line - Maple Help
For the best experience, we recommend viewing online help using Google Chrome or Microsoft Edge.

Online Help

geometry

  

line

  

define a line

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

line(l, [A, B])

line(l, eqn, n)

Parameters

l

-

the name of the line

A, B

-

two points

eqn

-

the algebraic representation of a line, that is, a polynomial or equation

n

-

(optional) a list of two names representing the names of the horizontal-axis and vertical-axis

Description

• 

In the geometry package, a line means a ``straight line''. It is unlimited in extent, i.e., it may be extended in either direction indefinitely.

• 

A line l can be defined as follows:

– 

from two given points A and B

– 

from its algebraic representation eqn. I.e., eqn is a polynomial or an equation. If the third optional argument is not given, then:

– 

if names are assigned to the two environment variables _EnvHorizontalName and _EnvVerticalName, then these two names will be used as the names of the horizontal-axis and vertical-axis respectively.

– 

otherwise, Maple will prompt the user to input the names of the axes.

• 

To access the information relating to a line l, use the following function calls:

form(l)

returns the form of the geometric object (i.e., line2d if l is a line).

Equation(l)

returns the equation that represents the line l.

HorizontalName(l)

returns the name of the horizontal-axis; or FAIL if the axis is not assigned a name.

VerticalName(l)

returns the name of the vertical-axis; or FAIL if the axis is not assigned a name.

detail(l)

returns a detailed description of the line l.

• 

The command with(geometry,line) allows the use of the abbreviated form of this command.

Examples

define two points  and

define the line  that passes through  and

(1)

(2)

(3)

To assign names to the axes, assign the names to the environment variables _EnvHorizontalName and _EnvVerticalName.

(4)

(5)

(6)

(7)

Define a line from its algebraic representation.

(8)

(9)

See Also

geometry[AreConcurrent]

geometry[AreParallel]

geometry[ArePerpendicular]

geometry[AreTangent]

geometry[distance]

geometry[FindAngle]

geometry[HorizontalName]

geometry[intersection]

geometry[IsOnLine]

geometry[objects]

geometry[ParallelLine]

geometry[PerpenBisector]

geometry[PerpendicularLine]

geometry[Polar]

geometry[Pole]

geometry[projection]

geometry[randpoint]

geometry[slope]

geometry[transformation]

geometry[VerticalName]

 


Download Help Document