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locus

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07:55 Aug 17, 2009
English to Czech 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
5geometrický útvar (dříve geometrické místo bodů)
Ivan Šimerka


Discussion entries: 1





  

Translations offered


3 days 5 hrs   confidence: Answerer confidence 5/5
geometrický útvar (dříve geometrické místo bodů)


Definition from own experience or research:
Množina všech bodů dané vlastnosti je geometrický útvar, pro který platí:
každý jeho bod má tuto vlastnost
žádný jiný bod tuto vlastnost nemá
Dříve se používal název "geometrické místo bodů"geometrické místo bodů je množina bodů s určitou vlastností

Example sentence(s):
  • str.14 geometrical locus= geometrické místo bodů - Anglicko-český matematický slovník  
  • Množina všech bodů dané vlastnosti je geometrický útvar, pro který platí: každý jeho bod má tuto vlastnost žádný jiný bod tuto vlastnost nemá Dříve se používal název "geometrické místo bodů" - Wikipedia  
Ivan Šimerka
Czech Republic
Local time: 07:42
Native speaker of: Native in CzechCzech
PRO pts in category: 12
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