De casibus quibusdam maxime memorabilibus in analysi indeterminata, ubi imprimis insignis usus calculi angulorum in analysi Diophantea ostenditur

Authors

Leonhard Euler

Enestrom Number

515

Fuss Index

56

Original Language

Latin

Content Summary

Euler returns to the problems of E253. Problem 1 is to find four rational numbers x, y, z, and v for which x⁴ + y⁴ + z⁴ – 2xxyy – 2xxzz – 2yyzz + 2xxvv + 2yyvv + 2zzvv + v⁴ = 0. He finds several solutions, the first being x=39, v=12, y=20, and z=25.

Published as

Journal article

Published Date

1781

Written Date

1780

Original Source Citation

Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 1778: II, pp. 85-110.

Opera Omnia Citation

Series 1, Volume 3, pp.429-452.

Record Created

2018-09-25