Concept information
Preferred term
Johnson circles
Definition
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In geometry, a set of Johnson circles comprises three circles of equal radius r sharing one common point of intersection H. In such a configuration the circles usually have a total of four intersections (points where at least two of them meet): the common point H that they all share, and for each of the three pairs of circles one more intersection point (referred here as their 2-wise intersection). If any two of the circles happen to osculate, they only have H as a common point, and it will then be considered that H be their 2-wise intersection as well; if they should coincide we declare their 2-wise intersection be the point diametrically opposite H. The three 2-wise intersection points define the reference triangle of the figure. The concept is named after Roger Arthur Johnson.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Johnson_circles)
Broader concept
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-Z4CRM8R3-B
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