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WITCH OF AGNESI

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Originally appearing in Volume V28, Page 758 of the 1911 Encyclopedia Britannica.
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See also:

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

End of Article: WITCH OF AGNESI

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