平面三角形

The problems of point - line - plane - volume; the facts of square - circle - triangle; the mysteries of central - peripheral - frontal - oblique - concave - convex; the right angle and perpendicular; of scale and position; the interest in post- lintel, wall-slab, vertical-horizontal; the arguments of two-dimensional and three-dimensional space; the extent of a limited field; the meaning of implied extension; the meaning of plan, of section, of spatial expansion - spatial contraction - spatial compression - spatial tension; the direction of regulating lines, of grids; the relationships of figure to ground, or number to proportion, of measurement to scale, of symmetry to asymmetry, of diamond to diagonal; the hidden forces, the ideas of configuration; the static, the dynamic: all these begin to take on the form of a vocabulary.

点-线-面-体的课题；正方形-圆形-三角形的事实；中央-边缘-正对-倾斜-凹入-凸出的奥秘；直角与垂直；尺度与位置；柱-梁、墙-板、竖直-水平的旨趣；两维与三维空间的思辩；局促场所的极限；暗示延伸的含意；平面、剖面、空间扩充-空间收缩-空间挤压-空间张拉的意义；控制线与网格的方向；图与底、数字与比例、尺寸与尺度、对称与非对称、菱形与对角线的关系；暗藏的力量、构型的想法；静态、动态━这一切都将发展成为语汇的形式。

A method to decide whether a vertex on a plane is in a convex polygon or not is presented according to the sign of the third dimension element of cross product of two vect...

引入利用向量叉积符号判定三角形的方向，进而判别平面上一点是否在凸多边形内的方法，简化了计算。

According to the principle of the diameter of a circle corresponding to the right angle and the principle of short side for little angle in right triangle, projecting the initially-chosen point to the hyper-planes of the linear equation group in which every linear equation can be regarded as a hyper-plane and the projection points can be obtained. The initially-chosen point, and one arbitrary projection point, and the solution point are all on the surface of the relative hyper-geometry ball, therein-to, there is a projection point which is nearest to the solution point and it can be regarded as the next iterative initially-chosen point, so the solution problem of the linear equation group can be changed as an iterative problem of approaching the solution on the surface of a hyper-geometry ball.

根据直径对应的圆周角足直角以及直角三角形中短边对小角的原理进一步知道，当将初始点向线性方程组中各个方程所代表的超平面上投影得到投影点时，初始点和其任何一个投影点及方程组的解点都将位于一个相应的超球面上，其中必定存在一个投影点离问题解点的距离最短，即把该点作为下一次迭代的初始点，从而可将线性方程组求解的问题变成球面上逼近解点的迭代问题。

Well, that is just what we see when one of our triangular or other acquaintances comes toward us in Flatland.

那么，这就是当我们在平面国，遇到一个三角形先生或者其他的熟人朝我们走来时，所能看到的一切。

By the algorithm, the surfaces are first divided into a series of mapping areas and synthesis areas using the constraints of the triangles' normal and texture attributes. Then the mapping areas are textured by harmonic mapping from the 2D mapping sample, by a patch-based synthesis method. Finally, the synthesis areas are textured by a triangle-based synthesis method.

首先以三角形法向量、切向矢量与纹理尺度为约束，将三角网格曲面分割为一系列映射区与合成区；然后用基于块的平面纹理合成方法生成大面积样图，用调和映射方法对映射区进行纹理映射；最后采用基于三角块的合成方法生成合成区纹理。

In order to generate spherical equal-area grid,this paper finds the corresponding relationships between unfolded icosahedron and sphere using Snyder equal-area projection.

文中利用Snyder等积多面体投影建立了平面与球面的对应关系，设计了球面等积三角形和四边形离散网格的生成算法。

The resulting surface has a degree 4 parametric polynomial representation and is represented as a network of tangent plane continuous triangular Bézier patches.

生成的曲面有一个4次参数多项式表示并且被表示成一个切平面连续的三角形Bézier片网。

Each section of S cut by a plane perpendicular to the x axis ...

用一个垂直于x轴的平面来切割S，所得的每个截面都是等边三角形。

The plane adopts the joint method of both the finite element and the finite difference to divide plane domain by means of irregular triangular net in order to fit topography and coastal line complicated sea zone; Vertical application σcoordinate conversion and the finite difference method.

平面采用有限元法和有限差分法相结合的方法，用不规则三角形网格剖分计算域，以适应地形和岸线复杂的海区；垂向应用σ-坐标变换及有限差分法。

A triangle is a plane figure with three sides .

三角形是有三个边的平面图形。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。