卡诺定理 Carnot's theorem
(重定向自Carnot theorem)

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设ABC为三角形,O为其外心。则O到ABC各边的距离之和为
- OOA + OOB + OOC = R + r,
其中r为内切圆半径,R为外置圆半径。这个定理叫做卡诺定理,以拉扎尔·卡诺为名。
单词 | Carnot theorem |
释义 |
Carnot theorem
中文百科
卡诺定理 Carnot's theorem(重定向自Carnot theorem)
![]() ![]() ![]() ![]() 设ABC为三角形,O为其外心。则O到ABC各边的距离之和为
其中r为内切圆半径,R为外置圆半径。这个定理叫做卡诺定理,以拉扎尔·卡诺为名。
英语百科
Carnot's theorem 卡诺定理(重定向自Carnot theorem)
![]() ![]() ![]() ![]() In Euclidean geometry, Carnot's theorem states that the sum of the signed distances from the circumcenter D to the sides of an arbitrary triangle ABC is where r is the inradius and R is the circumradius of the triangle. Here the sign of the distances is taken to be negative if and only if the open line segment DX (X = F, G, H) lies completely outside the triangle. In the diagram, DF is negative and both DG and DH are positive. |
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