The plane that geometry refers to is not an airplane. A plane is a two-dimensional group of points that goes on infinitely in all directions; made up of infinite line. For example, a rectangle is a plane.
fg
A line.
A straight line
either the x plane or the y plane by themselves is one dimensional. Also any intersection of the x and y planes as described as sets or by an equation are one dimensional. In order to become three dimensional an intersecting plane, such a "z" plane would have to be added.
A line is one dimensional and can have infinite length.
The plane that geometry refers to is not an airplane. A plane is a two-dimensional group of points that goes on infinitely in all directions; made up of infinite line. For example, a rectangle is a plane.
fg
A line.
A straight line
The flat plane Postulate, shows another way that one dimensional object relate to the two-dimensional plane.
either the x plane or the y plane by themselves is one dimensional. Also any intersection of the x and y planes as described as sets or by an equation are one dimensional. In order to become three dimensional an intersecting plane, such a "z" plane would have to be added.
Line and Ray APEX
All three dimensional figures have more faces than a one dimensional figure. There are an infinite number of one dimensional points on a three dimensional figure
A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.
One-dimensional example: A semi-infinite medium is a medium that extends to infinity in one direction but has an end in the other direction
Two dimensional geometry.