Fermat's theorem on right triangles
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Fermat's_right_triangle_theorem
|
| gptkbp:field |
number theory
|
| gptkbp:implies |
There are no integer solutions to x^2 + y^2 = z^2 and xy/2 = k^2 for integer k > 0.
|
| gptkbp:provenBy |
gptkb:Pierre_de_Fermat
|
| gptkbp:relatedTo |
gptkb:Diophantine_equations
gptkb:Fermat's_Last_Theorem |
| gptkbp:sentence |
No right triangle with integer sides has an area that is a perfect square.
|
| gptkbp:statedIn |
gptkb:Pierre_de_Fermat
|
| gptkbp:yearStated |
1640s
|
| gptkbp:bfsParent |
gptkb:Fermat's_right_triangle_theorem
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fermat's theorem on right triangles
|