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双叶曲线[Bifolium]

   ∑〖数学〗2004-10-10 14:24

The bifolium is a folium with b = 0. The bifolium is a quartic curve and is given by the implicit equation is
(1)

and the polar equation
(2)

The bifolium has area
(3)

(4)

(5)

Its arc length is
(6)

(7)

(8)

The curvature is
(9)

(10)

The bifolium is the pedal curve of the deltoid where the pedal point is the midpoint of one of the three curved sides.

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