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.
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 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.

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.

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
References in periodicals archive ?
Lateral cephalograms produce distorted image of the gonial angle and do not permit reliable measurement of the individual angle and is measured as an intermediate angle between right and left gonial angles.
Several investigators compared the accuracy of OPG in determining the gonial angle and found that OPG is as reliable as lateral cephalogram in determining gonial angle.
On panoramic radiograph gonial angle was traced for both right and left sides Fig 1.
Descriptive data for numerical variables like age and gonial angle was calculated.
One way analysis of variance (ANOVA) was applied for differences in gonial angle between the groups.
Mean values of gonial angle on OPG and lateral cephalogram are presented in Table 2 with respective gender.
The gonial angle is formed by the line tangent to the lower border of the mandible and the line tangent to the distal border of the ascending ramus and condyle.
The effect of the individual age and gender on the size of the gonial angle is controversial.
33 A line was digitally traced on the panoramic radiographs tangential to the most inferior points at the gonial angle and the lower border of the mandibular body and another line tangential to the posterior borders of the ramus and the condyle.
Mann-Whitney U-test was used to compare the means of the gonial angle, ramus height and bigonial width between male and female subjects.
The mean of the gonial angle and ramus height on the right side were slightly higher than those on the left side (124.
TABLE 2: GENDER DIFFERENCES IN GONIAL ANGLE, RAMUS HEIGHT AND BIGONIAL WIDTH ON RIGHT AND LEFT SIDES