Intersection Of 2 Cylinders

markraz

Full Member
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Feb 19, 2014
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Hi I'm trying to find the result curve of 2 intersecting cylinders
something like this orange curve here:


If I have 2 equations how do I go about doing this?
x^2+y^2 = 2 red

x^2+z^2 = 1 cyan


thanks in advance
 

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What do you mean by "the result curve"? Are you sure it has a reasonable representation?

Have you thought about y^2 - z^2 = 1?
 
What do you mean by "the result curve"? Are you sure it has a reasonable representation?

Have you thought about y^2 - z^2 = 1?

Hi, thanks for the reply. In the attached picture you can see an orange result curve that represents the intersection. How do I find the equation of that?
Thanks

cylcyl.jpg
 
Oh, well, in that case:

What do you mean by "the result curve"? Are you sure it has a reasonable representation?

Have you thought about y^2 - z^2 = 1?
 
Thanks
so the original cylinder equation of y^2 + z^2 = 1 is wrong?? and should be y^2 - z^2 = 1??

maybe this is a better example of what I'm trying to do:

http://faculty.wwu.edu/curgus/Courses/225_201330/225.html

x^2+y^2=2x
x^2+z^2=4


I'm trying to get the "generatrices" of 2 cylinders. I don't have a specific set of cylinders per se.
I'm just trying to understand how this is done in a general case. I scoured the internet but couldn't find an example.
I saw sphere and cylinder, plane and cylinder but no cylinder and cylinder.




thanks
 

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