Any point P may be represented by three signed numbers, usually written (x, y, z) where the coordinate is the perpendicular distance from the plane formed by the other two axes.
任何点P都可以用三个带符号的数表示,通常写作(x, y, z),其中坐标是该点到由另外两个轴所形成的平面的垂直距离。
Often positions are specified by a position vector r which can be expressed in terms of the coordinate values and associated unit vectors.
位置通常由位置矢量 r 表示,该矢量可以表示为坐标值和相关单位矢量的组合。
Although the entire coordinate system can be rotated, the relationship between the axes is fixed in what is called a right-handed coordinate system.
尽管整个坐标系可以旋转,但坐标轴之间的关系在所谓的右手法坐标系中是固定的。
For the display of some kinds of data,it may be convenient to have different scales for the different axes, but for the purpose of mathematical operations with the coordinates, it is necessary for the axes to have the same scales. The term "Cartesian coordinates" is used to describe such systems, and the values of the three coordinates unambiguously locate a point in space. In such a coordinate system you can calculate the distance between two points and perform operations like axis rotations without altering this value.
The distance between any two points in rectangular coordinates can be found from the distance relationship.
矩形坐标系中任意两点之间的距离可通过距离关系确定。
对于显示某些类型的数据来说,可能方便不同轴使用不同的刻度,但为了进行坐标运算,轴必须具有相同的刻度。术语“笛卡尔坐标”用于描述这样的系统,三个坐标的值可以唯一确定空间中的一个点。在这样的坐标系中,你可以计算两点之间的距离,并进行如轴旋转等操作,而不会改变这个值。 |