Difference between revisions of "PerpendicularLine Command"

Revision as of 11:41, 14 November 2013

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

@@ Line 3: / Line 3: @@
 ;PerpendicularLine[ <Point>, <Line> ]
 :Creates a line through the point perpendicular to the given line.
-:{{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>}}
+:{{example|1=<div>Let ''c'': -3''x'' + 4''y'' = -6 be a line and ''A'' = (-2, -3) a point. <code><nowiki>PerpendicularLine[ A, c ]</nowiki></code> yields the line ''d'': -4''x'' - 3''y'' = 17.</div>}}
 ;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>}}
+:{{example|1=<div>Let ''c'' 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>}}
 ;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>}}
+:{{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>}}

Difference between revisions of "PerpendicularLine Command"

Revision as of 11:41, 14 November 2013

PerpendicularLine

Command Categories (All commands)