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In geometry, bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector. The most often considered types of bisectors are the segment bisector (a line that passes through the midpoint of a given segment) and the angle bisector (a line that passes through the apex of an angle, that divides it into two equal angles). In three-dimensional space, bisection is usually done by a plane, also called the bisector or bisecting plane.

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  • Bisection
  • منصف (هندسة رياضية)
  • Asse di un segmento
  • 二等分線
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  • In geometry, bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector. The most often considered types of bisectors are the segment bisector (a line that passes through the midpoint of a given segment) and the angle bisector (a line that passes through the apex of an angle, that divides it into two equal angles). In three-dimensional space, bisection is usually done by a plane, also called the bisector or bisecting plane.
  • In geometria euclidea l'asse di un segmento o asse di un lato è la retta perpendicolare al segmento che passa per il suo punto medio. L'asse di un segmento si può caratterizzare come il luogo dei punti che hanno uguale distanza dai due estremi del segmento. In un triangolo, tutti gli assi dei lati sono concorrenti nel circocentro O, e oltre a questi sono sempre su di essi anche i punti medi M e i centri J dei cerchi di Johnson Il circocentro è interno al triangolo acutangolo, sul punto medio dell'ipotenusa del triangolo rettangolo e esterno all'ottusangolo.
  • 二等分線(にとうぶんせん)とは、2次元の幾何学において、線分や角度を二等分する直線。 線分の二等分線はその線分の中点を通る。線分の二等分線が垂線である場合、垂直二等分線という。垂直二等分線は線分の両端からコンパスで同じ半径の円弧を描き、その二つの円弧の交点を結ぶことで求められる。(図1.) ボロノイ図において領域の境界線は、各々の母点の二等分線の一部になっている。 角の二等分線は一つの角を等しい角度に二つに分ける。二等分したい角を中心に二辺と交わる円弧を描いた後は、二辺との二つの交点から線分の垂直二等分線と同じようにして求めることができる。(図2.)
  • 25بك المحتوى هنا ينقصه الاستشهاد بمصادر. يرجى إيراد مصادر موثوق بها. أي معلومات غير موثقة يمكن التشكيك بها وإزالتها. (مارس 2016) في الهندسة الرياضية، يطلق اسم المنصِّف (بالإنجليزية: bisector) على ما يقسم الشيء إلى جزئين متساويين، عادة باستخدام مستقيم. يطلق اسم منصِّف عادة على منصِّف قطعة مستقيمة، ومنصِّف زاوية. يمر منصِّف القطعة المستقيمة من نقطة منتصف هذه القطعة، وإذا كان المنصف متعامداً مع القطعة المستقيمة سمي بمحور القطعة المستقيمة.
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