给出平面上多边形的面积矢量的定义及公式，并应用它求出多边形的面积公式。
Give a definition about area vector of a polygon on the plane and its formula, area formula of a polygon can be sought by it.
我们证明，当边长已知的多边形的面积达到最大时，该多边形的顶点一定共圆。
We also show that when the maximal area of such a polytope is attained, the vertices of it are just co-circular.
在用容积法计算地质储量的过程中，含油面积的确定实际上是计算多边形的面积。
In the process of reserve calculation using volumetric method, to confirm oil-bearing area is in fact to calculate polygon area.
Geometry描述扁平(比如欧几里得)平面上的位置，并可用来判定诸如多边形形状和面积之类的信息。
Geometry describes locations on a flat (i.e. Euclidean) plane, and can be used to determine information such as the shape and area of a polygon.
同时指出可以通过判断矢量多边形面积的正负值将多边形的顶点按照顺时针或逆时针方向排序。
At the same time the author points out that the polygon vertexes can be sorted clockwise or anticlockwise by judging the sign of the vector polygon area.
讨论尺规方法均分多边形面积，给出过多边形边界上一点作一直线将多边形面积二等分的作法。
This paper discusses the method of using rulers and compasses to average the polygonal areas by treating the dot on the bounder of a polygonal area as a beeline.
鉴于这种情况，我们先使用低通滤波对轮廓曲线作光顺处理，随后再采用基于面积误差的多边形逼近法对曲线作逼近处理。
And they are often distorted. First, a low passed filter is used to smooth the contour. And a polygon approximating method based on area error is used to approximate the contour.
说明：根据输入点组成线和面，并计算组成的凸多边形的质心、面积、是否和指定线交叉等。
The input lines of dots and the surface, and calculate the composition of the convex polygon centroid, area, and whether the specified line cross, etc.
文中提出了一种基于面积误差的多边形逼近算法。
该方法给出了基于面积值判断的快速终止条件，避免了异常情形的特殊处理，并能通过区域测试快速判定两多边形是否发生干涉。
QQH algorithm provides a fast terminate condition based on judging the area and avoids the special process for the exception, as well as determines whether interference occurs or not by region test.
提出基于面积的变化统计方法，分别利用矢量数据的多边形交集和栅格数据的变化像素来统计地图矢量数据的变化。
Putting forward the change statistic method based on acreage, and counting the varieties of vector map data by using polygon intersection of vector data and changed pixel of raster data.
给出了GPS定位信息的获取技术，多边形农田面积的计算方法，测量仪软硬件的设计原理等。
The acquisition of GPS positioning information, method of area calculation for polygon fields, and design of hardware and software of the instrument were also introduced.
提出了椭园内接或外切多边形面积公式，并讨论了其面积达到最大值与最小值的条件。
In this paper, an area formula of polygon of inscribed or circumscribed ellipse is presented and the condition that the area reaches maximum value or minimum value is discussed.
本文介绍了三种计算多边形面积的方法，重点介绍了如何利用VB语言编制计算多边形面积的程序。
Three methods are introduced for a polygon area calculation in this paper. And emphasis is put on how to use VB language to write the program for polygon area calculation.
组成霰石晶层的单元晶为长3-5微米、宽2-3微米和厚0.2-0.5微米的不规则多边形板块。板块的大小由珍珠囊上皮细胞的表面积决定。
A single tablet is irregular polygon in shape which is 3-5 um long, 2-3um wide and 0.2-0.5um thick, the size is determined by the epithelial cells of the pearl sac.
论文采用重叠灵敏度矩阵、面积比、重建图像、双吸收组织模型、不同深度下的信噪比等评价参数，对提出的多边形探头分布模型的性能进行评估。
The overlapping sensitivity matrix, area ratio (AR), reconstruction image, two-absorber model, and contrast-to-noise ratio (CNR) in different depths are used to evaluate the performance of PG.
论文采用重叠灵敏度矩阵、面积比、重建图像、双吸收组织模型、不同深度下的信噪比等评价参数，对提出的多边形探头分布模型的性能进行评估。
The overlapping sensitivity matrix, area ratio (AR), reconstruction image, two-absorber model, and contrast-to-noise ratio (CNR) in different depths are used to evaluate the performance of PG.
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