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Johnson's Theorem: Intersecting Circles, Congruence, Four Circles, HTML5 animation. Level: High School, College, Mathematics Education

If three equal circles with centers A, B, and C pass through a common point P, then their other three intersections J, O, and H lie on another circle with center N, of the same size. Click the next button to start the illustration.


  

Home | SearchGeometry | Circles | Intersecting Circles | Congruence | Classical Theorems | iPad Apps | Nexus 7 Apps | Email | Solution / comment | By Antonio Gutierrez