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Johnson's Theorem
Let three circles of equal diameter intersect at a point H and intersect pairwise at points A, B, and C. Then the circumcircle of the triangle ABC has the same diameter as the other circles.
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Contributed by:
Jay Warendorff
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Circumcircle
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MathWorld
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Johnson Circles
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Wolfram
MathWorld
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Johnson's Theorem
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Johnson's Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/JohnsonsTheorem/
Contributed by:
Jay Warendorff
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Related Topics
Plane Geometry
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-C.A.3
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