# Emily Dickinson Lexicon

## Definition for AN'GLE

AN'GLE, n. [Fr. *angle*; L. *angulus*, a corner; Gr. αγκυλος, W. *ongle*; G. and D. *angel*, a hook, an angle; Dan. *angel*, a hook, angle, a sting; Sax. *angel*, a hook; Sp. and Port. *angulo*; It. *angolo*. The German has *angeln*, for angling to with a hook; but in D. *hengel* is the rod, and *hengelen*, to angle. Qu. hinge and hang.]

In *popular language*, the point where two lines meet or the meeting of two lines in a point; a corner.
In *geometry*, the space comprised between two straight lines that meet in a point, or between two straight converging lines which, if extended, would meet; or the quantity by which two straight lines, departing from a point, diverge from each other. The point of meeting is the vertex of the angle, and the lines, containing the angle, are its sides or legs.
In *optics*, the *angle of incidence* is the angle which a ray of light makes with a perpendicular to the surface, or to that point of the surface on which it falls.
The *angle of refraction* is the angle which a ray of light refracted makes with the surface of the refracting medium; or rather with a perpendicular to that point of the surface on which it falls. – Encyc.
A *right angle* is one formed by a right line falling on another perpendicularly, or an angle of 90 degrees, making the quarter of a circle.
An *obtuse angle* is greater than a right angle, or more than 90 degrees.
An *acute angle* is less than a right angle, or less than 90 degrees.
A *rectilineal* or right-lined angle is formed by two right lines.
A *curvilineal angle* is formed by two curved lines.
A *mixed angle* is formed by a right line with a curved line.
*Adjacent* or *contiguous angles* are such as have one leg common to both angles, and both together are equal to two right angles.
*External angles* are angles of any right-lined figure without it, when the sides are produced or lengthened.
*Internal angles* are those which are within any right-lined figure.
*Oblique angles* are either acute or obtuse, in opposition to right angles.
A *solid angle* is the meeting of three or more plane angles at one point.
A *spherical angle* is one made by the meeting of two arches of great circles, which mutually cut one another on the surface of the globe or sphere. – Bailey.

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