Pythagorean theorem (generalized)

GPTKB entity

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