共点

三角形的三个高共点。

The3 altitudes of a triangle are concurrent .

将平面上关于三角形中三条线共点问题的Ceva定理，推广到n维欧氏空间E~n中关于单形的n＋1个n－l维超平面的共点问题。

The Ceva 's theorem concerning the concurrent problem of three lines in a triangle is extended to that of ( n + 1 ) ( n-1 ) - dimensional hyperplanes of simplex in the n-dimensional Euclidean E ~ n.

在计算固端弯矩时，临时锁住共点B和C。

In the calculation of fixed end moments , joints B and C are temporarily locked .

Robinson运用共点关系的方法来扩大模型，那么只有第一类共点关系可以实现我们的目的。

Robinson 's method , only those of the first kind work .

深入分析了2D对称性目标透视成像的几何特点，将共点四线交比用于目标轮廓上的关键点的特性描述中；

The geometric characteristics of 2D symmetric objects ' in perspective images are lucubrated . The cross ratio of four lines is applied to describe feature points on object silhouette .

本文研究共点放置极化敏感二维正交矢量天线导向矢量（PACS）中隐含的秩-1模糊问题。

In the paper , we investigate the rank-1 ambiguity problem involved in the polarization-angular coherence structure ( PACS ) of a two-dimensional co-localized vector antenna whose elements are orthogonally oriented .

由Desargues命题和Desargues逆命题证明了三点共线或三线共点的问题。

By Desargues proposition and Desargues converse proposition , we can prove the problem of three point sharing one line and three line sharing one point ;

三线共点的常用证明方法

Ordinary Ways of Proving the Idea Three Lines Share One point

利用代数的方法获得了共点有限向量集的一类几何不等式。

A research into the semi-norms on a finite-dimensional vector space ;

传统相机标定技术大都利用了射影变换保持点共线和线共点的性质。

Traditional calibration technology mostly uses these properties in projective transformation .

钢筋等间距标距与套叠标距刻痕的共点标记

Common mark of equi-distance scale and double scale in bar

共点力系统与厂址选择

Relation between the choice of a Factory Location and the Copolar Force System

共点不共面矢量的画法几何图解法

The graphic solutions to concurrent noncoplanar vectors descriptive geometry

射影几何对共点共线问题的指导作用

Directing Effect of Projective Geometry on the Problems of Cointersection Lines and Collinear Points

每个阵元（矢量水听器）由空间共点的一个声压水听器和一个振速水听器构成。

Each vector hydrophone is composed of one velocity hydrophone plus another co-located pressure hydrophone .

三角形三边弦圆共点的条件

Conditions of the Chordal Circles Sharing the Common Point on the Three Sides of a Triangle

共点关系与非标准模型

Concurrent Relations aud Non-standard Models

共点线段簇通过采样接触面构造，较好体现了面接触交互的特点。

Considering the feature of area-contact interaction , our haptic proxies are constructed by sampling the contact areas .

另一类是服装几何元素本身之间的共点、共面与对称约束。

The second catalog is constraints among geometric elements , which include common control point constraint , coplanarity constraint and symmetry constraint .

本文主要研究了传统相机标定技术，提出了一种基于平面共点直线的标定方法。

In this paper , we mainly dicuss the traditional camera calibration technology and present a simple camera calibration method with intersecting lines on a plane .

对射影几何中的共点线（共线点）定理之间的关系进行探讨，给出它们有关的对偶关系和等价关系。

This paper discusses the relations between concurrent lines theorem and collinear points theorem of the projection geometry , and obtains their duality relation and equivalence relation .

通过一题十种证法试图说明，共点线（共线点）问题的证明在高等几何中的重要作用。

This paper intends to illustrate the important role of the proof of concurent line or collinear point in higher geometry through ten solutions to one question .

声矢量传感器是一种新型传感器，它可以空间共点，同时测量声场中的声压和振速信息。

The acoustic vector hydrophone is a new type sensor , which can simultaneously measure the pressure and particle velocity of the same point in acoustic field .

实验中，我们对标定物图像进行了预处理，调整像素，使它们满足原来空间中的点共线和线共点等特点。

In experiments , we handle the calibration objects images with a pre-processing technology , adjusting pixels to let them meet points colinearity and curves intersection in original space .

从《多边形中的共点线问题初探》一文（见参考文献1）出发，以高等几何和解析几何的高观点去研究同一问题，得出简明的证明，并得到了更一般的结论。

This article makes a study on the problem of concurrent lines in polygon through the way of higher geometry and analytic geometry and reaches brief proof and more general conclusions .

论文研究内容包括：（1）通过充分利用多视角环境下竖直线地面投影的共点性约束，提出了一种快速鲁棒的基于多视角的人体定位与高度测量算法。

The contributions are listed as follows : Firstly , a fast and robust person localization algorithm in multi-camera environment is proposed by utilizing the geometrical concurrent constraints regarding perpendicular lines in multi-camera environment .

给出了关于完全四线形的牛顿线的一个新定理，并用该定理直接证明了射影几何中一类共点、共线命题。

In this paper , we give a new theorem on Newton lines of a complete quadrilateral , and use it to prove direct a type of proposition of common point and common line in the projective geometry .

从人体及服装的特点出发，提出三维服装几何元素的概念采用样条曲线作为基本几何元素，归纳出服装的三种约束关系，即共点、对称和自对称关系；

This paper presents a parametric method for 3D garment design . Based on the features of the human body and garment , we present a concept of garment geometric elements , with the spline curve as its basic element .

利用多值有向角及其相关概念，给出了以三角形每边为弦各作一圆所得三圆共点的充要条件，推广了已有结论。

Through the use of the multivalued directed angle and its related notions , It is given the sufficient and necessary conditions when the three chordal circles based on the three sides of a triangle as their chords share the same point .

南极格罗夫山GRV021788陨石由橄榄石、辉石以及少量的富碳基质、不透明矿物组成，具有橄辉无球粒陨石典型的岩相学和矿物学特征，包括橄榄石晶体三线共点的接触和富镁还原边等。

The Grove Mountains ( GRV ) 021788 meteorite from Antarctica consists of olivine , pyroxene , and a few carbonaceous matrices and opaque minerals . It has petrography and mineralogy of typical ureilites , such as triple junctions and Mg-rich reduction rims of olivines .