| Information | |
|---|---|
| has gloss | eng: 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. |
| lexicalization | eng: Johnson circles |
| instance of | (noun) any circular or rotating mechanism; "the machine punched out metal circles" circle, round |
| Meaning | |
|---|---|
| Arabic | |
| has gloss | ara: 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. |
| lexicalization | ara: دوائر جونسون |
| German | |
| has gloss | deu: 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. |
| lexicalization | deu: Johnson-Kreis |
| French | |
| has gloss | fra: Théorème de Johnson Roger Johnson démontre vers 1916 que ces trois points sur un cercle de même rayon que les trois premiers cercles. |
| lexicalization | fra: Cercles de Johnson |
| Italian | |
| has gloss | ita: 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. |
| lexicalization | ita: cerchi di Johnson |
| Dutch | |
| has gloss | nld: Cirkels van Johnson zijn drie cirkels met dezelfde straal die elkaar in één gemeenschappelijk punt H snijden. |
| lexicalization | nld: cirkels van Johnson |
| Media | |
|---|---|
| media:img | Anticomplementary triangle.svg |
| media:img | Johnson circles.svg |
| media:img | Johnson triangle.svg |
| media:img | Johnson's Theorem rhomb.svg |
| media:img | Johnson's Theorem.svg |
| media:img | Johnson's theorem 2.svg |
| media:img | Johnson's theorem illustration.svg |
| media:img | JohnsonDreieck.png |
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