Difference between revisions of "Circle Command"

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({{Note|1=If you use eg <code>x = 0</code> or <code>y = 0</code> for the ''Direction'' it will be interpreted as a plane, not a line }})
 
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;Circle( <Point>, <Radius Number> ):Yields a circle with given center and radius.
;Circle[ <Point M>, <Number r> ]:Yields a circle with center ''M'' and radius ''r''.
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;Circle( <Point>, <Segment> ):Yields a circle with given center and radius equal to the length of the given segment.
;Circle[ <Point M>, <Segment> ]:Yields a circle with center ''M'' and radius equal to the length of the given segment.
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;Circle( <Point>, <Point> ):Yields a circle with given center through a given point.
;Circle[ <Point M>, <Point A> ]:Yields a circle with center ''M'' through point ''A''.
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;Circle( <Point>, <Point>, <Point> ):Yields a circle through the three given points (if they do not lie on the same line).
;Circle[ <Point A>, <Point B>, <Point C> ]:Yields a circle through the given points ''A'', ''B'' and ''C''.
 
  
:{{Note|1=See also [[Compass Tool|Compass]], [[Circle with Center through Point Tool|Circle with Center through Point]], [[Circle with Center and Radius Tool|Circle with Center and Radius]], and [[Circle through Three Points Tool|Circle through Three Points]] tools.}}
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{{Note|1=See also [[File:Mode compasses.svg|link=|20px]] [[Compass Tool|Compass]], [[File:Mode circle2.svg|link=|20px]] [[Circle with Center through Point Tool|Circle with Center through Point]], [[File:Mode circlepointradius.svg|link=|20px]] [[Circle with Center and Radius Tool|Circle with Center and Radius]], and [[File:Mode circle3.svg|link=|20px]] [[Circle through 3 Points Tool|Circle through 3 Points]] tools.}}
{{betamanual|version=5.0|{{Note|1=From GeoGebra 5, this command will work in 3D with 3D Points as well}}
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<br>
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;Circle( <Line>, <Point> )
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:Creates a circle with line as axis and through the point.
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;Circle( <Point>, <Radius>, <Direction> )
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:Creates a circle with center, radius, and axis parallel to direction, which can be a line, vector or plane.
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:{{example| 1=<div><code><nowiki>Circle( <Point>, <Radius>, <Plane> )</nowiki></code> yields a circle parallel to the plane and with perpendicular vector of the plane as axis.</div>}}
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;Circle( <Point>, <Point>, <Direction> )
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:Creates a circle with center, through a point, and axis parallel to direction.
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{{Note|1=If you use eg <code>x = 0</code> or <code>y = 0</code> for the ''Direction'' it will be interpreted as a plane, not a line }}

Latest revision as of 14:18, 10 July 2018


Circle( <Point>, <Radius Number> )
Yields a circle with given center and radius.
Circle( <Point>, <Segment> )
Yields a circle with given center and radius equal to the length of the given segment.
Circle( <Point>, <Point> )
Yields a circle with given center through a given point.
Circle( <Point>, <Point>, <Point> )
Yields a circle through the three given points (if they do not lie on the same line).


Circle( <Line>, <Point> )
Creates a circle with line as axis and through the point.
Circle( <Point>, <Radius>, <Direction> )
Creates a circle with center, radius, and axis parallel to direction, which can be a line, vector or plane.
Example:
Circle( <Point>, <Radius>, <Plane> ) yields a circle parallel to the plane and with perpendicular vector of the plane as axis.
Circle( <Point>, <Point>, <Direction> )
Creates a circle with center, through a point, and axis parallel to direction.
Note: If you use eg x = 0 or y = 0 for the Direction it will be interpreted as a plane, not a line

Comments

Tips[edit]

Use circles to fix the distance between two objects[edit]

Circles are a great way to make the distance between two objects constant: If there are two points A and B on two lines g (point A) and h (point B) where A can be moved and B should have the constant distance r to A you can define B as the intersection between the line h and the circle around A with the radius r. As a circle intersects a line at two points (in case it's not tangetial or passing by) you have to hide & ignore the second intersection.

An illustration of the described technique to fix the distance between two points A and B1
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