e/Johnson circles

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has glosseng: In geometry, a set of Johnson circles comprise 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 just touch tangentially 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.
lexicalizationeng: Johnson circles
instance of(noun) any circular or rotating mechanism; "the machine punched out metal circles"
circle, round
Meaning
Arabic
has glossara: في الهندسة الرياضية، يطلق اسم دوائر جونسون على ثلاث دوائر ذات نصف قطر متساوي r وتشترك بنقطة تقاطع مشتركة H. في هذه الحالة فإنه يوجد أربع نقاط تقاطع، نقطة مشتركة للجميع وثلاث نقاط تشترك فيها كل زوج من الدوائر بشكل عام.
lexicalizationara: دوائر جونسون
German
has glossdeu: In der Geometrie versteht man unter den Johnson-Kreisen eines Dreiecks drei Kreise mit gleichem Radius, die durch jeweils zwei Ecken gehen und einen Punkt gemeinsam haben. Das von den Mittelpunkten dieser Kreise gebildete Dreieck wird als Johnson-Dreieck bezeichnet.
lexicalizationdeu: Johnson-Kreis
French
has glossfra: Théorème de Johnson Roger Johnson démontre vers 1916 que ces trois points sur un cercle de même rayon que les trois premiers cercles.
lexicalizationfra: Cercles de Johnson
Italian
has glossita: In geometria, con cerchi di Johnson si possono intendere genericamente le tre circonferenze di ugual raggio che si intersecano in un unico punto, realizzando il teorema di Johnson.
lexicalizationita: cerchi di Johnson
Dutch
has glossnld: Cirkels van Johnson zijn drie cirkels met dezelfde straal die elkaar in één gemeenschappelijk punt H snijden.
lexicalizationnld: cirkels van Johnson
Media
media:imgAnticomplementary triangle.svg
media:imgJohnson circles.svg
media:imgJohnson triangle.svg
media:imgJohnson's Theorem rhomb.svg
media:imgJohnson's Theorem.svg
media:imgJohnson's theorem 2.svg
media:imgJohnson's theorem illustration.svg
media:imgJohnsonDreieck.png

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