# Definition:Linear Measure

## Contents

## Definition

**Linear measure** is the means of measurement of physical displacement.

### Dimension

**Linear measure** is one of the fundamental dimensions of physics.

In dimensional analysis it is assigned the symbol $\mathsf L$.

### Units

The units of measurement of **linear measure** are as follows:

- The CGS unit of
**linear measure**is the centimetre $\mathrm {cm}$.

Thus:

- $1 \ \mathrm m = 10^2 \ \mathrm {cm} = 100 \ \mathrm {cm}$

- $1 \ \mathrm {ft} = 30.48 \ \mathrm {cm} = 0.3048 \ \mathrm m$

### Length

**Length** is linear measure taken in a particular direction.

Usually, in multi-dimensional figures, the dimension in which the linear measure is greatest is referred to as **length**.

It is the most widely used term for linear measure, as it is the standard term used when only one dimension is under consideration.

**Length** is the fundamental notion of Euclidean geometry, never defined but regarded as an intuitive concept at the basis of every geometrical theorem.

### Breadth

**Breadth** is linear measure in a dimension perpendicular to length.

In the context of a two-dimensional geometric figure, the **breadth** is in the plane of that figure.

In a three-dimensional figure, the choice of which direction is referred to as **breadth** is often arbitrary.

### Depth

**Depth** is linear measure in a dimension perpendicular to both length and breadth.

The choice of **depth** is often arbitrary, although in two-dimensional diagrams of three-dimensional figures, **depth** is usually imagined as being the dimension perpendicular to the plane the figure is drawn in.

### Height

**Height**, like depth, is used as a term for linear measure in a dimension perpendicular to both length and breadth.

However, whereas depth has connotations of **down**, **height** is used for distances **up** from the plane.

### Thickness

**Thickness**, like breadth, is used as a term for linear measure in a dimension perpendicular to both length and depth.

However, whereas breadth has connotations of **across**, **thickness** is used for distances **through** the solid figure.

### Distance

The **distance** between two points $A$ and $B$ in space is defined as the length of a straight line that would be drawn from $A$ to $B$.

## Also see

- Definition:Distance in the context of analysis