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A Jordan curve of positive area

1903
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Transactions of the American Mathematical Society
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The most general continuous plane curve without multiple points may be defined as a set of points which can be referred in a one-to-one manner and continuously to the points of a segment of a right line, inclusive of the extremities of the segment, if the curve is not closed ; and to the points of the circumference of a circle, if the curve is closed.f Such a curve is called a Jordan curve. It may be represented analytically by the equations x=(t), y = yjr(t), where , yjr are single valued

doi:10.1090/s0002-9947-1903-1500628-5
fatcat:bidy5rfusrcxfmbdqds5t7zyue