English Title

An algebraic problem of finding four numbers with the sum of the three others

Authors

Leonhard Euler

Catalog Number

ENE808

Enestrom Number

808

Original Language

Latin

Published as

Collection article

Published Date

1862

Content Summary

Euler considers the following problem: Given a, b, c, d with a = v(x+y+z), b = x(v+y+z), c = y(v+x+z), and d = z(v+x+y), determine v, x, y, and z. He changes variables to arrive at four "nice" equations, each in terms of a new variable u and the constants a, b, c, and d.

Original Source Citation

Opera Postuma, Volume 1, pp. 282-287.

Opera Omnia Citation

Series 1, Volume 6, pp.494-503.

Record Created

2018-09-25

Included in

Mathematics Commons

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