The author shows that the system characterized by
\(x(t) = a_1 t^2 + b_1 t + c_1\)
\(y(t) = a_2 t^2 + b_2 t + c_2 \)
\(z(t) = a_3 t^2 + b_3 t + c_3\)
must lie in a plane. He does this with an illustrative example represented by
\(x(t) = A [t^2, t, 1]^T\)
where \(A\) is a constant \(3 \times 3\) matrix.
