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并直接推出了二级曲线的五种标准方程。And five standard equations of conics are also directly deduced.

圆锥曲线是高中生解析几何学习中的一个难点。Conics is a difficult section in the Analytic Geometry for senior high school students.

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它包括基本的初等几何学,圆锥曲线,几何学函数和切线曲线。It covers the basic elementary geometry, conics , geometric functions and tangent curves.

讨论了基于二次曲线不变量的圆锥曲线特征自动识别方法。Automatic identification method of conics is studied based on the curve geometric invariants.

接下来的三章冯施陶特制定的办法,二次曲线理论的自足的帐户。The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics.

通过两个二次曲线交点的直线。对未相交的二次曲线也有其定义。The lines constructed through the intersections of two conics. This is also defined for non-intersecting conics.

在射影几何的范畴内,全面地论述了两二次曲线的公有点和公切线的图解问题。This paper deals with the graphics of the intersections and common tangents of two conics according to projective geometry.

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应用二次曲线束理论揭示解二元二次方程组的几何意义。Apply the theory of pencil of conics to reveal the geometric significance of simultaneous equations of second degree with two unknows.

研究探讨了一种基于平面二次曲线的纯旋转摄像机自标定方法。In this paper, instead of corresponding image points which are widely used in the literature, corresponding image conics are used to calibrate a rotating camera.

所用的标定模板由平面上两个相交的圆周组成,且两圆的圆心和半径均未知,通过对两圆的图像进行二次曲线拟合,再根据拟合的二次曲线来计算圆环点图像完成标定过程。The radii and the centers of the circles are both unknown. The algorithm uses conics fitting to calculate the images of the circular points from the images of the circles.

通过对离心式水泵高效工作区的性能曲线进行二次拟合,分析了离心式水泵机组并联调速运行特性。The parallel-connection and variable-speed operation characters of the centrifugal pump groups are studied by conics fitting of the character curves in the high efficiency area.