[CROSS a.] The corner of a quadrilateral diagonally opposite to another. At cross-corners with: fig. directly opposite or contrary to. Hence (nonce-wd.) Cross-cornerness.

1

1809–12.  Mar. Edgeworth, Absentee, ix. Set the sea-cale at this corner, and put down the grass cross-corners.

2

1892.  Mrs. Lynn Linton, in New Review, Feb., 225. Private idiosyncrasies which … place them at cross-corners with the rest of their race.

3

1884.  Illustr. Lond. News, 10 May, 442/2. Pondering … on the cross-cornerness of things in general.

4