Angle Command
From GeoGebra Manual
Revision as of 07:42, 20 July 2013 by Noel Lambert (talk | contribs) (if we want to give an example, it is more intelligent if it is serious)
- Angle[ <Object> ]
- Conic: Returns the angle of twist of a conic section’s major axis (see command Axes).
- Example:
Angle[x²/4+y²/9=1]
yields 90°.
- Vector: Returns the angle between the x‐axis and given vector.
- Example:
Angle[Vector[(1, 1)]]
yields 45°.
- Point: Returns the angle between the x‐axis and the position vector of the given point.
- Example:
Angle[(1, 1)]
yields 45°.
- Number: Converts the number into an angle (result between 0 and 2π).
- Example:
Angle[20]
yields 65.92°.
- Polygon: Creates all angles of a polygon in mathematically positive orientation (i.e., counter clockwise).
- Example:
Angle[Polygon[(4, 1), (2, 4), (1, 1)] ]
yields 56.31°, 52.13° and 71.57°.
- Note: If the polygon was created in counter clockwise orientation, you get the interior angles. If the polygon was created in clockwise orientation, you get the exterior angles.
- Angle[ <Vector>, <Vector> ]
- Returns the angle between two vectors (between 0° and 360°).
- Example:
Angle[Vector[(1, 1)], Vector[(2, 5)]]
yields 23.2°.
- Angle[ <Line>, <Line> ]
- Returns the angle between the direction vectors of two lines (between 0° and 360°).
- Example:
Angle[y = x + 2, y = 2x + 3]
yields 18.43°.
- Angle[ <Point>, <Apex>, <Point> ]
- Returns the angle which is defined by the points (between 0° and 360°).
- Example:
Angle[(1, 1), (1, 4), (4, 2)]
yields 56.31°.
- Angle[ <Point>, <Apex>, <Angle> ]
- Returns the angle of size α drawn from point with apex.
- Example:
Angle[(0, 0), (3, 3), 30°]
yields (1.9, -1.1).
- Note: The point Rotate[ <Point>, <Angle>, <Apex> ] is created as well.
Note: See also Angle and Angle with Given Size tools.
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 |