internal bisector

we have ∑PAw2b+w2c≥2(where wa,wb,wc are the corresponding angle-bisectors of △ABC),and several corollaries are given.

根据一个已知的几何不等式,应用差分代换方法并借助于Maple软件进行计算,证明了下述几何不等式:对△ABC与任意一点P有∑PAw2b+w2c≥2(其中wa,wb,wc为△ABC的内角平分线),给出了它的几个推论,提出并应用计算机验证了两个猜想。

In this paper,the important method of R-r-s is used to establish two inequalities for the medians and angle-bisectors of acute triangles,and two inequalities conjectured are proposed and verified with the computer.

应用三角形不等式中重要的R-r-s方法,证明了锐角三角形的中线与内角平分线的两个不等式,提出了两个未解决的猜想不等式。

An important basic inequality for triangles is employed to prove a conjectured inequality for the sum of triangle s inner angular bisector:Let wa,wb,wc,s,r,R be the three inner angular bisectors semi-cirumference inradius and circumradius respectively,then(w++wb+wc)2≤s2+102Rr/5+66r2/5.

应用三角形一个重要的基本不等式,证明了有关三角形内角平分线之和的一个猜想不等式:设wa,wb,wc与s分别是三角形三条内角平分线和半周长,R,r分别为三角形的外接圆半径,则(wa+wb+wc)2s2+102Rr/5+66r2/5。

The important method of R-r-s is employed to derive two beautiful inequalities for triangle s inner angular bisector and median.

应用三角形不等式中强有力的R-r-s方法,建立了仅涉及内角平分线与中线的两个优美不等式,提出了一个求最小指数值的问题,应用计算机验证了两个有关的猜想不等式。

Two Inequalities for Triangle s Median and Inner Angular Bisector;

关于三角形中线与内角平分线的两个不等式

Some Imequality about Internal Bisector and Opposite Sides;

关于内角平分线与边长的几个不等式

The bisectors of its base angles are equal.

底角的平分线是相等的。

Let OC be the bisector of angle AOB.

oc为AOB的角平分线。

Several Inequalities Involving Medians and Angle-Bisectors of Acute Triangles;

锐角三角形中线与角平分线的几个不等式

Something that bisects, especially a ray that bisects an angle.

二等分物，尤指平分一个角的直线

Posterior tilt angle was increscent and part epiphyseal line was narrow inside and wide outside for 7 cases.

后倾角增大,部分骺线内窄外宽者7例。

IMPROVEMENT ON ALGORITHM OF BUILDING LINEAR BUFFER ZONE BY ANGULAR BISECTRIX METHOD

关于角平分线法建立线状缓冲区算法的改进

Discussing the Equation of Angle Bisection and Bisection Planes;

关于角平分线方程和二面角的平分面方程的探讨

Based on the geometric non-linear analysis, the in-plane global stability of Space Lattice Tilted Column Frame of Triangle Section( SLTCF) is studied.

从结构的几何非线性分析着手,研究截面为三角形的空间格构式斜腿刚架的平面内整体稳定。

Analyzing the DengXiao-ping′s modern thoughts from the view of the different angles;

邓小平现代化思想内涵的多视角分析

Overlay Algorithm of Simple Planar Convex Subdivision in Triangle

三角形内简单平面凸划分的叠置算法

The solid angle is this component divided by the square of the length of this line.

立体角就是这个分量除以这条线的长度的平方。

Two inequalities about radius of escribed circle and bisector of angle;

关于旁切圆半径和角平分线的两个不等式

The Inverse Form of an Angular Bisector Inequality and Other Inequalities;

一个角平分线不等式的逆向形式及其它

Pulse Radiation Characteristic of Planar Equiangular Spiral Antennas Based on the Method of Moment

矩量法分析平面等角螺旋天线的脉冲辐射特性

Designating or specifying a mapping of a surface or region upon another surface so that all angles between intersecting curves remain unchanged.

保角的将一平面映射或显示到另一平面上，其内切曲线的角保持不变

MUTLI-PERSPECTIVE ANALYSIS OF CONNOTATION OF CHINESE COMMUNIST PARTY’S IDEOLOGICAL GUIDELINE IN A NEW CENTURY;

新世纪党的思想路线内涵的多视角分析