| David Little | ||||||
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Mathematics Department Penn State University Eberly College of Science University Park, PA 16802 |
Office: 403 McAllister Phone: (814) 865-3329 Fax: (814) 865-3735 e-mail:dlittle@psu.edu |
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Johnson's Theorem
Draw three circles of the same radius that share a common point. To do so, select three points on the circle below and use each point as the center of a circle that passes through the blue point. Locate the three other points of intersection of the three circles you drew. Johnson's Theorem states that these points of intersection lie on a circle of the same radius as the original circles.
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