English Title

On an apparent contradiction in the doctrine of curved lines

Authors

Leonhard Euler

Enestrom Number

147

Fuss Index

344

Original Language

French

Published as

Journal article

Published Date

1750

Written Date

1747

Content Summary

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.

Record Created

2018-09-25

Included in

Mathematics Commons

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