The Collaborative International Dictionary of English v.0.48:

Angle \An"gle\ ([a^][ng]"g'l), n. [F. angle, L. angulus angle,
   corner; akin to uncus hook, Gr. 'agky`los bent, crooked,
   angular, 'a`gkos a bend or hollow, AS. angel hook, fish-hook,
   G. angel, and F. anchor.]
   1. The inclosed space near the point where two lines meet; a
      corner; a nook.
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            Into the utmost angle of the world.   --Spenser.
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            To search the tenderest angles of the heart.
                                                  --Milton.
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   2. (Geom.)
      (a) The figure made by. two lines which meet.
      (b) The difference of direction of two lines. In the lines
          meet, the point of meeting is the vertex of the angle.
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   3. A projecting or sharp corner; an angular fragment.
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            Though but an angle reached him of the stone.
                                                  --Dryden.
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   4. (Astrol.) A name given to four of the twelve astrological
      "houses." [Obs.] --Chaucer.
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   5. [AS. angel.] A fishhook; tackle for catching fish,
      consisting of a line, hook, and bait, with or without a
      rod.
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            Give me mine angle: we 'll to the river there.
                                                  --Shak.
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            A fisher next his trembling angle bears. --Pope.
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   Acute angle, one less than a right angle, or less than
      90[deg].

   Adjacent or Contiguous angles, such as have one leg
      common to both angles.

   Alternate angles. See Alternate.

   Angle bar.
      (a) (Carp.) An upright bar at the angle where two faces of
          a polygonal or bay window meet. --Knight.
      (b) (Mach.) Same as Angle iron.

   Angle bead (Arch.), a bead worked on or fixed to the angle
      of any architectural work, esp. for protecting an angle of
      a wall.

   Angle brace, Angle tie (Carp.), a brace across an
      interior angle of a wooden frame, forming the hypothenuse
      and securing the two side pieces together. --Knight.

   Angle iron (Mach.), a rolled bar or plate of iron having
      one or more angles, used for forming the corners, or
      connecting or sustaining the sides of an iron structure to
      which it is riveted.

   Angle leaf (Arch.), a detail in the form of a leaf, more or
      less conventionalized, used to decorate and sometimes to
      strengthen an angle.

   Angle meter, an instrument for measuring angles, esp. for
      ascertaining the dip of strata.

   Angle shaft (Arch.), an enriched angle bead, often having a
      capital or base, or both.

   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.

   Facial angle. See under Facial.

   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].

   Optic angle. See under Optic.

   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.

   For Angles of commutation, draught, incidence,
   reflection, refraction, position, repose, fraction,
      see Commutation, Draught, Incidence, Reflection,
      Refraction, etc.
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The Collaborative International Dictionary of English v.0.48:

Angle \An"gle\, v. t.
   To try to gain by some insinuating artifice; to allure.
   [Obs.] "He angled the people's hearts." --Sir P. Sidney.
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The Collaborative International Dictionary of English v.0.48:

Angle \An"gle\, v. i. [imp. & p. p. Angled; p. pr. & vb. n.
   Angling.]
   1. To fish with an angle (fishhook), or with hook and line.
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   2. To use some bait or artifice; to intrigue; to scheme; as,
      to angle for praise.
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            The hearts of all that he did angle for. --Shak.
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WordNet (r) 3.0 (2006):

angle
    n 1: the space between two lines or planes that intersect; the
         inclination of one line to another; measured in degrees or
         radians
    2: a biased way of looking at or presenting something [syn:
       slant, angle]
    3: a member of a Germanic people who conquered England and
       merged with the Saxons and Jutes to become Anglo-Saxons
    v 1: move or proceed at an angle; "he angled his way into the
         room"
    2: to incline or bend from a vertical position; "She leaned over
       the banister" [syn: lean, tilt, tip, slant, angle]
    3: seek indirectly; "fish for compliments" [syn: fish,
       angle]
    4: fish with a hook
    5: present with a bias; "He biased his presentation so as to
       please the share holders" [syn: slant, angle, weight]

Moby Thesaurus II by Grady Ward, 1.0:

239 Moby Thesaurus words for "angle":
   Anschauung, L, action, aim, anagnorisis, angle for,
   angle of vision, angle off, apex, approach, architectonics,
   architecture, argument, aspect, atmosphere, background,
   bait the hook, base, basis, be after, bear off, bend, bias,
   bifurcate, bifurcation, bight, bob, bow, branch, brew, cabal, cant,
   catastrophe, characterization, chevron, clam, coign of vantage,
   coin, collude, color, complication, complot, concoct,
   configuration, connive, conspire, continuity, contrivance,
   contrive, cook up, corner, countermine, counterplot, crank, crook,
   crotchet, cusp, dap, deflect, deflection, denouement, design,
   detail, development, deviate, device, dib, dibble, direction,
   distance, divagate, diverge, dogleg, drive, edge, effect, eidolon,
   elbow, ell, engineer, episode, eye, fable, facet, falling action,
   fashion, feature, figure, finagle, finesse, fish, fish for,
   flection, flexure, fly-fish, footing, fork, form, frame,
   frame of reference, frame up, framework, furcate, furcation,
   gerrymander, gestalt, gig, gimmick, go fishing, grig, ground,
   guddle, guise, hand, hatch, hatch a plot, hatch up, hook, hunt for,
   image, imago, impression, incident, inflection, intersection,
   intrigue, item, jack, jacklight, jig, jockey, knee, lay a plot,
   light, likeness, line, lineaments, local color, look, look for,
   machinate, maneuver, manipulate, manner, mental outlook, mood,
   motif, movement, mythos, net, nook, oblique, oblique angle,
   operate, outlook, particular, peripeteia, perspective, phase,
   phasis, place, plan, play games, plot, point, point of view,
   position, post, projection, pull strings, quoin, recognition,
   reference, reference system, regard, respect, rig, right angle,
   rising action, salient angle, scheme, seat, secondary plot, seek,
   seeming, seine, semblance, shape, sheer, shrimp, side, sight,
   simulacrum, situation, skew, slant, slue, spin, stand, standing,
   standpoint, station, status, still-fish, story, structure, style,
   subject, subplot, sway, swerve, switch, system,
   thematic development, theme, tone, topic, torch, total effect,
   trawl, troll, try for, turn, turning, twist, universe, vantage,
   vantage point, veer, venue, vertex, view, viewpoint, wangle, whale,
   wise, zag, zig, zigzag