Hiya. Probably I have either done something wrong or this is a precision 
issue I should know about if I programmed. Please excuse.
http://sagenb.org/home/pub/4706

I wanted to plot the level curves of a f(x,y,z)=sqrt(x^2-z) for C=0, 1, -1, 
2, -2.
So I typed in 
implicit_plot3d(sqrt(x^2-z)==0, (x,-2,2), (y,-5,5), (z,-4,4), opacity=.5)
and nothing was graphed. I got no error message.

After trying several changes, I gave up and did:
implicit_plot3d(x^2-z==(0)^2, (x,-2,2), (y,-5,5), (z,-4,4), opacity=.5) 
and got my "elongated parabola" (published and sent off the reply).

Now after experimenting I find that: C=1, C=2 are no problem.  (GRAPH 2) 
In GRAPH 3, one can see:  
For C=0  no graph, C=.1 a tiny piece, C=.2 a couple of slivers, C=.3 a few 
more slivers and by C=.5 one gets the graph.

BTW: I tried changing the z values (to make the argument always positive) 
to no effect. 

Question: Is there a way to know what graphs will plot and what won't?  
Thank-you for your help. Linda


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