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Encyclopedia Britannica - Main :: FLA-FRA |
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FOLIUM , in mathematics
curve invented and discussed byRene Descartes
equation is x3+y3=3axy. The curve is symmetrical about the line
infinite branches asymptotic to the line
loop
. traced by giving m various values in the equations x=3am/ (t+m3), y=3am2 (1+m3), since by eliminating m between these relations the equation to the curve is obtained. Hence it is unicursal (see CURVE). The area
loop
area
and its asymptote, is 3a/2. End of Article: FOLIUM If you wish, you can link directly to this article.
<a href="http://jcsm.org/StudyCenter/Encyclopedia/FLA_FRA/FOLIUM.html"> FOLIUM </a> |
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