Difference between revisions of "AreEqual Command"

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(Change for the next release: AreEqual[Segment[(1, 2), (3, 4)], Segment[(3, 4), (1, 6)]] is different from Segment[(1, 2), (3, 4)] == Segment[(3, 4), (1, 6)] as the latter just compares the lengths}})
(IsTangent added)
 
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
 
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;AreEqual( <Object>, <Object> )
;AreEqual[ <Object>, <Object> ]
 
 
:Decides if the objects are equal.
 
:Decides if the objects are equal.
 
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>AreEqual[Circle[(0, 0),1],x^2+y^2=1]</nowiki></code> yields ''true'' since the two circles have the same center and radius. </div>}}
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:{{example| 1=<code><nowiki>AreEqual(Circle((0, 0),1),x^2+y^2=1)</nowiki></code> yields ''true'' since the two circles have the same center and radius. }}
{{Note| See also [[AreCollinear Command|AreCollinear]], [[AreConcyclic Command|AreConcyclic]], [[AreConcurrent Command|AreConcurrent]], [[ArePerpendicular Command|ArePerpendicular]], [[AreParallel Command|AreParallel]] commands.}}
 
  
{{Note| <code><nowiki>AreEqual[Segment[(1, 2), (3, 4)], Segment[(3, 4), (1, 6)]]</nowiki></code> is different from <code><nowiki>Segment[(1, 2), (3, 4)] == Segment[(3, 4), (1, 6)]</nowiki></code> as the latter compares just the lengths}}
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{{Notes|1=
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* <code><nowiki>AreEqual(Segment((1, 2), (3, 4)), Segment((3, 4), (1, 6)))</nowiki></code> is different from <code><nowiki>Segment((1, 2), (3, 4)) == Segment((3, 4), (1, 6))</nowiki></code> as the latter compares just the lengths
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*See also [[AreCollinear Command|AreCollinear]], [[AreConcyclic Command|AreConcyclic]], [[AreConcurrent Command|AreConcurrent]], [[AreCongruent Command|AreCongruent]], [[ArePerpendicular Command|ArePerpendicular]], [[AreParallel Command|AreParallel]], [[IsTangent Command|IsTangent]] commands.}}

Latest revision as of 21:42, 16 May 2018


AreEqual( <Object>, <Object> )
Decides if the objects are equal.

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

Example: AreEqual(Circle((0, 0),1),x^2+y^2=1) yields true since the two circles have the same center and radius.


Notes:
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