Re: Folium of Descartes

[Muthiah Annamalai]

Giovanni Lovato wrote:
> How can I draw the Folium of Descartes in Octave?
> In Matlab I did:
>
>   
> > > f = sym('x^3-x^2+y^2');
> > > ezplot(f)
> > >       
>
> Various Octave tutorials explain how to draw simple functions in one
> variable, but I can't find a way to draw functions in two (or more)
> variables.
>  I'm a very newbie of Octave (and Matlab too), maybe it's silly
> questions - in this case, sorry :)
>
> Thanks in advance,
> G.L.
>   
If this is what you mean, 
http://mathworld.wolfram.com/FoliumofDescartes.html,
then,

you could do it using,

%parameter
t = linspace(-5,+5,100);
a = 1;
x = 3*a.*t ./ (t.^3 + 1);
y = 3*a.*t.*t ./ (t.^3 + 1);
plot(x,y,'-o;folium of descartes;')


gives a reasonable picture.

Tune 't' for more detailed plot.

-Muthu