Difference between revisions of "AreConcurrent Command"
From GeoGebra Manual
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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
This page is about a feature that is supported only in GeoGebra 5.0. |
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). Note: See also AreCollinear, AreConcyclic, AreEqual, ArePerpendicular, AreParallel commands.