Difference between revisions of "Distance Command"

Revision as of 18:19, 25 November 2013

Distance[ <Point>, <Object> ]

Yields the shortest distance between a point and an object.

{{example|1=

Distance[(2, 1), x^2 + (y - 1)^2 = 1] yields 1

Note: The command works for points, segments, lines, conics, functions and implicit curves. For functions it uses a numerical algorithm which works better for polynomials.

Distance[ <Line>, <Line> ]

Yields the distance between two lines.

Example:

Distance[y = x + 3, y = x + 1] yields 1.41
Distance[y = 3x + 1, y = x + 1] yields 0

Note: The distance between intersecting lines is 0. Thus, this command is only interesting for parallel lines.

Note: See also

Distance or Length tool .

Following text is about a feature that is supported only in GeoGebra 5.0.

Note: From GeoGebra 5, this command will work with 3D objects as well

@@ Line 1: / Line 1: @@
 <noinclude>{{Manual Page|version=4.2}}</noinclude>
 {{command|geometry}}
-;Distance[ <Point>, <Object> ]: Yields the shortest distance between a point and a geometric object, or the vertical distance to a function.
+;Distance[ <Point>, <Object> ]: Yields the shortest distance between a point and an object.
 :{{example|1=<div>
 :*<code><nowiki>Distance[(2, 1), x^2 + (y - 1)^2 = 1]</nowiki></code> yields ''1''
-:*Let ''f'' be a function and ''A'' be a point. <code><nowiki>Distance[A, f]</nowiki></code> yields the '''vertical''' distance between the point and the function.</div>}}
+: {{Note| 1=The command works for points, segments, lines, conics, functions and implicit curves. For functions it uses a numerical algorithm which works better for polynomials. }}
-: {{Note| 1=The command works for points, segments, lines, conics and implicit curves.}}
 ;Distance[ <Line>, <Line> ]: Yields the distance between two lines.

Difference between revisions of "Distance Command"

Revision as of 18:19, 25 November 2013

Distance

Command Categories (All commands)