Distance Command
From GeoGebra Manual
- 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.
- Example: Let f be a function and A be a point.
Distance[A, f]
yields the distance between A and (x(A), f(x(A))).
- 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[ <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