Difference between revisions of "AreConcurrent Command"

From GeoGebra Manual
Jump to: navigation, search
(add AreCongruent)
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)")
Line 1: Line 1:
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
;AreConcurrent[ <Line>, <Line>, <Line> ]
+
;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.
 
: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]], [[AreCongruent Command|AreCongruent]], [[AreEqual Command|AreEqual]], [[ArePerpendicular Command|ArePerpendicular]], [[AreParallel Command|AreParallel]] commands.}}
 
{{Note| See also [[AreCollinear Command|AreCollinear]], [[AreConcyclic Command|AreConcyclic]], [[AreCongruent Command|AreCongruent]], [[AreEqual Command|AreEqual]], [[ArePerpendicular Command|ArePerpendicular]], [[AreParallel Command|AreParallel]] commands.}}

Revision as of 17:16, 7 October 2017


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).
© 2024 International GeoGebra Institute