Difference between revisions of "AreConcyclic Command"

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(add AreCongruent)
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)")
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
;AreConcyclic[ <Point>, <Point>, <Point>, <Point> ]
+
;AreConcyclic( <Point>, <Point>, <Point>, <Point> )
 
:Decides if the points are concyclic.
 
:Decides if the points are concyclic.
 
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>AreConcyclic[(1, 2), (3, 4), (1, 4), (3, 2)]</nowiki></code> yields ''true'' since the points are lying on the same circle.</div>}}
 
:{{example| 1=<div><code><nowiki>AreConcyclic[(1, 2), (3, 4), (1, 4), (3, 2)]</nowiki></code> yields ''true'' since the points are lying on the same circle.</div>}}
 
{{Note| See also [[AreCollinear Command|AreCollinear]], [[AreConcurrent Command|AreConcurrent]], [[AreCongruent Command|AreCongruent]], [[AreEqual Command|AreEqual]], [[ArePerpendicular Command|ArePerpendicular]], [[AreParallel Command|AreParallel]] commands.}}
 
{{Note| See also [[AreCollinear Command|AreCollinear]], [[AreConcurrent Command|AreConcurrent]], [[AreCongruent Command|AreCongruent]], [[AreEqual Command|AreEqual]], [[ArePerpendicular Command|ArePerpendicular]], [[AreParallel Command|AreParallel]] commands.}}

Revision as of 17:16, 7 October 2017


AreConcyclic( <Point>, <Point>, <Point>, <Point> )
Decides if the points are concyclic.

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

Example:
AreConcyclic[(1, 2), (3, 4), (1, 4), (3, 2)] yields true since the points are lying on the same circle.
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