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consists of the points such that the product of their distances from two the two points (√2, 0), (−√2, 0) is the constant 1/2. The length ''r'' of the arc from the origin to a point at distance ''s'' from the origin is given by
:<math> r=\int_0^s\frac{dt}{\sqrt{1-t^4}}</math>
In other words, the sine lemniscatic function gives the distance from the origin as a function of the arc length.
==See also==
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