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From Biology-Online Dictionary
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1. To fish with an angle (fishhook), or with hook and line.

2. (Science: geometry) The figure made by two lines which meet. The difference of direction of two lines. In the lines meet, the point of meeting is the vertex of the angle.

3. A projecting or sharp corner; an angular fragment. Though but an angle reached him of the stone. (Dryden)

Curvilineal angle, one formed by two curved lines. External angles, angles formed by the sides of any right-lined figure, when the sides are produced or lengthened. Internal angles, those which are within any right-lined figure. Mixtilineal angle, one formed by a right line with a curved line. Oblique angle, one acute or obtuse, in opposition to a right angle. Obtuse angle, one greater than a right angle, or more than 90 deg . Rectilineal or right-lined angle, one formed by two right lines. Right angle, one formed by a right line falling on another perpendicularly, or an angle of 90 deg (measured by a quarter circle). Solid angle, the figure formed by the meeting of three or more plane angles at one point. Spherical angle, one made by the meeting of two arcs of great circles, which mutually cut one another on the surface of a globe or sphere. Visual angle, the angle formed by two rays of light, or two straight lines drawn from the extreme points of an object to the center of the eye.

4. (Science: astronomy) a name given to four of the twelve astrological houses.

Origin: f. Angle 417 , L. Angulus angle, corner; akin to uncus hook, gr. Bent, crooked, angular, a bend or hollow, as. Angel hook, fish-hook, g. Angel, and f. Anchor.