查询词典 conic

This article takes the teaching of conic sections as an example. By designing worksheets, teachers can introduce the historical material about conic sections to students. By way of using Apollonius' definition of parabola, ellipse and hyperbola, teachers can introduce the geometric aspect of "conic section" to students. By using the concept of " latus rectum " in Conics , we can connect "conic sections"-- representation of geometrical aspect, with "the equation of conic sections"-- representation of algebraic aspect to improving insufficiency of text books.

同时本文也试著从历史文本中寻找材料，简单举例说明数学教师可以如何应用这些史料在几何单元教学上，例如三角函数的正余弦定理，最后再以圆锥曲线的正焦弦为例，说明如何利用数学史料於此单元的教学，尤其是阿波罗尼斯的《锥线论》中对圆锥曲线的3个命题，将此3个命题的内容与意涵，尤其是正焦弦在圆锥曲线的几何意义上所扮演的角色，将其适当地融入教学中，将可使学生真正学习圆锥曲线的几何知识，而不再只是代数形式的几何知识。

An image conic can be the projection of either a planar conic or silhouette of a conicoid. We show that at least three images, taken from the same position with different camera orientations, of two planar conics, or two conicoids, or one conic and one conicoid, are needed for the calibration, and a closed-form solution can be obtained. Our new conic based calibration technique requires no knowledge of camera's orientations, and relies solely on image correspondences.

在不同的方位拍摄三幅或三幅以上图像，每幅图像至少包含两个空间平面二次曲线、或两个二次曲面、或一个平面二次曲线与一个二次曲面的投影，利用图像之间的二次曲线对应关系，可以确定摄像机的内参数矩阵，同时可以获得摄像机不同方位之间的旋转矩阵。

Chapter Five shows the case study of the beauty of math in high school teaching. Conic section is taken as an example to unearth the beauty of mathematics in from the following three aspects: 1. the language beauty of conic section reveals the external formal beauty; 2. the methodological beauty and the logical beauty of conic section reflect the internal rational beauty; 3. the beauty of mathematics in conic section reveals the new value in internal knowledge structure of textbooks. Moreover, the application of the beauty of mathematics in high school math teaching is also discussed from the following four points of view: the pursuit of conciseness, the construction of symmetry, the utilization of unity and the discovery of uniqueness.

首先，以圆锥曲线教学为案例来挖掘中学数学教学中的数学美，具体从三个层次探讨①圆锥曲线语言之美，是数学美的外在形式美具体展现；②圆锥曲线方法美、逻辑美，是深层次数学美的内在理性美的反映；③在圆锥曲线的教学过程中，利用其数学美处理教材，揭示内在知识结构的新价值；其次，提出数学美在中学数学学习中的具体案例运用，并具体从追求简洁性、构造对称性、利用统一性和发现奇异性四个方面来举例探讨。

We give three constraints of absolute conic images and use these constraints to evaluate absolute conic images and then to recover Euclidean reconstruction from projective reconstruction.

总结了三种关于绝对二次曲线的像的约束，并利用这些约束求解绝对二次曲线的像，进而实现从仿射重构恢复欧氏重构。

This paper established a new kind of relation on projection——conic projection analogue by introducing the latitude circle and longitude circle analogues, then discussed the best choice of the conic vertex angle in this projection, and found the mathematical model and the applicable scope of this projection.

摘 要：本文通过引入类纬圈和类经圈，建立了一种新的投影关系——类圆锥投影，进而探讨了类圆锥投影中圆锥顶角的最佳选择，找到了类圆锥投影的数学模型和适用范围。

We reseach the equation of conic section and obtain the equation which can give all plane conic section .

探讨二次曲线的方程，构造了一个可以表示平面上所有九种二次曲线的方程。

According to the fUndamental theorem of coniC In projective geometry any five points can decide one conic section .

在射影几何中，二次曲线定理告诉我们任意五点可以决定一条二次曲线。

Accoring to the polar theory of conic section, the characteristics of geometrical graphics concerning the conic section is discussed from following three aspects:the conbination of Point and line, harmony of point range and pencil of line , trace of point and enveloping of straight line.

本文根据二次曲线的配极理论，从点、线的结合性，点列和线束的调和性，点的轨迹和直线的包络三方面研究与二次曲线有关的几何图形的性质。

The ratio of the distance of any point on a conic section from a focus to its distance from the corresponding directrix. This ratio is constant for any particular conic section.

离心率二次曲线上任何一点到焦点的距离与到准线的距离之比对任一特定二次曲线来说，这个比值都是一个常数

Unlike previous approaches that use a single conic as proxy surface in the optimization phase, our method use multiple segments of conic to further reduce the error and guarantee C0 continuity between the conics in the same cone spline surface.

不同於旧有的方法利用单一的圆锥曲面，我们利用多段的圆锥曲面拟合网格以降低误差，并保证同一区块内，圆锥之间的C0连续性，因此我们的演算法可以利用较少的区块，来更精确的拟合网格。

Apllied the data of QuickBird-2——the highest resolution remote sensing,and based on the theory and methodology of fractal geometry,we have quantitatively studied remote sensing lineations in Gaolong gold deposit of Guangxi.

采用Quick Brid-2高分辨率卫星遥感数据，通过分形几何学的盒计维数法，定量研究广西高龙金矿区遥感线性构造。

So, sometimes, to change the color can not be your food (referring to the above-mentioned crustacean) has been a sign of boiling over.

所以，有时，来改变颜色，不能你的食物一直是沸腾了的迹象。