English Title
An algebraic problem that is notable for some quite extraordinary relations
Enestrom Number
407
Fuss Index
83
Original Language
Latin
Content Summary
Eneström says that this work contains orthogonality conditions for rectangular corrdinates in space. He also says that Euler will express the coefficients of linear homogeneous transformations that let a sum of n square numbers remain constant using trigonometric functions for n = 3, 4, and 5, and also using rational parametric functions for n = 3 and 4.
Published as
Journal article
Published Date
1771
Written Date
1770
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 15, pp. 75-106.
Opera Omnia Citation
Series 1, Volume 6, pp.287-315.
Record Created
2018-09-25
