Difference between revisions of "PerpendicularLine Command"
From GeoGebra Manual
(PerpendicularLine[ <Point>, <Direction>, <Direction> ] instead of the 2 old syntaxes) |
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:{{example|1=<div>Let ''u'' be a vector between two points: ''u'' = ''Vector''[ (5, 3), (1, 1) ] and A = (-2, 0) a point. <code><nowiki>PerpendicularLine[ A, u ]</nowiki></code> yields the line ''c: 2x + y = -4''.</div>}} | :{{example|1=<div>Let ''u'' be a vector between two points: ''u'' = ''Vector''[ (5, 3), (1, 1) ] and A = (-2, 0) a point. <code><nowiki>PerpendicularLine[ A, u ]</nowiki></code> yields the line ''c: 2x + y = -4''.</div>}} | ||
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;PerpendicularLine[ <Point>, <Line> ] | ;PerpendicularLine[ <Point>, <Line> ] | ||
:Creates a line through the point perpendicular to the given line. | :Creates a line through the point perpendicular to the given line. | ||
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:Creates a perpendicular line to the given directions (that can be lines or vectors) through the given point. | :Creates a perpendicular line to the given directions (that can be lines or vectors) through the given point. | ||
;PerpendicularLine[ <Point>, <Line>, <Context> ] | ;PerpendicularLine[ <Point>, <Line>, <Context> ] | ||
| − | :Creates a perpendicular line to the line through the point and depending on the 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. |
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| − | :* | + | {{Note|See also [[Image:Tool_Perpendicular_Line.gif]] [[Perpendicular Line Tool|Perpendicular Line]] tool.}} |
| − | }} | ||
Revision as of 13:31, 29 July 2015
- PerpendicularLine[ <Point>, <Line> ]
- Creates a line through the point perpendicular to the given line.
- Example:Let c: -3x + 4y = -6 be a line and A = (-2, -3) a point.
PerpendicularLine[ A, c ]yields the line d: -4x - 3y = 17.
- 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 be a vector between two points: u = Vector[ (5, 3), (1, 1) ] and A = (-2, 0) a point.
PerpendicularLine[ A, u ]yields the line c: 2x + y = -4.
- PerpendicularLine[ <Point>, <Line> ]
- Creates a line through the point perpendicular to the given line.
- Note: This command yields undefined if the point is on the line in 3D.
- 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.
