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How to draw the four of geometry of conic sections from TikZ, circle parabola ellipse and hyperbola. I want 3D bi-cones figure like this:conic sections for my student in analytic geometry.

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Welcome to TeX.SX. Questions about how to draw specific graphics that just post an image of the desired result are really not reasonable questions to ask on the site. Please post a minimal compilable document showing what you've tried to produce the image and then people will be happy to help you with any specific problems you may have. See minimal working example (MWE) for what needs to go into such a document. –  Tobi Aug 14 '13 at 10:20
    
In addition to the above comments, looking in the pgfmanual will give you direct constructions for at least three of these. –  Andrew Swann Aug 14 '13 at 10:47
    
Related: tex.stackexchange.com/questions/10001/… –  Torbjørn T. Aug 14 '13 at 11:07
    
to any close voters: based on the thousands of other tikz questions we have had on this site that have shown the same amount of effort and have been upvoted highly, I propose we leave this question open. –  cmhughes Aug 14 '13 at 12:52
    
Could you edit your question to show what you've tried so far and what aspect of the figure you're struggling with? –  Jake Aug 15 '13 at 8:49

1 Answer 1

Just for typing exercise with PSTricks.

\documentclass[pstricks,border=12pt]{standalone}
\usepackage{pst-plot}
\psset{plotpoints=100,algebraic,polarplot}
\pstVerb{/LL 2 def}
\begin{document}
\multido{\r=.0+.1}{20}{%
\begin{pspicture}[showgrid](-6,-6)(6,6)
    \pstVerb{/EE \r\space def}%
    \psplot{0}{TwoPi}{LL/(1-EE*cos(x))}
\end{pspicture}}
\end{document}

enter image description here

Edit:

PSTricks' blog has a special page about conic section in 3D, visit the blog here but it was written in French.

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I guess the OP wants to draw the origin of these curve in intersections … like this: upload.wikimedia.org/wikipedia/commons/thumb/1/11/… –  Tobi Aug 14 '13 at 15:16
    
@Tobi: I think so. :-) –  Who is crazy first Aug 14 '13 at 15:17
    
Thanks for your pst-plot code and suggest blog, I want TikZ or pgfplot for my student in analytic geometry (output same in the blog). Thanks –  somkiat_t Aug 15 '13 at 0:17
    
I want 3D bi-cones figure like this:!lh6.ggpht.com/-QlPR2LJwMIo/SwG06HzEfcI/AAAAAAAAAEA/Pp7RaURjYXg/… –  somkiat_t Aug 15 '13 at 5:01
1  
@somkiat_t: You should edit your question to include that information (and really, you should have already specified that when you first asked the question). Please also show what you've tried so far and what aspect of the figure you're struggling with. –  Jake Aug 15 '13 at 7:56

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