Glossary entry

English term or phrase:

locus

French translation:

lieu (géométrique)

Aug 17, 2009 07:54
15 yrs ago
3 viewers *
English term

locus

GBK English to French Science Mathematics & Statistics
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 sentences:
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)
Proposed translations (French)
3 +2 lieu (géométrique)
Change log

Aug 17, 2009 04:11: changed "Kudoz queue" from "In queue" to "Public"

Aug 17, 2009 07:54: changed "Stage" from "Preparation" to "Submission"

Aug 20, 2009 08:54: changed "Stage" from "Submission" to "Selection"

Sep 30, 2009 16:54: changed "Stage" from "Selection" to "Completion"

Proposed translations

+2
54 mins
Selected

lieu (géométrique)

On peut également parler du lieu d'une équation (ensemble des points vérifiant une équation).
Definition from own experience or research:
En géométrie, un lieu est l'ensemble des points vérifiant une propriété.
Example sentences:
L'hyperbole est le lieu des points dont la valeur absolue de la différence des distances à deux points fixes (appelés foyers) est constante. (Cours de mathématiques de 6e)
Objectif : trouver le lieu géométrique du point I lorsque la droite (Δ) pivote autour de F. (Académie Aix Marseille -pédagogie)
Peer comment(s):

agree Fabien Champême
7 days
agree Marcel Gibert
44 days
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4 KudoZ points awarded for this answer.
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