三角形的外接圆 - 知乎 - 知乎专栏
网页如果我们就是简单的算一下2维平面上的三角形的外心还要引入矩阵，行列式在有些情况下就显得有点大材小用。. 有时候就从简，直接利用这个三角形的外心是三边的垂直平分线的交点既可。. 可能有以下几种情况：. 算出两条直线，找到它们的交点，即算出三角 ...
外接圆 - 维基百科，自由的百科全书 - zh.wikipedia.org
网页2024年6月23日 · 三角形外心的位置在三角形的三条边的 垂直平分线 的交点上，到三个顶点的距离都相等（等于外接圆的 半径），而且：. 对于直角三角形，外心是斜边的中点，外接圆半径即斜边长度的一半。. 这是 泰勒斯定理 的形式之一。. 对于钝角三角形：外心在三角形外 ...
卡诺定理 (内切圆、外接圆) - 维基百科，自由的百科全书
网页2023年7月8日 · 其中r为内切圆半径，R为外接圆半径。 这个定理叫做 卡诺定理 （法语： Théorème de Carnot ），以 拉扎尔·卡诺 为名。 引理
Circumcircle of a Triangle - Math Open Reference
网页It is possible to construct the circumcenter and circumcircle of a triangle with just a compass and straightedge. Construction of the Circumcircle of a Triangle has an animated demonstration of the technique, and a worksheet to try it yourself.
Circumcircle -- from Wolfram MathWorld
网页2024年8月22日 · The circumcircle is a triangle's circumscribed circle, i.e., the unique circle that passes through each of the triangle's three vertices. The center of the circumcircle is called the circumcenter, and the circle's radius is called the circumradius.
Circumsphere—Wolfram 语言参考资料
网页Circumsphere 运算为 Sphere [c, r] ，其中圆心 c 也被称为外心，半径 r 也被称为 Simplex [{p 1, …, p n + 1}] 的外接圆半径. Circumsphere 对于 有定义，且仿射无关. 对于多面体， Circumsphere [ poly ] 等价于 Circumsphere [ PolyhedronCoordinates [ poly ] ] .
Circumcircle - Wikipedia
网页Circumcircle. In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called the circumcenter of the triangle, and its radius is called the circumradius. The circumcenter is the point of intersection between the three perpendicular bisectors of the ...
Definition of Circumcenter - 数学乐
网页三角形外接圆的中心。. 它是“垂直平分线”（与每边的中点成直角的线）相交的地方。. 尝试移动下面的点，外围中心是线遇见的地方：. 另见: Circumcircle of Triangle. Reset. 数学用简单的语言解释，加上拼图，游戏，测验，视频和工作表。.
Circumcircle of a Triangle - Math Open Reference
网页This page shows how to construct (draw) the circumcircle of a triangle with compass and straightedge or ruler. The circumcircle of a triangle is the circle that passes through all three vertices of the triangle. It's center is called the circumcenter, which is the point where the three perpedicular bisectors of the sides intersect.
8.1: Circumcircle and circumcenter - Mathematics LibreTexts
网页The point of intersection of the perpendicular bisectors is called circumcenter. It is the center of the circumcircle of the triangle; that is, a circle that passes thru all three vertices of the triangle. The circumcenter of the triangle is usually denoted by \(O\). Proof. Let \(\triangle ABC\) be nondegenerate.
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