Assertion: tetrahedron | /r/HasProperty | derived in this way
Facets:
value: from an identity of leonhard euler
type: OTHER
Source sentences:
text: For instance, the tetrahedron derived in this way from an identity of Leonhard Euler, 59 4 + 158 4 = 133 4 + 134 4 {\displaystyle 59^{4}+158^{4}=133^{4}+134^{4}} , has a {\displaystyle a} , b {\displaystyle b} , and c {\displaystyle c} equal to 386678175, 332273368, and 379083360, with the hypotenuse of right triangle a b {\displaystyle ab} equal to 509828993, the hypotenuse of right triangle b c {\displaystyle bc} equal to 504093032, and the hypotenuse of the remaining two sides equal to 635318657.