locus

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04:54 Aug 17, 2009

English to Japanese 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

軌跡

Yuichi Sakuma

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26 mins confidence:

軌跡

Definition from Wikipedia:
軌跡
出典: フリー百科事典『ウィキペディア（Wikipedia）』
移動: メニュー, 検索
軌跡（きせき, locus）とは、車などによってできた車輪の跡。そこから転じて先人の行動・精神的な発展の跡を指すこともある。

Example sentence(s):

サイクロイドは「直線上を転がる円の一点が描く軌跡」である。 - Wikipedia

Yuichi Sakuma
Local time: 07:23
Native speaker of: Japanese

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