Difference between revisions of "AreConcurrent Command"

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m (Parallel case explained)
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{{warning|This GeoGebra command is heavily under construction. Expect to encounter various problems when trying it out. The syntax or the output of this command may be subject to change.}}
 
{{warning|This GeoGebra command is heavily under construction. Expect to encounter various problems when trying it out. The syntax or the output of this command may be subject to change.}}
 
;AreConcurrent[  <Line>, <Line>, <Line> ]
 
;AreConcurrent[  <Line>, <Line>, <Line> ]
:Decides if the lines are concurrent.
+
:Decides if the lines are concurrent. If the lines are parallel, they considered to have a common point in infinity, thus this command returns ''true'' in this case.
 
Normally this command computes the result numerically. This behavior can be changed by using the [[Prove Command|Prove]] command.
 
Normally this command computes the result numerically. This behavior can be changed by using the [[Prove Command|Prove]] command.
 
{{example| 1=<div><code><nowiki>AreConcurrent[Line[(1, 2), (3, 4)], Line[(1, 2), (3, 5)], Line[(1, 2), (3, 6)]]</nowiki></code> yields ''true'' since all three lines contain the point (1,2).</div>}}
 
{{example| 1=<div><code><nowiki>AreConcurrent[Line[(1, 2), (3, 4)], Line[(1, 2), (3, 5)], Line[(1, 2), (3, 6)]]</nowiki></code> yields ''true'' since all three lines contain the point (1,2).</div>}}
 
{{Note| See also [[AreCollinear Command|AreCollinear]], [[AreConcyclic Command|AreConcyclic]], [[AreEqual Command|AreEqual]], [[ArePerpendicular Command|ArePerpendicular]], [[AreParallel Command|AreParallel]] commands.}}
 
{{Note| See also [[AreCollinear Command|AreCollinear]], [[AreConcyclic Command|AreConcyclic]], [[AreEqual Command|AreEqual]], [[ArePerpendicular Command|ArePerpendicular]], [[AreParallel Command|AreParallel]] commands.}}

Revision as of 17:29, 3 November 2012


Warning Warning: This GeoGebra command is heavily under construction. Expect to encounter various problems when trying it out. The syntax or the output of this command may be subject to change.
AreConcurrent[ <Line>, <Line>, <Line> ]
Decides if the lines are concurrent. If the lines are parallel, they considered to have a common point in infinity, thus this command returns true in this case.

Normally this command computes the result numerically. This behavior can be changed by using the Prove command.

Example:
AreConcurrent[Line[(1, 2), (3, 4)], Line[(1, 2), (3, 5)], Line[(1, 2), (3, 6)]] yields true since all three lines contain the point (1,2).
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