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See also: geometry, a cubic See also: curve invented by Maria Gaetana See also: Agnesi
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It is constructed by the following method: Let See also: AQB be a semicircle of diameter AB, produce MQ the See also: ordinate of Q to P so that MQ : MP :: AM : AB
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Then the locus of P is the See also: witch
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The cartesian equation, if A be taken as origin and AB(=2a) for the See also: axis of x, is xy2=4a2(2a-x)
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The curve consists of one branch entirely to the See also: left of the See also: line x=2a and having the axis of y as an asymptote
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