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词汇 Mathematical line
分类 英语词汇 英语翻译词典
释义

Mathematical line

原声例句
亨利·亚当斯的教育(下)

Was it a wire or a mathematical line?

是电线还是数学线?

中文百科

直线 Line (geometry)

(重定向自Mathematical line)
三条直线:红线与蓝线有相同的斜率, 红线与绿线有相同的截距
。
Representación de un segmento de recta.
Haz de rayos.
Rectas que pasan por el punto: (2,4).

直线,是一个点在平面或空间沿着一定方向和其相反方向运动的轨迹;不弯曲的线。直线是几何学的基本概念,在不同的几何学体系中有着不同的描述。在这里主要描述欧几里得空间中的直线。其他曲率非零状况下的直线,请参考非欧几里得几何。

欧几里得几何研究曲率为零的二维空间下状况,它并未对点、直线、平面、空间给出定义,而是通过公理来描述点线面的关系。 欧几里得几何中的直线可以看作是一个点的集合,这个集合中的任意一点都在这个集合中的其他任意两点所确定的直线上。

“过两点有且只有一条直线”是欧几里得几何体系中的一条公理,“有且只有”意即“确定”,即两点确定一直线。

英语百科

Line (geometry) 直线

(重定向自Mathematical line)
The red and blue lines on this graph have the same slope (gradient); the red and green lines have the same y-inte****t (cross the y-axis at the same place).
三条直线:红线与蓝线有相同的斜率, 红线与绿线有相同的截距
。
Representación de un segmento de recta.

The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth. Lines are an idealization of such objects. Until the 17th century, lines were defined in this manner: "The [straight or curved] line is the first species of quantity, which has only one dimension, namely length, without any width nor depth, and is nothing else than the flow or run of the point which […] will leave from its imaginary moving some vestige in length, exempt of any width. […] The straight line is that which is equally extended between its points."

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