So, today, we'll start by looking at the equations of lines.
今天我们要从学习直线方程开始。
In fact, parametric equations of lines always look like that.
实际上，直线的参数方程总是这个样子的。
OK, so we are going to learn about parametric equations of lines.
我们马上就要学习直线的参数方程。
Ok, we've also seen how to look at equations of lines, and those were of a slightly different nature because we've been doing them as parametric equations.
我们还学过怎样理解直线方程，它们有些特性，因为我们是从参数方程角度理解。
With this view point, all other meridian projection equations of lines in special positions, and the curved surface formed by the meridian projection after being rotated are presented.
文中通过方程序的推导，论证了上述观点，并以此为基础，进一步论述了各种特殊位置直线的子午投影的方程序，以及这些子午投影旋转后所形成的曲面。
So, we have mostly focused on the use of parametric equations just for one dimensional objects, lines, and curves.
我们主要还是关注，参数方程的运用，主要是一维的，比如直线、曲线等。
In the case of graphs and equations, it includes making quick judgments about where lines should intercept the axes and about their slope, even when that is not at all obvious.
在图表和等式方面，即使当一切不明显，也能对行应在哪里截距轴心和倾斜度上作出迅速的判断。
Another way to do it, of course, would provide actually parametric equations of these lines, get vectors along them and then take the cross-product to get the normal vector to the plane.
当然也有另一种方法，就是用参数方程表示这两条直线，用两条直线的方向向量作外积，从而得到切平面的法向量。
The content of this research is as follows: Direct modeling for tooth surface of ti worm in ANSYS is difficult for the equations of contact lines being a kind of transcendental function.
主要研究内容如下：由于TI蜗杆齿面上的接触线方程是一种超越函数，直接在有限元分析软件ANSYS中建模比较困难。
The new method turned the volt-ampere characteristic equation of transmission lines into an integral form, then used least square method to solve the equations and got the zero-sequence parameters.
该方法是将互感线路的伏安特性方程转化为积分形式，并采用了最小二乘法求解方程组，同时得出各线路的零序自阻抗及线路间的零序互阻抗。
U sing a method of adding curved lines and adjusting install mode of the pad-roller, we also can get shape curve equations of the roller body and an effect of even pad rolling.
均匀轧辊可获得均匀及不同形状的轧点连线，利用叠加曲线的方法，得出轧辊辊体的轮廓曲线方程，通过对轧辊安装方式的调整，可获得均匀轧辊的效果。
I'm looking for a tool that allows me to create shapes (along the lines of a rendering application) which will also generate the parametric equations of the various shapes.
我在寻找一个工具，允许创建的形状(沿渲染应用线)也将各种形状的参数方程生成。
The zero sequence component and the positive sequence component equations of transmission lines are derived on the basis of telegraph equations.
运用电报方程推导出三线-地耦合传输线零序分量和正序分量传输线方程。
The body-fitted computational grid for twisted channels of a centrifugal impeller is generated by solving elliptic partial differential equations directly, so that the grid lines are smooth.
采用直接求解偏微分方程组的方法生成具有复杂扭曲规律的三元离心叶轮贴体网格坐标。
The increment equations of the spline function method of lines are also given out for analyzing the nonlinear problem.
还导出了用于非线性分析的样条函数线法增量方程；
The new method turned the volt - ampere characteristic equation of transmission lines into an integral form, then used least square method to solve the equations and got the zero-sequence parameters.
该方法是将互感线路的伏安特性方程转化为积分形式，并采用了最小二乘法求解方程组，同时得出各线路的零序自阻抗及线路间的零序互阻抗。
The normal consolidation line, the critical state line and the strength envelope line are determined from the laboratory tests, and equations of these lines are given.
通过室内三轴试验测定出上海粘土的正常固结线、临界状态线及天然强度线，并给出各线的表达式。
This paper give the mathematical models of general serial-parallel production lines and feedback production lines. The mathematical models are described by linear state equations over max-algebra.
本文给出了一般串并行生产线，反馈生产线的极大代数上线性状态方程所描述的数学模型。
In the end, equations of identified lines are obtained according to the image coordinates of points on the lines.
最后，根据图像中识别出的直线上各点的坐标，拟合出了直线方程。
In this paper we give the definition of the family of lines in space and its forms of equations.
本文给出了空间直线束的概念，并给出了空间直线束的两种形式。
The equations for thread taper, thread pitch, thread angle and height of thread can be derived on the base of fitted lines, which are accurate enough to meet the needs of industrial measurement.
该方法可测量螺纹的锥度、螺距、螺纹夹角和螺纹高度，测量精度可以满足工业测量要求。
The equations for thread taper, thread pitch, thread angle and height of thread can be derived on the base of fitted lines, which are accurate enough to meet the needs of industrial measurement.
该方法可测量螺纹的锥度、螺距、螺纹夹角和螺纹高度，测量精度可以满足工业测量要求。
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