Difference between revisions of "PerpendicularLine Command"
From GeoGebra Manual
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;PerpendicularLine[ <Point>, <Line>, <Context> ] | ;PerpendicularLine[ <Point>, <Line>, <Context> ] | ||
:Creates a perpendicular line to the line through the point. | :Creates a perpendicular line to the line through the point. | ||
− | {{ | + | {{examples| 1=<div> |
− | + | *<code><nowiki>PerpendicularLine[ <Point>, <Line>, <Plane> ]</nowiki></code> creates a perpendicular line to the given line through the point and parallel to the plane. | |
− | :*<code><nowiki>PerpendicularLine[ <Point>, <Line>, Space ]</nowiki></code> creates a perpendicular line to the given line through the point | + | :{{note| 1=This command yields undefined if the point is on the line in 3D.}} |
− | </div> | + | *<code><nowiki>PerpendicularLine[ <Point>, <Line>, Space ]</nowiki></code> creates a perpendicular line to the given line through the point. The two lines have an intersection point.</div> |
}} | }} |
Revision as of 13:02, 30 July 2014
- 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.
Note: See also Perpendicular Line tool.
Following text is about a feature that is supported only in GeoGebra 5.0.
Note: From GeoGebra 5, this command will work in 3D as well |
- 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>, <Line>, <Line> ]
- Creates a perpendicular line to the given lines through the given point.
- PerpendicularLine[ <Point>, <Vector>, <Vector> ]
- Creates a perpendicular line to the given vectors through the given point.
- PerpendicularLine[ <Point>, <Line>, <Context> ]
- Creates a perpendicular line to the line through the point.
Examples:
PerpendicularLine[ <Point>, <Line>, <Plane> ]
creates a perpendicular line to the given line through the point and parallel to the plane.
- Note: This command yields undefined if the point is on the line in 3D.
PerpendicularLine[ <Point>, <Line>, Space ]
creates a perpendicular line to the given line through the point. The two lines have an intersection point.