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词汇 Equidistant points
分类 英语词汇 英语翻译词典
释义

Equidistant points

原声例句
一双蓝蓝的眼睛(下)

There was no wall, the division between God's Acre and Lord Luxellian's being marked only by a few square stones set at equidistant points.

没有围墙,上帝的领地和卢克塞利安勋爵之间的分隔只有几块等距放置的方形石块。

英语百科

Equidistant set

Animation showing the equidistant set of two singleton sets in a Euclidean plane.
Image showing equidistant set of two straight lines in a Euclidean plane.
Animation showing the generation of parabola as an equidistant set of a singleton point and a straight line.
Animation showing the generation of an ellipse as the equidistant set of two circles.

In mathematics, an equidistant set (also called a midset, or a bisector) is a set each of whose elements has the same distance (measured using some appropriate distance function) from two or more sets. The equidistant set of two singleton sets in the Euclidean plane is the perpendicular bisector of the segment joining the two sets. The conic sections can also be realized as equidistant sets. This property of conics has been used to generalize the notion of conic sections. The concept of equidistant set is used to define frontiers in territorial domain controversies. For instance, the United Nations Convention on the Law of the Sea (Article 15) establishes that, in absence of any previous agreement, the delimitation of the territorial sea between countries occurs exactly on the median line every point of which is equidistant of the nearest points to each country. Though the usage of the terminology is quite old, the study of the properties of equidistant sets as mathematical objects was initiated only in 1970's.

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