Definition of Jordan curve
1. Noun. A closed curve that does not intersect itself.
Jordan Curve Pictures
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Lexicographical Neighbors of Jordan Curve
Literary usage of Jordan curve
Below you will find example usage of this term as found in modern and/or classical literature:
1. Lectures on the Theory of Functions of Real Variables by James Pierpont (1912)
"Л jordan curve J is a ... The first part of 4 may be regarded as a geometrical definition of a jordan curve. The image of a segment of the interval T or of ..."
2. The Foundations of Geometry by David Hilbert (1902)
"We shall assume in the present investigation that it is traversed in the same sense as the original jordan curve, when we apply a transformation of the ..."
3. A History of Mathematics by Florian Cajori (1919)
"222, define a "jordan curve" as "a plane set of points which can be brought into ... A circle is a closed jordan curve. Jordan asked the question, ..."
4. Bulletin of the Philosophical Society of Washington by Philosophical Society of Washington (1906)
"By a jordan curve is understood a curve free from double points which is continuous inclusive of its end points. If such a curve is closed, its interior is ..."
5. American Journal of Mathematics by Johns Hopkins University, American Mathematical Society (1919)
"A point-set M is a region if and only if M — I or M = I — P where / is the interior of some jordan curve and P is a point in /. ..."
6. Geometry of Riemannian Spaces by Elie Cartan (1983)
"It remains to prove that this curve is a geodesic, consequently admitting at each point a continuously variable tangent. Let us take on the jordan curve a ..."