Find the area of the loop bounded
by the
Folium of Descartes:
____________
Please click on the thumbnail image
below to
see an enlarged view of these equations.
"Cogito ergo sum"
( I think, therefore I am.)

The Folium of Descartes
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Curve Bank Home
Biographical Sketch
Area of the Loop
Many famous curves have names
from nature.
"Folium" means leaf. "Cissoid" means ivy shaped. "Conchoid"
implies the shape of a sea shell. "Petal" and "Rose" are more
obvious
in English.

This section . . . .

Move the mouse over
this line.
The slant asymptote is at
t
= 
1.


A Brief Listing of
references that should
be in most university libraries.

Bell, E. T., Men of
Mathematics, Chapter
3 in various editions and publishers. Bell's essay entitled Descartes:
Gentleman, Soldier, and Mathematician is a wonderfully written
description
of a "particularly full and interesting life." 
Yates, R.
C., Curves and
their Properties, NCTM, 1952, pp. 98  99. Also in A
Handbook
on Curves and their Properties, various publishers including the
NCTM. 
