en.wikipedia.org/wiki/Plane_(geometry)

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.Planes can arise as subspaces of some higher-dimensional space, as with a room's walls extended infinitely far, or they may enjoy an independent existence in their own right, as in the .....

www.mathsisfun.com/geometry/plane.html

Plane vs Plain. In geometry a "plane" is a flat surface with no thickness. But a "plain" is a treeless mostly flat expanse of land... it is also flat, but not in the pure sense we use in geometry.. Both words have other meanings too: Plane can also mean an airplane, a level, or a tool for cutting things flat

mathopenref.com/plane.html

Coordinate Geometry. In another branch of mathematics called coordinate geometry, points are located on the plane using their coordinates - two numbers that show where the point is positioned. To achieve this, the plane is thought to have two scales at right angles. Using a pair of numbers, any point on the plane can be uniquely described.

www.dummies.com/.../math/pre-algebra/plane-geometry-points-lines-angles-and-shapes

Plane geometry is the study of figures on a two-dimensional surface — that is, on a plane. You can think of the plane as a piece of paper with no thickness at all. Technically, a plane doesn’t end at the edge of the paper — it continues forever. Making some points A point is a …

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mathworld.wolfram.com/Plane.html

A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors. The generalization of the plane to higher dimensions is called a hyperplane. The angle between two intersecting planes is known as the dihedral angle. The equation of a plane with nonzero normal vector n=(a,b,c) through the point x_0=(x_0,y_0,z_0) is n·(x-x_0)=0, (1) where x=(x,y,z).

www.merriam-webster.com/dictionary/plane geometry

Plane geometry definition is - a branch of elementary geometry that deals with plane figures.

www.britannica.com/science/Euclidean-geometry/Plane-geometry

Euclidean geometry - Euclidean geometry - Plane geometry: Two triangles are said to be congruent if one can be exactly superimposed on the other by a rigid motion, and the congruence theorems specify the conditions under which this can occur. The first such theorem is the side-angle-side (SAS) theorem: If two sides and the included angle of one triangle are equal to two sides and the included ...

simple.wikipedia.org/wiki/Plane_(mathematics)

More mathematical. In mathematics, a plane is a fundamental two-dimensional object. Intuitively, it looks like a flat infinite sheet of paper. There are several definitions of the plane. They are equivalent in the sense of Euclidean geometry, but they can be extended in different ways to define objects in other areas of mathematics.The only 2 dimensional figure in our 3 dimensional world is a ...

www.mathsisfun.com/definitions/plane.html

Illustrated definition of Plane: A flat surface with no thickness. It extends forever. We often draw a plane with edges, but it really has...