Altair slc python sympy projection of two paraboloid surfaces onto the xy plane
This is a very simple demonstration, sympy has very powerful linear and non-linear capabilities.
too log to post on a listserve, see github
https://github.com/rogerjdeangelis/utl-altair-slc-python-sympy-projection-of-two-paraboloid-surfaces-onto-the-xy-plane
Show that the intersection of these two surfaces is a circle in the xy plane
z1 = 2x**2 + 3y**2
z2 = 5 - 3x**2 - 2*y**2
We will show that the projection of the intersection of these two paraboloids is a circle AI
in the xy plane. This is a very simple example of a general technique.
pyhton macros
https://github.com/rogerjdeangelis/utl-macros-used-in-many-of-rogerjdeangelis-repositories
related github
https://github.com/rogerjdeangelis/utl-python-sympy-projection-of-the-intersection-of-two-parabolic-surfaces-onto-the-xy-plane-AI
see
https://stackoverflow.com/questions/45130525/find-the-equation-y-yx-from-the-intersection-of-two-surfaces-z-zx-y
https://stackoverflow.com/users/6655984/alex