angle


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Related to angle: critical angle, solid angle, reference angle

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 classic literature ?
He advanced towards the angle, and summoning all his resolution, attacked the ground with the pickaxe.
The cruiser, already tilted at a perilous angle, was carried completely over backward by the impact of my smaller vessel.
Let me try," I said impatiently, for the situation of the stone, right in the angle of the corner, was such that it was impossible for two to pull at once.
At night, one could distinguish nothing of all that mass of buildings, except the black indentation of the roofs, unrolling their chain of acute angles round the place; for one of the radical differences between the cities of that time, and the cities of the present day, lay in the façades which looked upon the places and streets, and which were then gables.
At a right angle across the animal's neck face upward, a bullet in the brain, lay the body of Trooper Dunning, stiff as a statue, hours dead.
They were recognized as graves by the discolored stones or rotting boards at head and foot, leaning at all angles, some prostrate; by the ruined picket fences surrounding them; or, infrequently, by the mound itself showing its gravel through the fallen leaves.
Her ladyship appeared again round the angle of the wall.
He reefed hastily to the uttermost, and at the same time depressed the angle of his flight to meet that upward surge.
The term parallax proving "caviare to the general," they further explained that it meant the angle formed by the inclination of two straight lines drawn from either extremity of the earth's radius to the moon.
41421 (or at some lesser distance), from the centres of the six surrounding spheres in the same layer; and at the same distance from the centres of the adjoining spheres in the other and parallel layer; then, if planes of intersection between the several spheres in both layers be formed, there will result a double layer of hexagonal prisms united together by pyramidal bases formed of three rhombs; and the rhombs and the sides of the hexagonal prisms will have every angle identically the same with the best measurements which have been made of the cells of the hive-bee.
The story is famous of how Pope Gregory the Great, struck by the beauty of certain Angle slave-boys at Rome, declared that they ought to be called not
At about two-thirds of its length this gallery, at a right angle, joined another gallery following the course of the right wing.