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We also get another expression of Steinbergs conjecture about plane graphs, that is, every plane graph without i(4≤i≤5) faces in which any two triangles have distance at least 3 and no 3-face is adjacent to any 6-faces is 3-colorable.

我们还得到平面图的一个类似结论：没有4、5面的平面图中如果任意两个3圈的距离至少为3，而且没有3面和6面相邻，那么这个图也是可以3色的。

For a given ray and a complex scene including dense triangle meshes, this approach can cull most nonintersecting triangles by a simple rejection test that only involves triangle/plane intersection tests.

针对由稠密三角形网格组成的复杂场景，算法通过三角形和测试平面的相交判断剔除与投射光线不相交的绝大多数三角面片。

As we all know,there is one Simson line at any point on the circumference of triangles,but in this paper, LHP theorem shows that the above conclusion is not correct for any quadrilateral pyramid in three-dimensional space and also during proving LHP theorem,fixed value theorem is proved,at the same time,one guess about the point H and point P on circumscribed sphere of tetrahedron has been concluded.

众所周知，三角形的外接圆周上任一点存在一条 simson 线，而 LHP 定理则指出对于正四面体该结论是不能推广到三维空间上的，并且在论证 LHP 定理的过程中得出了定值定理，同时作为一般四面体的外接球球面上的 H 点、P 点的分布，给出了一个猜想。

To serve: Cut into squares or triangles and dust with powdered sugar.

服务 ：切成方形或三角形和尘埃与糖粉。

Although his measurements were much more accurate than ours, triangles and Pythagorean theorem were at the heart of his calculations.

虽然他的测量比我们精准许多，但三角形和毕氏定理都是他计算的核心。

Then, the notion of ordered target triangle was defined. It quickly found ordered target triangles and generated the non-ray Voronoi diagram. Considering the characteristics of convex hull, a ray Voronoi diagram was generated by three infinite points.

然后又定义了有序目标三角形的概念，该算法能迅速查找点的有序目标三角形，生成无射线的Voronoi图；考虑凸壳上点的特性，借助三个无穷点生成带射线的Voronoi图。

A regular polygon formed by completing two equilateral triangles from a regular hexagon.

来自于正六角形的两个完全等边三角形组成的正多边形。

This research dissects two regular triangles and assembles them into a large regular triangle. Using GSP and AutoCAD to draw and analyze geometric shapes, four dissection models and nine dissection methods are constructed. The extreme values under all conditions are also discussed, as are the best and generic dissection models. There is a Three-section type "best dissection model" and a semi "generic dissection model."

本文研究两正三角形，经切割后拼成另一大正三角形；期间以GSP及AutoCAD绘制分析几何图形，并建立了4种分割模式，得到了3段式「最佳分割模式」及准「通用分割模式」，提供这方面问题一个可应用於所有条件之完善解决方案。

There are many records on right-angle triangles in ancient mathematics books.

古代数学书籍中有很多关于勾股形的记载。

If the lengths of two sides of a right-angled triangles are 5 and 12, what is the

若一个直角三角形的两条边分别是 5 单位和 12 单位长，则第三条边的长

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。