# simple closed curve

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Related to simple closed curve: convex polygon, polygon

## simple closed curve

n.
A curve, such as a circle, that is closed and does not intersect itself. Also called Jordan curve.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 simple closed curve - a closed curve that does not intersect itselfJordan curveclosed curve - a curve (such as a circle) having no endpointsloop - anything with a round or oval shape (formed by a curve that is closed and does not intersect itself)
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While not mentioned by Holditch, the proof of the theorem requires an assumption that the chord be short enough that the traced locus is a simple closed curve .
Taking CRH380A, CRH380B, CRH380C, CRH380D as research objects, the paper extracts ten designing elements from each model to make a simple closed curve that expressed by the point set.
Define G [equivalent to] {[gamma] | [gamma] is a [C.sup.2] simple closed curve and tangentially graph-like for r = r}.
The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve, explains Meziani (mathematics, Florida International U., Miami).
Here X refers to the polynomial hull of the compact set X C [C.sup.n.] In [A14] he showed that if IF is a rectifiable simple closed curve, then [gamma] \ [gamma] has at most one global branch, and [gamma] \ [gamma] has finite area.

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