The Collaborative International Dictionary
Plane \Plane\, n. [F. plane, L. plana. See Plane, v. & a.]
(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 curvature.
(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.
(Mech.) A block or plate having a perfectly flat surface, used as a standard of flatness; a surface plate.
-
(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, etc. 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.
The plane on which the projection is made, corresponding to the perspective plane in perspective; -- called also principal plane.
-
(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.
Wikipedia
In projective geometry, a plane at infinity refers to the hyperplane at infinity of a three dimensional projective space or to any plane contained in the hyperplane at infinity of any projective space of higher dimension. This article will be concerned solely with the three dimensional case.
Usage examples of "plane at infinity".
And any such plane can be given the character of a plane at infinity by relating it to a point infinitely far away from it (i.
On and on it went, until it seemed that the private Underhills they inhabited were separate universes, Riemannian spaces that intersected each other only at the plane at infinity, each of them meanwhile wandering in the long reach of his or her own idiocosmos.