Difference between revisions of "PerpendicularLine Command"
From GeoGebra Manual
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| − | ; PerpendicularLine[Point, Line]: Creates a line through the point perpendicular to the given line. | + | ;PerpendicularLine[ <Point>, <Line> ] |
| − | ; PerpendicularLine[Point, Segment]: Creates a line through the point perpendicular to the given segment. | + | :Creates a line through the point perpendicular to the given line. |
| − | ; PerpendicularLine[Point, Vector]: Creates a line through the point perpendicular to the given vector. | + | :{{example|1=<div>Let <code><nowiki>c: -3x + 4y = -6</nowiki></code> be a line with the points <code><nowiki>A = (-2, -3)</nowiki></code> and <code><nowiki>B = (2, 0)</nowiki></code>. <code><nowiki>PerpendicularLine[ A, c ]</nowiki></code> yields the line ''d: -4x - 3y = 17''.</div>}} |
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| + | ;PerpendicularLine[ <Point>, <Segment> ] | ||
| + | :Creates a line through the point perpendicular to the given segment. | ||
| + | :{{example|1=<div>Let <code><nowiki>c = 3.61</nowiki></code> be the segment between the two points <code><nowiki>A = (-3, 3)</nowiki></code> and <code><nowiki>B = (0, 1)</nowiki></code>. <code><nowiki>PerpendicularLine[ A, c ]</nowiki></code> yields the line ''d: -3x + 2y = 15''.</div>}} | ||
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| + | ;PerpendicularLine[ <Point>, <Vector> ] | ||
| + | :Creates a line through the point perpendicular to the given vector. | ||
| + | :{{example|1=<div>Let <code><nowiki>Vector[ (5, 3), (1, 1) ]</nowiki></code> be the vector ''u'' 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>}} | ||
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{{Note|See also [[Image:Tool_Perpendicular_Line.gif]] [[Perpendicular Line Tool|Perpendicular Line]] tool.}} | {{Note|See also [[Image:Tool_Perpendicular_Line.gif]] [[Perpendicular Line Tool|Perpendicular Line]] tool.}} | ||
Revision as of 12:43, 15 July 2013
- PerpendicularLine[ <Point>, <Line> ]
- Creates a line through the point perpendicular to the given line.
- Example:Let
c: -3x + 4y = -6be a line with the pointsA = (-2, -3)andB = (2, 0).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 = 3.61be the segment between the two pointsA = (-3, 3)andB = (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
Vector[ (5, 3), (1, 1) ]be the vector u andA = (-2, 0)a point.PerpendicularLine[ A, u ]yields the line c: 2x + y = -4.
Note: See also 
Perpendicular Line tool.
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 |
