On an apparent contradiction in the doctrine of curved lines
Euler discusses the question of whether nine points determine a unique cubic curve. He also considers the same question for 14 points and quartic curves, 20 points and quintic curves, and so on. Euler solves the problem using a system of equations.
Original Source Citation
Mémoires de l'académie des sciences de Berlin, Volume 4, pp. 219-233.
Opera Omnia Citation
Series 1, Volume 26, pp.33-45.