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I am trying to make a projection on the xy-plane of the intersection of the surfaces from the functions: 1 + x^2 - y^2, 3 Log[1 + x^2].

Intersection of surfaces

Thanks.

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    $\begingroup$ Please post copyable code so that users can easily play with it. $\endgroup$ – Henrik Schumacher Apr 22 '18 at 22:01
  • $\begingroup$ @HenrikSchumacher sorry this was my first time posting a question, I´ll do it in the next. $\endgroup$ – Damian Muciño Apr 23 '18 at 17:23
  • $\begingroup$ Mkay... I'll let you off with that... - this time. ;) $\endgroup$ – Henrik Schumacher Apr 23 '18 at 17:25
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Using geometric region functions:

RegionPlot@
 ImplicitRegion[
   1 + x^2 - y^2 == 3 Log[1 + x^2],
   {{x, -1.5, 1.5}, {y, -1.5, 1.5}}
 ]

Mathematica graphics

See also: Plotting implicitly-defined space curves for other interesting approaches.

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  • $\begingroup$ What do you think about closing this topic as a duplicate of mathematica.stackexchange.com/q/34668/5478 and moving your answer there for completeness? $\endgroup$ – Kuba Apr 23 '18 at 8:48
  • $\begingroup$ @Kuba I agree, your suggestion sounds reasonable to me. $\endgroup$ – MarcoB Apr 23 '18 at 14:09
  • $\begingroup$ kuba @MarcoB seems like a good idea, I´ll do it. $\endgroup$ – Damian Muciño Apr 23 '18 at 17:27
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ContourPlot[1+x^2-y^2==3Log[1+x^2],{x,-1.5,1.5},{y,-1.5,1.5}]
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