I need to find the parametrization of the intersection for the two surfaces defined by these equations:
$x^2+y^2=25$ and $z^2+y^2=25$
I'm not quite sure how to do it. What is the best way?
2026-04-13 21:05:44.1776114344
Find the parametrization of the intersection of two surfaces
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You see the union of two circles $x=z, x^2+y^2=25$ and $x=-z, x^2+y^2=25$
A good parametrization is for instance for the first circle, $x= 5 \cos(u), y=5 \sin(u), z= 5 \cos(u)$ and $x= 5 \cos(u), y=5 \sin(u), z= -5 \cos(u)$ for the second.