Hi,
I am new to this list and also to sage, which seems to be a really
great package for a physics student.
I currently have a problem: I have an implicit equation of two
variables defining a curve in the plane.
What I would like to do is to generate an array of solutions that I
can then plug into a transformation:
f: |R^2 -> |R^2
so I can look at how the curve transforms under f.
So far I have been able to plot the curve with implicit_plot, but I
have not been able to find out whether there exists some way to
extract the point data from a graph generated like this.
var('B1,B2,A,C')
B1=-1
B2=-1
A=1
C=1
f(x1,x2) = A*(x1^2 + x2^2) + 2*(B1*x1 + B2*x2) + C
#j1(x1,x2)= x1/(x1^2+x2^2)
#j2(x1,x2)= -x2/(x1^2 + x2^2)
p=implicit_plot(f,(-1,3),(-1,3))
p.show(aspect_ratio=1)
I am aware that the solutions to my equation are very simple (circles
for A!=0 or lines for A==0), but I would like to come up with a
solution that also works for more complicated curves.
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