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