an Euler brick, named after Leonhard Euler, is a rectangular cuboid whose edges and face diagonals all have integer lengths. A primitive Euler brick is...

Integration using Euler's formula Euler summation Euler–Boole summation Euler angles defining a rotation in space Euler brick Euler's line – relation between...

integer face diagonals, is called an Euler brick; for example with sides 44, 117, and 240. A perfect cuboid is an Euler brick whose space diagonal is also an...

problem Brahmagupta triangle Congruum Diophantus II.VIII Eisenstein triple Euler brick Heronian triangle Hilbert's theorem 90 Integer triangle Modular arithmetic...

rational part of the (proved) irrational space-diagonal of the related Euler-brick (bc, ca, ab). Trirectangular tetrahedrons with integer legs a , b , c...

Theodorus de Bry (1561–1623) and others. Paul Halcke discovers the smallest Euler brick. January 23 – John Landen, English mathematician (died 1790) August 4...

which all entries are less than 30. Beal conjecture Euler brick Euler's sum of powers conjecture Euler-Rodrigues formula for 3D rotations Fermat cubic Jacobi–Madden...

cannot be extended to a larger complete graph with the same property Euler brick, an integer-distance realization problem in three dimensions Hartsfield...

Robbins pentagon, a cyclic pentagon with integer sides and integer area Euler brick, a cuboid with integer edges and integer face diagonals Tetrahedron § Integer...

particular, exercise 289 on page 256 consists in finding the smallest Euler brick, for which Paul Halcke is most well-known today. This cuboid has sides...