Difference between revisions of "Distance Command"
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<noinclude>{{Manual Page|version=4.2}}</noinclude> | <noinclude>{{Manual Page|version=4.2}}</noinclude> | ||
{{command|geometry}} | {{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 a geometric object, or the vertical distance to a function. |
| − | : {{ | + | :{{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 and implicit curves.}} | ||
| − | ; Distance[ <Line>, <Line> ]: Yields the distance between two parallel lines. | + | ;Distance[ <Line>, <Line> ]: Yields the distance between two parallel lines. |
| − | : {{Note| 1=The distance between intersecting lines is 0. Thus, this command is only interesting for parallel lines.}} | + | :{{example|1=<div> |
| + | :*<code><nowiki>Distance[y = x + 3, y = x + 1]</nowiki></code> yields ''1.41'' | ||
| + | :*<code><nowiki>Distance[y = 3x + 1, y = x + 1]</nowiki></code> yields ''0''</div>}} | ||
| + | : {{Note| 1=The distance between intersecting lines is ''0''. Thus, this command is only interesting for parallel lines.}} | ||
{{Note| 1=See also [[Image:Tool Distance.gif]] [[Distance or Length Tool|Distance or Length]] tool .}} | {{Note| 1=See also [[Image:Tool Distance.gif]] [[Distance or Length Tool|Distance or Length]] tool .}} | ||
{{betamanual|version=5.0| | {{betamanual|version=5.0| | ||
| − | {{Note| 1=From GeoGebra 5, this command will work with 3D objects as well}} | + | {{Note| 1=From GeoGebra 5, this command will work with 3D objects as well}}}} |
| − | }} | ||
Revision as of 09:37, 2 September 2013
- Distance[ <Point>, <Object> ]
- Yields the shortest distance between a point and a geometric object, or the vertical distance to a function.
- Example:
Distance[(2, 1), x^2 + (y - 1)^2 = 1]yields 1- Let f be a function and A be a point.
Distance[A, f]yields the vertical distance between the point and the function.
- Note: The command works for points, segments, lines, conics and implicit curves.
- Distance[ <Line>, <Line> ]
- Yields the distance between two parallel lines.
- Example:
Distance[y = x + 3, y = x + 1]yields 1.41Distance[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 .
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 |
