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locus

Spanish translation: lugar geométrico

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GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
English term or phrase:locus
Spanish translation:lugar geométrico
Entered by: pauligarbarino
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07:54 Aug 17, 2009
English to Spanish 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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lugar geométrico
Definition:
Se denomina lugar geométrico al conjunto de los puntos del plano que satisfacen una determinada propiedad. Dicha propiedad se enuncia habitualmente en términos de distancias a puntos, rectas o circunferencias fijas en el plano y/o en términos del valor de un ángulo.

En muchas ocasiones, los lugares geométricos que satisfacen una propiedad dada son elementos sencillos (una recta, una circunferencia, una curva cónica,...), mientras que en otras ocasiones pueden corresponderse con trazados mucho más complejos.

Ejemplos de lugares geométricos elementales son la mediatriz de un segmento, la bisectriz de un ángulo, una circunferencia, una recta paralela a otra,...

También las curvas cónicas se pueden considerar como lugares geométricos. Así una elipse es el lugar geométrico de la suma de las distancias de un punto a dos dados (los focos) que es constante.
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pauligarbarino
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4 KudoZ points were awarded for this answer



Summary of translations provided
4 +2lugar geométricopauligarbarino


  

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12 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +2
lugar geométrico


Definition from Educared:
Se denomina lugar geométrico al conjunto de los puntos del plano que satisfacen una determinada propiedad. Dicha propiedad se enuncia habitualmente en términos de distancias a puntos, rectas o circunferencias fijas en el plano y/o en términos del valor de un ángulo.

En muchas ocasiones, los lugares geométricos que satisfacen una propiedad dada son elementos sencillos (una recta, una circunferencia, una curva cónica,...), mientras que en otras ocasiones pueden corresponderse con trazados mucho más complejos.

Ejemplos de lugares geométricos elementales son la mediatriz de un segmento, la bisectriz de un ángulo, una circunferencia, una recta paralela a otra,...

También las curvas cónicas se pueden considerar como lugares geométricos. Así una elipse es el lugar geométrico de la suma de las distancias de un punto a dos dados (los focos) que es constante.

Example sentence(s):
  • Cuando se trata de hallar el lugar geométrico de un determinado elemento, lo más apropiado es trazar primero las figuras fijas dadas por el problema, y luego ir trazando en distintas posiciones los elementos variables, hasta que resulte evidente cuál es el lugar geométrico buscado. Luego podremos analizar porqué ese elemento, al cambiar los demás elementos variables, pertenece a una determinada figura. - Matematica  

Explanation:
I'm almost sure this is the correct term for locus since I've studied the topic in Calculus at University.
pauligarbarino
Local time: 12:06
Native speaker of: Native in SpanishSpanish
PRO pts in category: 4

Votes in favor of/against selecting this as the best translation of the term asked
Yes  dpgarat: I agree
2 hrs

Yes  Soledad Caño
2 days16 hrs
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