# plotting points

How can I show points that I get as the result in line 11? I have that two circles, but I do not know how to get points on the graph.

var('x, y')
ft = (x+1)^2-(y)^2-1
f=circle((-1,0), 1)
p = plot(f,-5,5, thickness=2)

@interact
def _(r=(1..4)):
g = circle((1,0), r)
pt = plot(g,-5, 5, color='green', thickness=2)
gt= (x-1)^2+ y^2-r
pot = solve([ft,gt], x, y)
html('$tocke=\;%s$'%latex(pot))
show(  p + pt, ymin = -5, ymax = 4)

edit retag close merge delete

also I don't know why I get four, and not two solutions for points

Sort by » oldest newest most voted var('x, y')
ft = (x+1)^2-(y)^2-1
f=circle((-1,0), 1,thickness=2)

@interact
def _(r=(1..4)):
g = circle((1,0), r,color='green', thickness=2)
gt= (x-1)^2+ y^2-r
pot = solve([ft,gt], x, y,solution_dict=True)
P = []
for L in pot:
try:
P.append(point((L[x],L[y]),color='red',pointsize=20))
except:
pass
html('$tocke=\;%s$'%latex(pot))
show(  f + g + sum(P) , ymin = -5, ymax = 4,aspect_ratio=1)

more

I made some changes (that I did wrong in pointing out circles), and now your idea for points works perfectly. thank you