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10 definitions found
From The Collaborative International Dictionary of English v.0.44 :   [ gcide ]

  Spherical \Spher"ic*al\, Spheric \Spher"ic\, a. [L. sphaericus,
     Gr. ???: cf. F. sph['e]rique.]
     1. Having the form of a sphere; like a sphere; globular;
        orbicular; as, a spherical body.
        [1913 Webster]
  
     2. Of or pertaining to a sphere.
        [1913 Webster]
  
     3. Of or pertaining to the heavenly orbs, or to the sphere or
        spheres in which, according to ancient astronomy and
        astrology, they were set.
        [1913 Webster]
  
              Knaves, thieves, and treachers by spherical
              predominance.                         --Shak.
        [1913 Webster]
  
              Though the stars were suns, and overburned
              Their spheric limitations.            --Mrs.
                                                    Browning.
        [1913 Webster]
  
     Spherical angle, Spherical co["o]rdinate, Spherical
     excess, etc. See under Angle, Coordinate, etc.
  
     Spherical geometry, that branch of geometry which treats of
        spherical magnitudes; the doctrine of the sphere,
        especially of the circles described on its surface.
  
     Spherical harmonic analysis. See under Harmonic, a.
  
     Spherical lune,portion of the surface of a sphere included
        between two great semicircles having a common diameter.
  
     Spherical opening, the magnitude of a solid angle. It is
        measured by the portion within the solid angle of the
        surface of any sphere whose center is the angular point.
        
  
     Spherical polygon,portion of the surface of a sphere
        bounded by the arcs of three or more great circles.
  
     Spherical projection, the projection of the circles of the
        sphere upon a plane. See Projection.
  
     Spherical sector. See under Sector.
  
     Spherical segment, the segment of a sphere. See under
        Segment.
  
     Spherical triangle,re on the surface of a sphere, bounded
        by the arcs of three great circles which intersect each
        other.
  
     Spherical trigonometry. See Trigonometry.
        [1913 Webster] -- Spher"ic*al*ly, adv. --
        Spher"ic*al*ness, n.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.44 :   [ gcide ]

  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.
        [1913 Webster]
  
              Into the utmost angle of the world.   --Spenser.
        [1913 Webster]
  
              To search the tenderest angles of the heart.
                                                    --Milton.
        [1913 Webster]
  
     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.
            [1913 Webster]
  
     3. A projecting or sharp corner; an angular fragment.
        [1913 Webster]
  
              Though but an angle reached him of the stone.
                                                    --Dryden.
        [1913 Webster]
  
     4. (Astrol.) A name given to four of the twelve astrological
        ``houses.'' [Obs.] --Chaucer.
        [1913 Webster]
  
     5. [AS. angel.] A fishhook; tackle for catching fish,
        consisting of a line, hook, and bait, with or without a
        rod.
        [1913 Webster]
  
              Give me mine angle: we 'll to the river there.
                                                    --Shak.
        [1913 Webster]
  
              A fisher next his trembling angle bears. --Pope.
        [1913 Webster]
  
     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.
        [1913 Webster]

From Webster's Revised Unabridged Dictionary (1913) :   [ web1913 ]

  Spherical \Spher"ic*al\, Spheric \Spher"ic\, a. [L. sphaericus,
     Gr. ???: cf. F. sph['e]rique.]
     1. Having the form of a sphere; like a sphere; globular;
        orbicular; as, a spherical body.
  
     2. Of or pertaining to a sphere.
  
     3. Of or pertaining to the heavenly orbs, or to the sphere or
        spheres in which, according to ancient astronomy and
        astrology, they were set.
  
              Knaves, thieves, and treachers by spherical
              predominance.                         --Shak.
  
              Though the stars were suns, and overburned Their
              spheric limitations.                  --Mrs.
                                                    Browning.
  
     Spherical angle, Spherical co["o]rdinate, Spherical
     excess, etc. See under Angle, Coordinate, etc.
  
     Spherical geometry, that branch of geometry which treats of
        spherical magnitudes; the doctrine of the sphere,
        especially of the circles described on its surface.
  
     Spherical harmonic analysis. See under Harmonic, a.
  
     Spherical lune,portion of the surface of a sphere included
        between two great semicircles having a common diameter.
  
     Spherical opening, the magnitude of a solid angle. It is
        measured by the portion within the solid angle of the
        surface of any sphere whose center is the angular point.
        
  
     Spherical polygon,portion of the surface of a sphere
        bounded by the arcs of three or more great circles.
  
     Spherical projection, the projection of the circles of the
        sphere upon a plane. See Projection.
  
     Spherical sector. See under Sector.
  
     Spherical segment, the segment of a sphere. See under
        Segment.
  
     Spherical triangle,re on the surface of a sphere, bounded
        by the arcs of three great circles which intersect each
        other.
  
     Spherical trigonometry. See Trigonometry. --
        Spher"ic*al*ly, adv. -- Spher"ic*al*ness, n.

From Webster's Revised Unabridged Dictionary (1913) :   [ web1913 ]

  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.
  
              Into the utmost angle of the world.   --Spenser.
  
              To search the tenderest angles of the heart.
                                                    --Milton.
  
     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.
  
     3. A projecting or sharp corner; an angular fragment.
  
              Though but an angle reached him of the stone.
                                                    --Dryden.
  
     4. (Astrol.) A name given to four of the twelve astrological
        ``houses.'' [Obs.] --Chaucer.
  
     5. [AS. angel.] A fishhook; tackle for catching fish,
        consisting of a line, hook, and bait, with or without a
        rod.
  
              Give me mine angle: we 'll to the river there.
                                                    --Shak.
  
              A fisher next his trembling angle bears. --Pope.
  
     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.

From WordNet (r) 2.0 :   [ wn ]

  spherical angle
       n : an angle formed at the intersection of the arcs of two great
           circles

From English Wiktionary: All languages (2023-07-27) :   [ dictinfo.com:wikt-en-ALL-2023-07-27 ]

  spherical angle
     n.
     (lb en geometry) A particular dihedral angle, the angle between two
  intersecting arcs on a sphere, measured by the angle between the planes
  containing the arcs.

From English Wiktionary: English language only (2023-07-27) :   [ dictinfo.com:wikt-en-en-2023-07-27 ]

  spherical angle
     n.
     (lb en geometry) A particular dihedral angle, the angle between two
  intersecting arcs on a sphere, measured by the angle between the planes
  containing the arcs.

From English Wiktionary: Western, Greek, and Slavonic languages only (2023-07-27) :   [ dictinfo.com:wikt-en-Western_Greek_Slavonic-2023-07-27 ]

  spherical angle
     n.
     (lb en geometry) A particular dihedral angle, the angle between two
  intersecting arcs on a sphere, measured by the angle between the planes
  containing the arcs.

From English Wiktionary: Western languages only (2023-07-27) :   [ dictinfo.com:wikt-en-Western-2023-07-27 ]

  spherical angle
     n.
     (lb en geometry) A particular dihedral angle, the angle between two
  intersecting arcs on a sphere, measured by the angle between the planes
  containing the arcs.

From English-日本語 (にほんご) FreeDict+WikDict dictionary ver. 2023.05.29 :   [ freedict:eng-jpn ]

  spherical angle /sfˈɛɹɪkəl ˈaŋɡəl/ 
  球面角
  particular dihedral angle

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