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rdfs:label: Fuoco (geometria) Фокус (геометрия) بؤرة (هندسة رياضية) 초점 (기하학) Фокус (математика) Focus (geometria) Foyer (mathématiques) Focus (geometry) Brennpunkt (Geometrie) 焦點 (幾何) 焦点 (幾何学) Brandpunt (meetkunde) Foco (geometria) Foco (geometría) Foku (geometria)
rdfs:comment: In geometry, focuses or foci (/ˈfoʊkaɪ/), singular focus, are special points with reference to which any of a variety of curves is constructed. For example, one or two foci can be used in defining conic sections, the four types of which are the circle, ellipse, parabola, and hyperbola. In addition, two foci are used to define the Cassini oval and the Cartesian oval, and more than two foci are used in defining an n-ellipse. Фокус — в геометрии точка, относительно которой (которых) проводится построение некоторых кривых. Например, один или два фокуса могут использоваться при построении конических сечений, в число которых входит окружность, эллипс, парабола и гипербола. Также два фокуса используются при построении овала Кассини и овала Декарта. Большее число фокусов рассматривается при определении n-эллипса. En geometría el foco de una curva o de una superficie es un punto singular, por lo general no perteneciente a ella, respecto del cual se mantienen constantes determinadas distancias relacionadas con todos los puntos de la misma. Una figura puede tener asociados más de un foco. Фо́кус в математиці: 1) Фокус лінії другого порядку — точка F, що лежить в площині цієї кривої лінії і має таку властивість, що відношення відстаней від будь-якої точки кривої до точки F та до найближчої директриси є стала величина, і дорівнює ексцентриситету. 2) Фокус — один із видів особливих точок диференційного рівняння. Всі інтегральні криві, що проходять через точки досить малої околиці такої особливої точки, є спіралями з нескінченною кількістю витків, що необмежено наближуються до особливої точки, накручуючись на неї. 기하학에서 초점(焦點, 영어: focus)은 원뿔 곡선(이차 곡선)을 건축할 때, 바탕이 되는 2개의 점이다. في الهندسة الرياضية، البؤرة أو المحرق (باللاتينية: focus) هو نقطة تستخدم لوصف القطوع المخروطية. أنواع القطوع المخروطية الأربعة هي، الدائرة، القطع المكافئ، القطع الناقص، القطع الزائد.تقع البؤرة دائماً على محور تناظر القطع المخروطي. En geometria, el focus d'una corba és un punt (o punts) singular, respecte del qual es mantenen constants determinades distàncies relacionades amb els punts d'aquesta corba. On désigne généralement par foyer un ou plusieurs points caractéristiques associés à une figure remarquable de géométrie. Geometrian, konika baten fokua planoko puntu finko bat (edo batzuk) da. Ikusiko dugunez, kurba horren puntuekin erlazionatutako hainbat distantzia konstanteak izaten dira fokua erreferentzia hartuta. 在几何学上，焦點是指建構曲線中的一些特殊點。例如用一個或二個焦點可以定義圓錐曲線，分別為圓（一個焦點）、橢圓（二個焦點）、拋物線（一個焦點和一條線）及雙曲線（二個焦點），此外，有二個焦點可以定義卡西尼卵形线及，二個以上的焦點可以定義。 In geometria, il fuoco è un punto particolare usato nel descrivere sezioni coniche. Una sezione conica può essere definita come un luogo di punti la cui distanza dal fuoco è uguale all'eccentricità moltiplicata per la distanza alla direttrice corrispondente.Anche nel caso in cui ci siano due fuochi, il luogo descritto, su una combinazione un fuoco - direttrice, rappresenta la sezione conica. Da notare è che l'ellisse (non circolare) e l'iperbole hanno due fuochi ciascuna. Parabola con fuoco (F) e direttrice (L) Verschillende meetkundige krommen, dat kunnen vlakke krommen en ruimtekrommen zijn, hebben een brandpunt. Een brandpunt is een punt binnen de kromme waar alle lichtstralen of geluidsgolven, die op de kromme invallen en erdoor worden gereflecteerd, doorheen komen, vandaar de naam brandpunt. Kegelsneden kunnen met behulp van het brandpunt of van de twee brandpunten binnen de kromme worden gedefinieerd. 初等幾何学（特に平面射影幾何学）における焦点（しょうてん、英: focus）は、ある種の一連の曲線群に属する任意の曲線を構成するための特別な参照点の対である。焦点を用いて、例えば円錐曲線（円、楕円、放物線、双曲線）やさらにカッシーニの卵形線やなども定義することができる。 Verschiedene geometrische Kurven, insbesondere Kegelschnitte, besitzen Brennpunkte. Unter anderem anhand der Lage dieser Brennpunkte lassen sich diese Kurven beschreiben. Em geometria, o foco, ou focos no plural, são pontos especiais que definem como um certo conjunto de curvas é desenhado. Por exemplo, o foco pode ser usado para definir seções cônicas, cujos quatro tipos são: círculo, elipse, parábola, e hipérbole. Além disso, o foco é usado para definir as ovais: Cassini e Cartesiana.
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dbp:title: Focus
dbp:urlname: Focus
dbo:abstract: On désigne généralement par foyer un ou plusieurs points caractéristiques associés à une figure remarquable de géométrie. Em geometria, o foco, ou focos no plural, são pontos especiais que definem como um certo conjunto de curvas é desenhado. Por exemplo, o foco pode ser usado para definir seções cônicas, cujos quatro tipos são: círculo, elipse, parábola, e hipérbole. Além disso, o foco é usado para definir as ovais: Cassini e Cartesiana. En geometría el foco de una curva o de una superficie es un punto singular, por lo general no perteneciente a ella, respecto del cual se mantienen constantes determinadas distancias relacionadas con todos los puntos de la misma. Una figura puede tener asociados más de un foco. 初等幾何学（特に平面射影幾何学）における焦点（しょうてん、英: focus）は、ある種の一連の曲線群に属する任意の曲線を構成するための特別な参照点の対である。焦点を用いて、例えば円錐曲線（円、楕円、放物線、双曲線）やさらにカッシーニの卵形線やなども定義することができる。 في الهندسة الرياضية، البؤرة أو المحرق (باللاتينية: focus) هو نقطة تستخدم لوصف القطوع المخروطية. أنواع القطوع المخروطية الأربعة هي، الدائرة، القطع المكافئ، القطع الناقص، القطع الزائد.تقع البؤرة دائماً على محور تناظر القطع المخروطي. Geometrian, konika baten fokua planoko puntu finko bat (edo batzuk) da. Ikusiko dugunez, kurba horren puntuekin erlazionatutako hainbat distantzia konstanteak izaten dira fokua erreferentzia hartuta. 在几何学上，焦點是指建構曲線中的一些特殊點。例如用一個或二個焦點可以定義圓錐曲線，分別為圓（一個焦點）、橢圓（二個焦點）、拋物線（一個焦點和一條線）及雙曲線（二個焦點），此外，有二個焦點可以定義卡西尼卵形线及，二個以上的焦點可以定義。 En geometria, el focus d'una corba és un punt (o punts) singular, respecte del qual es mantenen constants determinades distàncies relacionades amb els punts d'aquesta corba. In geometria, il fuoco è un punto particolare usato nel descrivere sezioni coniche. Una sezione conica può essere definita come un luogo di punti la cui distanza dal fuoco è uguale all'eccentricità moltiplicata per la distanza alla direttrice corrispondente.Anche nel caso in cui ci siano due fuochi, il luogo descritto, su una combinazione un fuoco - direttrice, rappresenta la sezione conica. Da notare è che l'ellisse (non circolare) e l'iperbole hanno due fuochi ciascuna. Un'ellisse può essere descritta con il luogo dei punti per i quali la somma delle distanze dai fuochi è costante, mentre l'iperbole è il luogo dei punti per i quali il valore assoluto della differenza delle distanze dai fuochi è costante. Nel problema gravitazionale dei due corpi, le orbite dei corpi sono descritte da sezioni coniche dove i fuochi sono posizionati nel centro di massa. Parabola con fuoco (F) e direttrice (L) Verschiedene geometrische Kurven, insbesondere Kegelschnitte, besitzen Brennpunkte. Unter anderem anhand der Lage dieser Brennpunkte lassen sich diese Kurven beschreiben. Фо́кус в математиці: 1) Фокус лінії другого порядку — точка F, що лежить в площині цієї кривої лінії і має таку властивість, що відношення відстаней від будь-якої точки кривої до точки F та до найближчої директриси є стала величина, і дорівнює ексцентриситету. 2) Фокус — один із видів особливих точок диференційного рівняння. Всі інтегральні криві, що проходять через точки досить малої околиці такої особливої точки, є спіралями з нескінченною кількістю витків, що необмежено наближуються до особливої точки, накручуючись на неї. Verschillende meetkundige krommen, dat kunnen vlakke krommen en ruimtekrommen zijn, hebben een brandpunt. Een brandpunt is een punt binnen de kromme waar alle lichtstralen of geluidsgolven, die op de kromme invallen en erdoor worden gereflecteerd, doorheen komen, vandaar de naam brandpunt. Kegelsneden kunnen met behulp van het brandpunt of van de twee brandpunten binnen de kromme worden gedefinieerd. 기하학에서 초점(焦點, 영어: focus)은 원뿔 곡선(이차 곡선)을 건축할 때, 바탕이 되는 2개의 점이다. In geometry, focuses or foci (/ˈfoʊkaɪ/), singular focus, are special points with reference to which any of a variety of curves is constructed. For example, one or two foci can be used in defining conic sections, the four types of which are the circle, ellipse, parabola, and hyperbola. In addition, two foci are used to define the Cassini oval and the Cartesian oval, and more than two foci are used in defining an n-ellipse. Фокус — в геометрии точка, относительно которой (которых) проводится построение некоторых кривых. Например, один или два фокуса могут использоваться при построении конических сечений, в число которых входит окружность, эллипс, парабола и гипербола. Также два фокуса используются при построении овала Кассини и овала Декарта. Большее число фокусов рассматривается при определении n-эллипса.
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Subject Item: dbr:Solar_System
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Subject Item: dbr:Semi-major_and_semi-minor_axes
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Subject Item: dbr:Focus_(mathematics)
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Subject Item: wikipedia-en:Focus_(geometry)
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