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AreaMethod

Guides

  • Area Method Proofs

Symbols

  • Collinear
  • Concyclic
  • CongruentAngles
  • ECS1
  • ECS2
  • ECS3
  • ECS4
  • ECS5
  • EqualPoints
  • Equidistant
  • FreePoint
  • IsCentroid
  • IsCircumcenter
  • IsIntersection
  • IsMidpoint
  • IsOrthocenter
  • OnLine
  • OnParallel
  • OnPerpendicular
  • ParallelLines
  • PerpendicularFoot
  • PerpendicularLines
  • PythagoreanDifference
  • SignedArea
  • SignedDistance
  • VerifyConjecture
WolframAlphaMath`AreaMethod`
EqualPoints
​
EqualPoints
[a,b]
means that points
a
and
b
coincide.
​
Details and Options

Examples  
(2)
Basic Examples  
(1)
Prove that the altitudes of a triangle are concurrent:
In[1]:=
VerifyConjecture

EqualPoints
[x,y],
IsIntersection
y,a,ha,c,hc,
IsIntersection
x,a,ha,b,hb,
ECS3
hc,c,a,b,
ECS3
hb,b,c,a,
ECS3
ha,a,b,c,
FreePoint
[a,b,c],"UseAreaCoordinates"True
Out[1]=
True
Properties & Relations  
(1)

SeeAlso
PythagoreanDifference
 
▪
VerifyConjecture
RelatedGuides
▪
Area Method Proofs
RelatedLinks
▪
The Area Method in the Wolfram Language
- ArXiv article
""

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