E147 -- Sur un contradiction apparente dans la doctrine des lignes courbes

(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.

According to C. G. J. Jacobi, a treatise with this title was presented to the Berlin Academy on October 12, 1747.

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