lozengewise

In some churches a very slender shaft with a capital is attached to each angle of the pier, which is disposed lozengewise, the main body of the pier presenting continuous lines of moulding with those of the arch, unbroken by any capital: as in the piers of Bath Abbey Church, rebuilt early in the sixteenth century.

The Principles of Gothic Ecclesiastical Architecture, Elucidated by Question and Answer, 4th ed. Matthew Holbeche Bloxam 1846

Catesby, esquire, lord of the manor, Isabel his wife, and John their son: it consists of a tower encircled with rows of quatrefoils and other decorative embellishment, and finished with crocketed pinnacles at the angles; a nave divided from the north and south aisles by arches within rectangular compartments, the spandrels of which are filled with sunk quatrefoils and foliated panels; these arches spring from piers disposed lozengewise with semicylindrical shafts at the angles; there are no clerestory windows, and the windows of the aisles and chancel have obtusely-pointed four-centred arches.

The Principles of Gothic Ecclesiastical Architecture, Elucidated by Question and Answer, 4th ed. Matthew Holbeche Bloxam 1846