所有陆龟品种都在三角形的上部形成一个紧密的点群；所有的水龟都聚集在三角图的下方。
All the land tortoise species formed a tight cluster of points in the upper part of the triangle; all the water turtles cluster in the lower part of the triangular graph.
举例来说，三角形带(0,1,2,3)可转换为两个三角形(0,1,2)及(1,2,3)。
For example, the triangle strip (0, 1, 2, 3) will translate to two triangles (0, 1, 2) and (1, 2, 3).
然后用三角形带取代三角形，从而减少索引数量。
Next, you reduce the number of indices by using triangle strips instead of triangles.
第一个例子是默认图片里似乎有两个三角形，但实际上只画了一个三角形。
A first example is the default picture where it might seem that there are two triangles but in fact only one triangle was drawn.
而对天文观察者来说，它意味着夏季的标志—夏季大三角（在夏季的东南方高空里由天琴座的织女星、天鹅座的天津四及天鹰座的牛郎星组成的三角形）的退去和预示着秋季的星座的到来。
For skywatchers it means the passing of the season's trademark Summer Triangle of stars and the arrival of the autumn constellations.
用三个字母来描述一个三角形(如说三角形abc或tri ABC或简单地说abc)。
Identify triangles with three letters (ex., say "triangle ABC" or "tri ABC" or simply "ABC").
所有美丽的事物所共有的是美的理念或者定义，所有三角形所共有的是三角形的理念或定义，如此类推。
What all beautiful things have in common is the idea or definition of beauty, what all triangles have in common is the idea or definition of a triangle, and so forth.
按惯例，由三角形带中的第一个三角形定义其环绕。
The convention is that a strip's first triangle defines its winding.
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.
如我上面所提到的，我们可以将三角形的类型按照角度或边来分类，在某些情况下，我们提供的三个数值也许不能组成三角形。
As I noted above, we can classify triangle types by angles or sides, and in some instances the three Numbers we supply may not form a valid triangle.
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.
通过使用三角形带，新的三角形可重用最后两个索引。
With a triangle strip, new triangles reuse the preceding triangle's last two indices.
当我将一个三角形带环绕在清单1实现的整个立方体上时，首先从一个逆时针方向环绕的三角形(0,1,2)开始。
When I wrapped one triangle strip around the whole cube in Listing 1, I started with a triangle that is wound counter-clockwise (0, 1, 2).
任何多边形都可定义为一组三角形的集合，因此三角形在3d实现中应用十分广泛。
Triangles are popular with 3d implementations because you can define any polygon as a set of triangles.
你可以使用初等的几何知识例如三角形的三个内角各为180度和三角形全等的规则(边-角-边等)。
You may only use elementary geometry, such as the fact that the angles of a triangle add up to 180 degrees and the basic congruent triangle rules (side-angle-side, etc.).
如果您用三角形的角度进行测试，那么可能的类型是直角、锐角、钝角或等角三角形。
If you test by the triangle's angles, possible types are right, acute, obtuse, or equiangular.
而在三角形上端，覆盖有与三角形，完美吻合的装置。
And on top of that are devices which have been specially designed to perfectly fit this triangle.
当设计这个测试时，您会瞬间看到三类输入输出数据：不等边三角形，等边三角形或者等腰三角形。
When designing tests for this, you immediately see three classes of input and output values: scalene, equilateral, and isosceles.
大部分人都会说这些点不是随机排列的，而是组成了个三角形，尽管组成三角形的线和角并不存在。
The vast majority of people would say that these dots aren't random and form a triangle even though the lines and angles necessary for a triangle to exist aren't really there.
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.
等边三角形三边相等三内角相等。直角三角形有一个角等于90度。
An equilateral triangle has all sides equal and all angles equal. A right triangle has one Angle equal to 90 degrees.
例如，三角形的三条边分别是2,2,2和3,3,3，它们都是等边三角形。
For example, the triangle values 2, 2, 2 and 3, 3, 3 are both equilateral.
三角形: 三角形内角和为180度.
Triangles: The sum of the interior angles of a triangle is 180 degrees.
三角形条带是一系列连接的三角形。
所以当你将三角形带作为一个单独的图元输送给几何着色器时，它会将其视作若干个三角形。
So if you send a triangle strip as a single primitive, what the geometry shader will see is a series of triangles.
平面上有一个三角形,用两个向量描述,记作A、B，怎样求三角形的面积？
Let's start with a triangle in the plane Well, then we need two vectors to describe it say A and B here. How do we find the area of a triangle?
按照惯例，通常使用向右的三角形取代closed，向下的三角形取代open；也可使用加减号，加号表示closed，减号表示open。
By convention, these graphics are usually triangles that point to the right for closed or down for open; or plus and minus signs, where plus means closed and minus means open.
勾股定理(Pythagorean Theorem)告诉我们边长为3、4和5的三角形是直角三角形，因此可以使用边长3、4和5来简单地测试。
The Pythagorean Theorem tells us that a 3-4-5 triangle is a right triangle, so we can simply test for sides of 3, 4, and 5.
假定a，b和θ之间存在一个关系,这是事先所不知道的，这个关系可以是，三角形是直角三角形？
Now, let's say, actually, there is a relation between a, b,and theta that I didn't tell you about, namely, actually, I want to assume that it's a right triangle, OK?
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