oeuf.mw

> restart;
with(plots):

ellipse:=(x/2)^2+(y/3)^2=1;
oeuf:=t*(x/2)^2+(y/3)^2=1;

t:=1+0.2*y;
implicitplot([ellipse,oeuf], x=-2.5..2.5, y=-3.5..3.5, thickness=[1,4], color=[black,red],scaling=constrained,gridrefine=4,linestyle=[2,1]);

t:=1/(1-0.2*y);
implicitplot([ellipse,oeuf], x=-2.5..2.5, y=-3.5..3.5, thickness=[1,4], color=[black,blue],scaling=constrained,gridrefine=4,linestyle=[2,1]);

t:=exp(0.2*y);
implicitplot([ellipse,oeuf], x=-2.5..2.5, y=-3.5..3.5, thickness=[1,4], color=[black,green],scaling=constrained,gridrefine=4,linestyle=[2,1]);

implicitplot([subs(t=1+0.2*y,oeuf),subs(t=1/(1-0.2*y),oeuf),subs(t=exp(0.2*y),oeuf)], x=-2.5..2.5, y=-3.5..3.5, thickness=[1,1,1], color=[red,blue,green],scaling=constrained,gridrefine=4,linestyle=[1,1,1]);
 

 

 

 

 

 

 

 

 

`+`(`*`(`/`(1, 4), `*`(`^`(x, 2))), `*`(`/`(1, 9), `*`(`^`(y, 2)))) = 1
`+`(`*`(`/`(1, 4), `*`(t, `*`(`^`(x, 2)))), `*`(`/`(1, 9), `*`(`^`(y, 2)))) = 1
`+`(1, `*`(.2, `*`(y)))
Plot_2d
`/`(1, `*`(`+`(1, `-`(`*`(.2, `*`(y))))))
Plot_2d
exp(`+`(`*`(.2, `*`(y))))
Plot_2d
Plot_2d
 

> restart;
with(plots):

circle:=(x)^2+(y)^2=1;
oeuf:=(1.4^y*1.6*x)^2+(y)^2=1;

implicitplot([circle,oeuf], x=-2.5..2.5, y=-3.5..3.5, thickness=[1,4], color=[black,red],scaling=constrained,gridrefine=4,linestyle=[2,1]);
 

 

 

`+`(`*`(`^`(x, 2)), `*`(`^`(y, 2))) = 1
`+`(`*`(2.56, `*`(`^`(`^`(1.4, y), 2), `*`(`^`(x, 2)))), `*`(`^`(y, 2))) = 1
Plot_2d
 

> r:=(cos(t))^3;
plot(r,t=0..2*Pi,coords=polar,scaling=constrained,thickness=2);
 

 

`*`(`^`(cos(t), 3))
Plot_2d
 

> restart;
with(plots):

oeuf:=y^4+10*x^2*y^2+5*x^4=y;

implicitplot(oeuf, x=-1..1, y=-0.1..1.1,gridrefine=4,scaling=constrained,thickness=2);
 

 

`+`(`*`(`^`(y, 4)), `*`(10, `*`(`^`(x, 2), `*`(`^`(y, 2)))), `*`(5, `*`(`^`(x, 4)))) = y
Plot_2d
 

> restart;
with(plots):

trefle:=(x^2+y^2)^3-4*x^2*y^2;
oeuf:=(x^2+y^2)^3-4*x^2*y^2+0.0001;

implicitplot([trefle,oeuf], x=-3.5..3.5, y=-1.5..10, thickness=[2,1], color=[green,red],scaling=constrained,gridrefine=4,linestyle=[3,1]);



trisextrix:=y^2*(1+x)=x^2*(3-x);
oeuf:=y^2*(1+x)+0.01=x^2*(3-x);

implicitplot([trisextrix,oeuf], x=0..3.5, y=-1.5..1.5, thickness=[1,2], color=[green,red],scaling=constrained,gridrefine=4,linestyle=[3,1]);



Lemniskate:=(x^2+y^2)^2-(x^2-y^2)=0;
oeuf:=(x^2+y^2)^2-(x^2-y^2)+0.01=0;

implicitplot([Lemniskate,oeuf], x=-1.5..1.5, y=-1.5..1.5, thickness=[1,2], color=[green,red],scaling=constrained,gridrefine=4,linestyle=[3,1]);



Conchoid:=0.5*(x+0.5)*(x^2+y^2)-x^2=0;
oeuf:=0.5*(x+0.5)*(x^2+y^2)-x^2+0.02=0;

implicitplot([Conchoid,oeuf], x=0..3.5, y=-1.5..1.5, thickness=[1,2], color=[green,red],scaling=constrained,gridrefine=4,linestyle=[3,1]);
 

 

 

 

 

 

 

 

 

 

 

 

`+`(`*`(`^`(`+`(`*`(`^`(x, 2)), `*`(`^`(y, 2))), 3)), `-`(`*`(4, `*`(`^`(x, 2), `*`(`^`(y, 2))))))
`+`(`*`(`^`(`+`(`*`(`^`(x, 2)), `*`(`^`(y, 2))), 3)), `-`(`*`(4, `*`(`^`(x, 2), `*`(`^`(y, 2))))), 0.1e-3)
Plot_2d
`*`(`^`(y, 2), `*`(`+`(1, x))) = `*`(`^`(x, 2), `*`(`+`(3, `-`(x))))
`+`(`*`(`^`(y, 2), `*`(`+`(1, x))), 0.1e-1) = `*`(`^`(x, 2), `*`(`+`(3, `-`(x))))
Plot_2d
`+`(`*`(`^`(`+`(`*`(`^`(x, 2)), `*`(`^`(y, 2))), 2)), `-`(`*`(`^`(x, 2))), `*`(`^`(y, 2))) = 0
`+`(`*`(`^`(`+`(`*`(`^`(x, 2)), `*`(`^`(y, 2))), 2)), `-`(`*`(`^`(x, 2))), `*`(`^`(y, 2)), 0.1e-1) = 0
Plot_2d
`+`(`*`(.5, `*`(`+`(x, .5), `*`(`+`(`*`(`^`(x, 2)), `*`(`^`(y, 2)))))), `-`(`*`(`^`(x, 2)))) = 0
`+`(`*`(.5, `*`(`+`(x, .5), `*`(`+`(`*`(`^`(x, 2)), `*`(`^`(y, 2)))))), `-`(`*`(`^`(x, 2))), 0.2e-1) = 0
Plot_2d
 

> restart;
with(plots):

oeuf:= y^2=abs(sin(x)+0.1*sin(2*x));

implicitplot(oeuf, x=-5..5, y=-1.1..1.1,gridrefine=4,scaling=constrained,thickness=2);
 

 

`*`(`^`(y, 2)) = abs(`+`(sin(x), `*`(.1, `*`(sin(`+`(`*`(2, `*`(x))))))))
Plot_2d
 

> restart;
with(plots):

oeuf:=(a^2+m^2*c^2-2*c*m^2*y+(m^2-1)*(y^2+x^2))^2-4*a^2*m^2*((y-c)^2+x^2)=0;

implicitplot([subs({a=(12),c=5,m=2},oeuf),subs({a=(12),c=5,m=2.2},oeuf)], x=-3.5..3.5, y=-0.8..10, thickness=[2,2], color=[blue,red],scaling=constrained,gridrefine=4,linestyle=[1,1]);


 

 

`+`(`*`(`^`(`+`(`*`(`^`(a, 2)), `*`(`^`(m, 2), `*`(`^`(c, 2))), `-`(`*`(2, `*`(c, `*`(`^`(m, 2), `*`(y))))), `*`(`+`(`*`(`^`(m, 2)), `-`(1)), `*`(`+`(`*`(`^`(y, 2)), `*`(`^`(x, 2)))))), 2)), `-`(`*`(4...
Plot_2d
 

>