a. [ L. diagonalis, fr. Gr. &unr_; from to angle; dia` through + &unr_; an angle; perh. akin to E. knee: cf. F. diagonal. ] (Geom.) Joining two not adjacent angles of a quadrilateral or multilateral figure; running across from corner to corner; crossing at an angle with one of the sides. [ 1913 Webster ]
Diagonal bond (Masonry), herringbone work. See Herringbone, a. -- Diagonal built (Shipbuilding), built by forming the outer skin of two layers of planking, making angles of about 45° with the keel, in opposite directions. -- Diagonal cleavage. See under Cleavage. -- Diagonal molding (Arch.), a chevron or zigzag molding. -- Diagonal rib. (Arch.) See Cross-springer. -- Diagonal scale, a scale which consists of a set of parallel lines, with other lines crossing them obliquely, so that their intersections furnish smaller subdivisions of the unit of measure than could be conveniently marked on a plain scale. -- Diagonal stratification. (Geol.) Same as Cross bedding, under Cross, a. [ 1913 Webster ]
(n) (mathematics) a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entry
(adj) connecting two nonadjacent corners of a plane figure or any two corners of a solid that are not in the same face, Example: a diagonal line across the page
(n) changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal), Syn.diagonalisation, Example: the diagonalization of a normal matrix by a unitary transformation
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