How to obtain a Lagrange interpolation of the parametric equations (not of the Cartesian equation)?
A lack of technique is present to me in Geogebra.
If I draw in the 2D or 3D coordinate system n points, I need a Lagrange interpolation that Geogebra automatically gives me like this:
But I want to go more in depth because it is not this interpolation that I need: having drawn n points, I therefore have n X corrdata and n Y corrdata (and n Z corrdata if it is in 3D). of which I wish to obtain successively and automatically 2 Lagrange interpolations (3 if it is in 3D) X_Lagrange (t), Y_lagrange (t) (Z_lagrange (t) if it is in 3D) of the following sets of points x_n (t_n, X_n), y_n (t_n, Y_n) (z_n (t_n, Z_n) if it is in 3D) for n varying from 1 to N.
I could do it myself by rewriting all these points depending on t but I am wondering if a technique in Geogebra can do this automatically.