English Title
The solution of a problem about searching for three numbers, of which the sum and not only their product but the sum of their products two apiece, are square numbers
Enestrom Number
270
Fuss Index
61
Original Language
Latin
Archive Notes
According to Jacobi, a treatise with almost the same title appears to have been read to the Berlin Academy on February 27, 1755. According to St. Petersburg Academy records, it was presented to that Academy on March 8, 1756.
Content Summary
Euler wants all of the numbers n(x+y+z), nn(xy+xz+yz) and n3xyz to be squares, where x, y, and z are rational.
Published as
Journal article
Published Date
1763
Written Date
1755
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 8, pp. 64-73.
Opera Omnia Citation
Series 1, Volume 2, pp.519-530.
Record Created
2018-09-25
E270en.pdf (232 kB)
E270en.pdf (232 kB)
