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1)  Euclidean geometry without continuity
无连续公理欧氏几何
2)  Euclidean geometry principle
欧氏几何原理
1.
Based on this, this paper introduces basic measuring method of turning points; sums the principle and method of turning point laying off with option quadrangle and triangle; brings forward the principle and method of laying off of turning point with Euclidean geometry principle under existing control point and under complicated topographic condition.
基于此,介绍了转点测设的基本方法;总结了以任意四边形、任意三角形进行转点测设的原理与方法;提出了利用欧氏几何原理,在已有控制点进行转点测设及复杂地形条件下测设的原理与方法;对CAD制图技术在转点测设过程中的应用进行了探讨。
3)  Euclidean geometry
欧氏几何
1.
Research on LDPC Codes Based on Euclidean Geometry;
基于欧氏几何的LDPC码构造研究
2.
At the same time,the duality propositions of the angular bisector,two perpendicular lines,the length of the line segment,the distance between a point and a line in Euclidean geometry,were also established.
在欧氏几何中建立起了角平分线,两条直线垂直、线段长度、点到直线的距离的对偶命题。
3.
Euclidean geometry is not only the leader of the civilization of ancient Greek but also the brilliant achievements of axiomatic approach in mathematics.
以《几何原本》为代表的欧氏几何是古希腊文明的一个火车头,是古代数学公理化方法的一个辉煌成就。
4)  geometric continuity
几何连续
1.
Generaly speaking, Bzier curve interpolation with geometric continuity has more free parameter than corresponding Hermite interpolation, therefore with the same interpolation polynomial degree, the approximation error of the former is smaller.
一般而言 ,几何连续的Bzier插值曲线比Hermite插值曲线具有更多的自由度 ,因此 ,若插值多项式的阶数相同 ,前者的逼近误差通常比后者更小 。
2.
,The construction method for piecewise cubic HCT spline interpolating surfaces with local derivative continuity and global geometric continuity over triangulation is discussed, and a numerical example is given.
讨论了基于HCT三角剖分的分片三次多项式,局部有一阶导数连续,整体几何连续的HCT样条插值曲面的构造方法,并给出了数值算
3.
This blending formula can be extended for the blending curve and surface with any parametric continuity C(n) and geometric continuity G(n).
该多项式混合公式可以推广得到任意参数连续C(n)和几何连续G(n)的混合曲线曲面。
5)  geometric continuous
几何连续
1.
Surface blending in terms of geometric continuous is more practical and welcome with view of geometric interpretation which is different to the traditional differential method based on algebra.
几何连续是对参数曲面中参数连续度量进一步深刻的认识和研究。
6)  continuous geometry
连续几何
补充资料:祖氏公理
中国古代用以计算体积的一条重要公理。由祖冲之、祖b133父子提出。即“幂势既同,则积不容异”(形状不同的物体,若其等高处截面积都相等,则它们的体积不能不相等)。西方直至一千多年后才由意大利数学家卡瓦列里提出。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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