双曲线的

As the equation of the curve determined by companion centers shows, our main result is that the set of all companion centers of a nonisosceles triangle is the unique equilateral hyperbola, called the hyperbola of , passing through the vertices ,, and the barycenter of .

透过伴心轨迹方程式我们得到主要结果如下：非等腰三角形的伴心所成的集合是一个通过三顶点、、及重心唯一的等轴双曲线，称为的双曲线。

The similar drawing of the hyperbolic line is argument according to my experience with teaching, which is on the head surfaces of hex nut and used in the engineering drawings, through building three-dimensional model in AutoCAD.

本文通过在AutoCAD中建立三维虚拟对比模型，探讨了工程图样中六角螺母和六角螺栓头部外表面双曲线在计算机辅助设计中的近似画法问题。通过对比，论证了样条曲线替代圆弧近似双曲线改进画法在计算机绘图中的合理性和优越性。

First chapter talked about the hyperbolic orbit.

第一章是双曲线轨道力学。在天体力学和卫星轨道力学所涉及的书籍和有关文献中，很少提及双曲线轨道，更不会讨论在受摄情况下这种轨道的变化规律。

According to the definition of hyperbolic sine, flow stress constitutive equations of T122 and T91 steels had been developed.

根据双曲线正弦函数的定义，建立了T122钢和T91钢热变形条件下流变应力双曲线本构方程的显式表达式。

In this paper, we study the decreasing types of the output of oil field opened by pouring water and the successive approximation method of its solution in mathematics and seepage flowing mechanics.

从数学和渗流力学概念对注水开发油田产量递减类型和判别求解方法进行了研究，提出产量递减类型应为指数递减和双曲线递减两种类型；双曲线递减的递减指数n的变化范围应为0＜n＜∞；递减类型判别和递减参数求解方法可以根据最小二乘法原理，采用数学逐次逼近法直接求解产量随时间递减的关系式。

In the equation, the unknown parameters are determined by the crack initiation angle, the crack length and the angle between the direction of the maximum principal stress and the crack surface.

采用双曲线翼型裂纹路径和试验中所得翼型裂纹路径进行了对比分析，二者吻合得很好，验证了采用双曲线近似表示真实存在的翼型裂纹模型的正确性。

The hyperbolic-type nonlinear model and rigid and perfectly-plastic model are usually adopted to simulate the constitutive behavior in tangent direction of contact surface. in fact, however, the hyperbolic-type nonlinear model can not definitely display the plastic flow deformation after shear failure while rigid-perfectly-plastic model can not describe the nonlinear deformation before shear failure.

对于土与结构间接触面的切向本构关系，目前通常采用双曲线非线性弹性模型或刚塑性模型来描述，但是，传统的双曲线非线性模型不能明确地表达剪切破坏后的塑性流动变形特性；而刚塑性模型又无法描述剪切破坏之前的非线性弹性变形。

Either of two quadric surfaces generated by rotating a hyperbola about either of its main axes and having a finite center with certain plane sections that are hyperbolas and others that are ellipses or circles.

双曲面两个二次曲面的任何一个，通过使一个双曲线绕其任何一根中轴旋转而成，而且旋转时有一个有一定双曲线平面切面的中心，而其他切面是椭圆或圆周

Either of two quadric surfaces generated by rotating a hyperbola about either of its main ax es and having a finite center with certain plane sections that are hyperbolas and others that are ellipses or circles.

双曲面两个二次曲面的任何一个，通过使一个双曲线绕其任何一根中轴旋转而成，而且旋转时有一个有一定双曲线平面切面的中心，而其他切面是椭圆或圆周

A hyperbolic error often appears in cutting cone with ordinary lathe tool and arris body lathe tool.

根据用普通车刀和棱体成形车刀车削加工圆锥体时将产生双曲线误差的结果，通过计算得出产生双曲线误差的主要因素及使其误差最小时所要注意的事项

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新