Editing Euler brick (section)

== Examples ==
The smallest Euler brick, discovered by [[Paul Halcke]] in 1719, has edges {{math|(''a'', ''b'', ''c'') <nowiki>=</nowiki> (44, 117, 240)}} and face diagonals {{math|(''d'', ''e'', ''f'' ) <nowiki>=</nowiki> (125, 244, 267)}}.<ref>''[https://books.google.com/books?id=S8SBBRNbj6cC&dq=smallest+Euler+brick%2C+discovered+by+Paul+Halcke&pg=PT219 Visions of Infinity: The Great Mathematical Problems]'' By Ian Stewart, Chapter 17</ref> Some other small primitive solutions, given as edges {{math|(''a'', ''b'', ''c'')}} — face diagonals {{math|(''d'', ''e'', ''f'')}}, are below:
[[File:Euler_brick_examples.svg|thumb|400px|All five primitive Euler bricks with dimensions under 1000]]
:{| style="border-collapse:collapse;text-align:right;white-space:nowrap;"
|(|| 85,|| 132,|| 720||) — (|| 157,|| 725,|| 732||)
|-
|(||140,|| 480,|| 693||) — (|| 500,|| 707,|| 843||)
|-
|(||160,|| 231,|| 792||) — (|| 281,|| 808,|| 825||)
|-
|(||187,||1020,||1584||) — (||1037,||1595,||1884||)
|-
|(||195,|| 748,||6336||) — (|| 773,||6339,||6380||)
|-
|(||240,|| 252,|| 275||) — (|| 348,|| 365,|| 373||)
|-
|(||429,|| 880,||2340||) — (|| 979,||2379,||2500||)
|-
|(||495,||4888,||8160||) — (||4913,||8175,||9512||)
|-
|(||528,||5796,||6325||) — (||5820,||6347,||8579||)
|}