Elliptical cylinder surface area | Analytic geometryI have to find the equation of a Cylindrical...

termegolz6
Answered
2022-07-19
Elliptical cylinder surface area | Analytic geometry
I have to find the equation of a Cylindrical surface area. This area has the generating lines parallel to the axis z. The directrix is an ellipse on the floor Oxy with center C(1;3;0) and vertices A(1;-1;0), B(-1;3;0).
I tried to make a system with:
- // As the distance from the center and the B vertex is 2
- changed X and Y values with those of the vertex A first
- and then with those of the vertex B.
I now have a system of 3 equations with variables a and b, but they're squared only, as they're supposed to be in an ellipse.
I tried to solve it but it doesn't look good as the solution has parameters xand y not squared as well.
Solution: