Points of intersection between implicit f(x,y,z)=0 and explicit z=z(x,y) surfaces
f(x,y,z): x*cos(x)+y*cos(y)+z*cos(z)=0 and z(x,y)=x^2+y^2
intersection between implicit x*cos(x)+y*cos(y)+z*cos(z)=0 and explicit z(x,y)=x^2+y^2 surfaces
intersection between implicit x*cos(x)+y*cos(y)+z*cos(z)=0 and explicit z(x,y)=x^2-y^2 surfaces
implicit surface: x*cos(x)+y*cos(y)+z*cos(z)=0 x,y∈[-3,3]; z∈[-5,5]
![implicit surface: x*cos(x)+y*cos(y)+z*cos(z)=0 x,y∈[-3,3]; z∈[-5,5]](https://www.geogebra.org/resource/vvsfZ3Jb/eRuHfPFRBpUQgONC/material-vvsfZ3Jb.png)