Difference between revisions of "Distance Command"
From GeoGebra Manual
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Revision as of 11:37, 4 August 2015
- Distance[ <Point>, <Object> ]
- Yields the shortest distance between a point and an object.
- Example:
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 1.41Distance[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 .
- Distance[ <Point>, <Point> ]
- Yields the distance between the two points.
- Example:
Distance[(2, 1, 2), (1, 3, 0)]yields 3
- Distance[ <Line>, <Line> ]
- Yields the distance between two lines.
- Example:Let a: X = (-4, 0, 0) + λ*(4, 3, 0) and b: X = (0, 0, 0) + λ*(0.8, 0.6, 0).
Distance[a, b]yields 2.4
