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49:(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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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
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The study of equidistant sets is more interesting in the case when the background metric space is the
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Animation showing the equidistant set of two singleton sets in a
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Image showing equidistant set of two straight lines in a
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whose elements have the same distance (measured using some appropriate
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323:"On equidistant sets and generalized conics: the old and the new"
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as an equidistant set of a singleton point and a straight line.
379:"Equidistant sets and their connectivity properties"
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Animation showing the generation of one branch of a
321:Mario Ponce, Patricio Santibánez (January 2014).
386:Proceedings of the American Mathematical Society
47:United Nations Convention on the Law of the Sea
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339:10.4169/amer.math.monthly.121.01.018
248:Animation showing the generation of
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377:J. B. Wilker (February 1975).
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413:10 November
362:10 November
18:mathematics
301:References
53:Definition
357:207521114
278:hyperbola
429:Category
289:See also
250:parabola
200:Examples
30:bisector
408:2039763
264:ellipse
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