Columbia Electronic Encyclopedia™ Copyright © 2013, Columbia University Press. Licensed from Columbia University Press. All rights reserved. www.cc.columbia.edu/cu/cup/

## Angle (Angular)

(religion, spiritualism, and occult)The term “angle” can be used in two different ways in astrology. In its primary, traditional meaning, angle refers to one of the four “corners” (figuratively speaking) of a chart—namely, the cusps of the first, fourth, seventh, and tenth houses. Planets making a conjunction with the angles—which are sometimes called angular planets, particularly when they are in an angular house—are said to exercise an especially strong influence over the entire horoscope. In practice, astrologers pay the most attention to angular planets in the first and tenth houses. Angle is also used as an alternative term for aspect, as when one talks about the angular relationship between two planets.

The Astrology Book, Second Edition © 2003 Visible Ink Press®. All rights reserved.

## angle

[′aŋ·gəl] (mathematics)

The geometric figure, arithmetic quantity, or algebraic signed quantity determined by two rays emanating from a common point or by two planes emanating from a common line.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## angle

**1.**The figure made by two lines that meet.

**2.**The difference in direction of such intersecting lines, or the space within them.

**3.**A projecting or sharp corner.

**4.**A secluded area resembling a corner; a nook.

**5.**An L-shaped metal member; an angle iron.

**6.**See

**bevel angle**.

**7.**A fitting on a gutter for rainwater which changes the gutter’s direction.

McGraw-Hill Dictionary of Architecture and Construction. Copyright © 2003 by McGraw-Hill Companies, Inc.

## angle

**1.**the space between two straight lines that diverge from a common point or between two planes that extend from a common line

**2.**the shape formed by two such lines or planes

**3.**the extent to which one such line or plane diverges from another, measured in degrees or radians

Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005