locus

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07:55 Aug 17, 2009
English to Bulgarian translations [PRO]
Science - Mathematics & Statistics
English term or phrase: locus
Definition from Wikipedia:
In mathematics, a locus (Latin for "place", plural loci) is a collection of points which share a property. The term locus is usually used of a condition which defines a continuous figure or figures, that is, a curve. For example, in two-dimensional space a line is the locus of points equidistant from two fixed points or from two parallel lines.

Example sentence(s):
  • We let a control point vary while the rest is held fixed. We show that the locus of the moving control point that yields a zero curvature point on the curve is a developable surface, the regression curve of which is the locus that guarantees a cusp on the curve ACM, Inc.
  • So far, we have thought of an elliptic curve as defined by its equation. However, a specific equation is not unique for determining a locus of points. Simple substitutions such as x' = 2x obviously lead to different equations with the same locus of points that satisfy the equation. Substitutions like this amount to a change of coordinate system. Charles Daney
  • This curve is called the locus of the equation. The locus of an equation is a curve containing those points, and only those points, whose coordinates satisfy the equation. tpub.com
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Summary of translations provided
5 +1геометрично място на точки
Andrei Vrabtchev


  

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23 mins   confidence: Answerer confidence 5/5 peer agreement (net): +1
геометрично място на точки


Definition from http://www.babylon.com:
Локус в математиката представлява геометрично място на точки

Example sentence(s):
  • Геометрично място на точки (ГМТ) се нарича множеството от всички точки в пространството, отговарящи на определени условия. Често това е сечение на две множества от точки. Някои геометрични фигури са дефинирани като ГМТ. Например окръжност е: ГМТ, лежащи на равни разстояния от дадена точка в дадена равнина. Друг пример: права е ГМТ, лежащи едновременно на две пресичащи се равнини (тук едната равнина е едно множество от точки, другата е друго, а правата е сечението на тези множества, тоест ГМТ, които лежат едновременно на двете равнини или са членове едновременно и на двете множества). - Wikipedia  
  • Application of the GEONExT- based dynamic mathematical patterns for drawing a locus loci: The aim of this paper is to demonstrate the possibilities of GEONExT for drawing a locus loci – example (strofoida); GEONExT capabilities for free dynamic plane constructions – examples. ВЪВЕДЕНИЕ В класическата Евклидова геометрия проблемът с построяване на Геометрични места на точки (ГМТ) е един от сложните и абстрактни въпроси. Той изисква фантазия, пространствено въображение и мислене. Продуктът GEONExT чрез своите свойства – “сянка на обект” и “плъзгане на точка” дава възможност за елегантно и сравнително лесно построяване на ГМТ. - http://conf.ru.acad.bg/bg/docs/cp/9/9-31  
Andrei Vrabtchev
Bulgaria
Local time: 07:59
Native speaker of: Native in BulgarianBulgarian, Native in EnglishEnglish
PRO pts in category: 4

Votes in favor of/against selecting this as the best translation of the term asked
Yes  lk_kovachev
150 days
  -> thank you!
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