>That can't be solved with the parametric form alone.
That's not strictly true - you could choose a numerical algorithm like Newton-Raphson.
3D B-rep modelers will typically solve x,y,z on curve that way because many of the curves won't have an implicit form of any reasonable low degree. In fact, some of them won't have an implicit form at all.
That's not strictly true - you could choose a numerical algorithm like Newton-Raphson.
3D B-rep modelers will typically solve x,y,z on curve that way because many of the curves won't have an implicit form of any reasonable low degree. In fact, some of them won't have an implicit form at all.