geometry
line
define a line
Calling Sequence
Parameters
Description
Examples
line(l, [A, B])
line(l, eqn, n)
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
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.
define two points and
define the line that passes through and
To assign names to the axes, assign the names to the environment variables _EnvHorizontalName and _EnvVerticalName.
Define a line from its algebraic representation.
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]
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