# 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 antiquitygeometric 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.
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.

## 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.

## 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.
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
References in periodicals archive ?
A5, A10, and alpha angle were not able to predict the rivaroxaban plasma concentration > 30 ng/mL, the AUCs were below 0.5.
(22,23) In comparing a group of 22 semi-professional soccer players to 22 amateur soccer players, it was found that the semi-professional group had a significantly higher mean alpha angle, which predisposes impingement.
(22) Acetabular depth can be quantified on the same oblique axial images that are used to calculate the alpha angle. The depth is calculated by drawing a line connecting the anterior and posterior acetabular rims and a parallel line that passes through the center of the femoral head.
In contrast, the heparinase-modified samples demonstrated a decrease in the R-time, alpha angle and maximum amplitude over the five-day postoperative period reflecting a relative postoperative hypercoagulable state.
Is the frog lateral plain radiograph a reliable predictor of the alpha angle in femoroacetabular impingement?
Thirty-three male and female professional ballet dancers (mean age: 27 years; range: 19 to 39 years) completed questionnaires with hip pain measured on a visual analogue scale and underwent 3.0-T magnetic resonance imaging (3T MRI) to measure lateral center edge angles (LCEA), alpha angles in the anterior and superior position, femoral neck-shaft angles (NSA), acetabular version angles, and to detect acetabular labral tear and articular cartilage defects.

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