Properties
- The area between the Witch and its asymptote is four times the area of the fixed circle (i.e., ).
- The volume of revolution of the Witch, about its asymptote, is .
- The centroid of the curve is at
- ,
which is the same as that of the generating circle (diameter = 2a).
Read more about this topic: Witch Of Agnesi
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“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)