Pythagorean theorem (generalized)
GPTKB entity
AI-created image
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:generalized_Pythagorean_theorem
|
| gptkbp:appliesTo |
gptkb:n-dimensional_Euclidean_space
orthogonal vectors right simplices |
| gptkbp:category |
gptkb:algebra
gptkb:geometry |
| gptkbp:form |
d^2 = (x_1 - x_2)^2 + (y_1 - y_2)^2 + ... + (z_1 - z_2)^2
|
| gptkbp:generalizes |
gptkb:Pythagorean_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pythagorean theorem (generalized)
|
| gptkbp:relatedTo |
gptkb:Euclidean_geometry
gptkb:law_of_cosines |
| gptkbp:state |
the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other sides in higher dimensions
|
| gptkbp:usedIn |
gptkb:vector_mathematics
analytic geometry distance formula |
| gptkbp:bfsParent |
gptkb:Hilbert_space
|
| gptkbp:bfsLayer |
4
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