Difference between revisions of "PerpendicularLine Command"
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|geometry}} |
| − | {{command|geometry}} | + | ;PerpendicularLine( <Point>, <Line> ) |
| − | ; PerpendicularLine | + | :Creates a line through the point perpendicular to the given line. |
| − | ; PerpendicularLine | + | :{{example|1=<div>Let <code><nowiki>c: -3x + 4y = -6</nowiki></code> be a line and <code><nowiki>A = (-2, -3)</nowiki></code> a point. <code><nowiki>PerpendicularLine(A, c)</nowiki></code> yields the line ''d'': -4''x'' - 3''y'' = 17.</div>}} |
| − | ; PerpendicularLine | + | :{{note| 1=For 3D objects a third argument is added to this command to specify the behavior: if 2D view is active, plane <i>z=0</i> is used as third argument, if 3D view is active, <i>space</i> is used instead. See PerpendicularLine( <Point>, <Line>, <Context> ) further below for details.}} |
| + | ;PerpendicularLine( <Point>, <Segment> ) | ||
| + | :Creates a line through the point perpendicular to the given segment. | ||
| + | :{{example|1=<div>Let ''c'' be the segment between the two points ''A'' = (-3, 3) and ''B'' = (0, 1). <code><nowiki>PerpendicularLine(A, c)</nowiki></code> yields the line ''d: -3x + 2y = 15''.</div>}} | ||
| + | ;PerpendicularLine( <Point>, <Vector> ) | ||
| + | :Creates a line through the point perpendicular to the given vector. | ||
| + | :{{example|1=<div>Let <code><nowiki>u = Vector((5, 3), (1, 1))</nowiki></code> and <code><nowiki>A = (-2, 0)</nowiki></code> a point. <code><nowiki>PerpendicularLine(A, u)</nowiki></code> yields the line ''c: 2x + y = -4''.</div>}} | ||
| − | {{Note|See also [[ | + | |
| − | + | ;PerpendicularLine( <Point>, <Plane> ) | |
| − | + | :Creates a perpendicular line to the plane through the given point. | |
| − | }} | + | ;PerpendicularLine( <Line> , <Line> ) |
| + | :Creates a perpendicular line to the given lines through the intersection point of the two lines. | ||
| + | ;PerpendicularLine( <Point>, <Direction>, <Direction> ) | ||
| + | :Creates a perpendicular line to the given directions (that can be lines or vectors) through the given point. | ||
| + | ;PerpendicularLine( <Point>, <Line>, <Context> ) | ||
| + | :Creates a perpendicular line to the line through the point and depending on the context. | ||
| + | :*PerpendicularLine( <Point>, <Line>, <Plane> ) creates a perpendicular line to the given line through the point and parallel to the plane. | ||
| + | :*PerpendicularLine( <Point>, <Line>, space ) creates a perpendicular line to the given line through the point. The two lines have an intersection point. This command yields undefined if the point is on the line in 3D. | ||
| + | |||
| + | {{Note|See also [[File:Mode linebisector.svg|link=|22px]] [[Perpendicular Line Tool|Perpendicular Line]] tool.}} | ||
Latest revision as of 10:32, 11 October 2017
- PerpendicularLine( <Point>, <Line> )
- Creates a line through the point perpendicular to the given line.
- Example:Let
c: -3x + 4y = -6be a line andA = (-2, -3)a point.PerpendicularLine(A, c)yields the line d: -4x - 3y = 17.
- Note: For 3D objects a third argument is added to this command to specify the behavior: if 2D view is active, plane z=0 is used as third argument, if 3D view is active, space is used instead. See PerpendicularLine( <Point>, <Line>, <Context> ) further below for details.
- PerpendicularLine( <Point>, <Segment> )
- Creates a line through the point perpendicular to the given segment.
- Example:Let c be the segment between the two points A = (-3, 3) and B = (0, 1).
PerpendicularLine(A, c)yields the line d: -3x + 2y = 15.
- PerpendicularLine( <Point>, <Vector> )
- Creates a line through the point perpendicular to the given vector.
- Example:Let
u = Vector((5, 3), (1, 1))andA = (-2, 0)a point.PerpendicularLine(A, u)yields the line c: 2x + y = -4.
- PerpendicularLine( <Point>, <Plane> )
- Creates a perpendicular line to the plane through the given point.
- PerpendicularLine( <Line> , <Line> )
- Creates a perpendicular line to the given lines through the intersection point of the two lines.
- PerpendicularLine( <Point>, <Direction>, <Direction> )
- Creates a perpendicular line to the given directions (that can be lines or vectors) through the given point.
- PerpendicularLine( <Point>, <Line>, <Context> )
- Creates a perpendicular line to the line through the point and depending on the context.
- PerpendicularLine( <Point>, <Line>, <Plane> ) creates a perpendicular line to the given line through the point and parallel to the plane.
- PerpendicularLine( <Point>, <Line>, space ) creates a perpendicular line to the given line through the point. The two lines have an intersection point. This command yields undefined if the point is on the line in 3D.
Note: See also 
Perpendicular Line tool.
Perpendicular Line tool.
