### Angle

**AN'GLE**, *noun* [Latin angulus, a corner. Gr.]

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.

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.

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 plain 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.

**AN'GLE**, *noun* A hook; an instrument to take fish, consisting of a rod, a line and a hook, or a line and hook.

**AN'GLE**, *verb intransitive*

**1.** To fish with an *angle* or with line and hook.

**2.** *verb transitive* or i. To fish for; to try to gain by some bait or insinuation, as men *angle* for fish; as, to *angle* for the hearts of people, or to *angle* hearts.