则分别以点为三角形顶点计算面积并求和即可。
Point of the triangle is the vertex of each area and the sum can be calculated.
首先我们需要对每个三角形顶点法线，但如何实现这一目标？
At first we need to get normals for each triangle vertex, but how to achieve this?
在读入步骤1的饼图后，将在步骤1的图表中绘制由三角形顶点文件指定的多边形。
After reading in the Step 1 pie chart, polygons specified by the triangle vertices file are drawn on the Step 1 chart.
首先将检索信息引入匹配过程中，利用检索到的匹配三角形顶点间相互匹配，解决指纹匹配参考的选择问题。
The match of the matched in indexing period triangle vertices is used to solve the problem of selecting the match reference.
如果是指定的3 - d网状结构中的三角形，三角形顶点位置的指定顺序会决定三角形表面是正对面或背对面。
For a triangle in a given 3-d mesh, the order in which the triangle's vertex positions are specified determines whether the triangle face is a front or back face.
在上面的第一个可行域中，优化解决方案是解析空间中的右顶点，而这个解析空间是一个由所有约束构成的三角形。
In the first feasible region above, the optimal solution is the right vertex of the solution space, which is a triangle made by all the constraints.
为顶点指派颜色对三角形内的像素会有什么影响呢？
If you assign the colors to the vertices, what happens to the pixels inside the triangles?
三角形指示符的这些顶点都是在GD：Pie的修订版本中创建的。
These vertices for the triangle indicators are created in our modified version of GD: : Pie.
调用clear清除背景后，即可通过init中创建的顶点数据和三角形绘制对象。
After a call to clear erases the background, you draw the cube by using the vertex data and triangles created in init .
Jim建议“敏捷三角形”应该包括以下三个顶点。
Jim suggested that the Agile triangle consists of the following vertices.
传统铁三角的三个顶点转变为“敏捷三角形”的一个顶点，被称为约束。
The three vertices of the iron triangle collapse into one vertex of the Agile triangle called constraints.
在平面着色渲染模式下，可用三角形的第三个顶点颜色为整个三角形着色。
In flat-shading mode, you use the color of a triangle's third vertex across the whole triangle.
为节约内存，首先应将顶点与其三角形定义分隔开来。
To reduce memory, you first separate the vertices from their triangle definitions.
在三角形外部画的一个圆，包含了三角形的三个顶点。
A circle that is drawn around the outside of a triangle and contains all the vertices of the triangle.
例如，(0,1,2)按逆时针方向定义第1个三角形的顶点，而第二个三角形为(1,2,3)是按照顺时针方向定义的。
For example, (0, 1, 2) defines the first triangle's vertices counter-clockwise; the second triangle (1, 2, 3) is defined clockwise.
它是用来画一个非常简单的三角形在一个顶点和碎片着色器的帮助下。
It is used to draw a very simple triangle with the help of a vertex and fragment shaders.
“快乐”和“幸福”形成三角形的两边，“极乐”在它的顶点。
Joy and Felicity form two sides of a triangle that has Bliss at its apex.
例如，若输入的是由包含12个顶点的三角形带，那么输出的就是10个三角形。
If the input is a triangle strip primitive containing 12 vertices, for example, the output of this process will be 10 triangles.
每一个面是正三角形并且于每一个顶点处有三个面相交。
Each face is an equilateral triangle and three faces meet at each vertex.
使用遮瑕膏在眼睛下面涂出三角形，顶点朝着脸颊，有提升效果。
Using concealer to have triangles drawn under the eyes with the points toward the cheeks will imitate the lifting effect.
古埃及的一种巨大的纪念塔，有一个矩形的底座和四个三角形的侧面并形成唯一的一个顶点，建于地窟或坟墓之上或周围。
A massive monument of ancient Egypt having a rectangular base and four triangular faces culminating in a single apex, built over or around a crypt or tomb.
三角形有三个顶点。
三个接收天线（接收闪电放电辐射的超高频脉冲）分别放在一个垂直边长为120米的直角等腰三角形的顶点，由到达天线的时间差来计算接收到的闪电脉冲的方向。
The three antennas which receive VHF impulses emitted by a lightning discharge are placed on the vertices of a right-angled isosceles triangle with perpendicular sides 120 meters in length.
推导出用三顶点的测地坐标计算地球椭球面上三角形面积的公式。
The formula for area of triangle on ellipsoid by means of geodesic coordinate is derived in this paper.
尼利认为，顶点订约三角关系中的时间开始到结束的三角形本身的定义限制与非限制。
Neely found that the apex of a contracting triangle's relationship in time to the beginning to end of the triangle itself defined limiting versus non-limiting.
三角测量通过以分别作（顶点）的两个已知点和一个未知点形成一个三角形，来求出或定位该未知点，如在航海中。
The location of an unknown point, as in navigation, by the formation of a triangle having the unknown point and two known points as the vertices.
在四层平行平板间并列分布九个PZT微驱动器，每层的三个驱动器摆放在一个正三角形的三个顶点上。
Nine PZT actuators are distributed among four platforms, and in each layer there are three PZT actuators placed on the vertexes of an equilateral triangle.
在局部三角化中考虑了三角形内角和顶点距离，采用规格化最小顶点距离法实现局部三角化，避免了狭长三角形出现。
A new re-triangulation method based on normalized minimum-vertex-distance was presented to avoid long and thin triangles, and it considered the vertex distance and the interior Angle of triangle.
在局部三角化中考虑了三角形内角和顶点距离，采用规格化最小顶点距离法实现局部三角化，避免了狭长三角形出现。
A new re-triangulation method based on normalized minimum-vertex-distance was presented to avoid long and thin triangles, and it considered the vertex distance and the interior Angle of triangle.
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