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 for Plane at infinity
From The Collaborative International Dictionary of English v.0.48 :

  Plane \Plane\, n. [F. plane, L. plana. See Plane, v. & a.]
     1. (Geom.) A surface, real or imaginary, in which, if any two
        points are taken, the straight line which joins them lies
        wholly in that surface; or a surface, any section of which
        by a like surface is a straight line; a surface without
        [1913 Webster]
     2. (Astron.) An ideal surface, conceived as coinciding with,
        or containing, some designated astronomical line, circle,
        or other curve; as, the plane of an orbit; the plane of
        the ecliptic, or of the equator.
        [1913 Webster]
     3. (Mech.) A block or plate having a perfectly flat surface,
        used as a standard of flatness; a surface plate.
        [1913 Webster]
     4. (Joinery) A tool for smoothing boards or other surfaces of
        wood, for forming moldings, etc. It consists of a
        smooth-soled stock, usually of wood, from the under side
        or face of which projects slightly the steel cutting edge
        of a chisel, called the iron, which inclines backward,
        with an apperture in front for the escape of shavings; as,
        the jack plane; the smoothing plane; the molding plane,
        [1913 Webster]
     Objective plane (Surv.), the horizontal plane upon which
        the object which is to be delineated, or whose place is to
        be determined, is supposed to stand.
     Perspective plane. See Perspective.
     Plane at infinity (Geom.), a plane in which points
        infinitely distant are conceived as situated.
     Plane iron, the cutting chisel of a joiner's plane.
     Plane of polarization. (Opt.) See Polarization.
     Plane of projection.
        (a) The plane on which the projection is made,
            corresponding to the perspective plane in perspective;
            -- called also principal plane.
        (b) (Descriptive Geom.) One of the planes to which points
            are referred for the purpose of determining their
            relative position in space.
     Plane of refraction or Plane of reflection (Opt.), the
        plane in which lie both the incident ray and the refracted
        or reflected ray.
        [1913 Webster]

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