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07:54 Aug 17, 2009
English to German 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
Definition: Der Begriff „geometrischer Ort“ (Plural: „geometrische Örter“) bezeichnet die Menge aller Punkte mit einer bestimmten geometrischen Eigenschaft. So ist beispielsweise im zweidimensionalen Raum der geometrische Ort aller Punkte, die jeweils zu zwei gegebenen Punkten A und B denselben Abstand haben, die Mittelsenkrechte der Strecke AB.
z.B. "der geometrische Ort aller Punkte", die eine bestimmte Bedingung erfüllen
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geometrischer Ort
Definition from Wikipedia, Brockhaus, own experience: Der Begriff „geometrischer Ort“ (Plural: „geometrische Örter“) bezeichnet die Menge aller Punkte mit einer bestimmten geometrischen Eigenschaft. So ist beispielsweise im zweidimensionalen Raum der geometrische Ort aller Punkte, die jeweils zu zwei gegebenen Punkten A und B denselben Abstand haben, die Mittelsenkrechte der Strecke AB.
Example sentence(s):
Der geometrische Ort aller Punkte P, für die die Summe der Entfernungen von zwei festen Punkten, den Brennpunkten F1 und F2, konstant ist, ist eine Ellipse. - Vortrag TU Dresden
In der Planimetrie sind die geometrischen Örter Linien, daher werden sie auch geometrische Ortslinien genannt. In der Stereometrie sind die geometrischen Örter Flächen. - Vieweg Handbuch Elektrotechnik
Tobias Ernst Local time: 13:08 Native speaker of: German PRO pts in category: 27
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