A plane is **a flat surface that extends infinitely in all directions**. Given any three non-collinear points, there is exactly one plane through them.

Contents

- 1 How do you define a plane in math?
- 2 What defines a plane?
- 3 How do you identify a plane in geometry?
- 4 What is plane geometry in technical drawing?
- 5 What is another word for plane in geometry?
- 6 What is a plane in 3d geometry?
- 7 What does plane mean in science?
- 8 Why is it called a plane?
- 9 What is the plane of a shape?
- 10 How do you write planes in geometry?
- 11 What is plane geometry and solid geometry?
- 12 Is plane a geometric figure?
- 13 What is the plane of a triangle?

## How do you define a plane in math?

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.

## What defines a plane?

1: airplane. 2: a surface in which if any two points are chosen a straight line joining them lies completely in that surface. 3: a level of thought, existence, or development The two stories are not on the same plane. 4: a level or flat surface a horizontal plane.

## How do you identify a plane in geometry?

Determining a plane is the fancy, mathematical way of saying “showing you where a plane is.” Your three non-collinear fingertips determine the plane of the book.

- A line and a point not on the line determine a plane.
- Two intersecting lines determine a plane.
- Two parallel lines determine a plane.

## What is plane geometry in technical drawing?

Plane Geometry is about flat shapes like lines, circles and triangles shapes that can be drawn on a piece of paper.

## What is another word for plane in geometry?

Some common synonyms of plane are even, flat, level, and smooth.

## What is a plane in 3d geometry?

A plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analog of a point (zero dimensions), a line (one dimension), and three-dimensional space. A plane in three-dimensional space has the equation.

## What does plane mean in science?

1. (Science: geometry) 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.

## Why is it called a plane?

The origin of plane is from the root “pele-” (flat, to spread) from which the Latin “planum”: 1866, originally in reference to surfaces such as shell casings of beetle wings, from French aéroplane (1855), from Greek-derived aero- “air” (see air (n.

## What is the plane of a shape?

A shape can be defined as the boundary or outline of an object. A plane shape is a two-dimensional closed figure that has no thickness. A plane in geometry is a flat surface that extends into infinity in all directions. It has infinite width and length, zero thickness, and zero curvature.

## How do you write planes in geometry?

A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P.

## What is plane geometry and solid geometry?

Plane geometry is the geometry of planar figures (two dimensions). Examples are: angles, circles, triangles, and parallelograms. Solid geometry is the geometry of three-dimensional figures. Examples are: cubes, cylinders, and spheres.

## Is plane a geometric figure?

A plane figure is a geometric figure that has no thickness. It lies entirely in one plane.

## What is the plane of a triangle?

A plane is a flat or level surface in two dimensions. Figures such as circles or squares have all of their parts lying on a plane and thus, are examples of plane figures. A triangle is a closed plane figure bounded by three line segments.