An individual relation
, element of a set
, and point of a geometry
, etc., will be denoted by italic symbols; and
the corresponding sets of relations, elements and points will be denoted by boldface italic symbols:
,
, and
,
respectively. By so designating the points of a geometry, we are negating their homogeneity; so all meaningful geometric
assertions must be invariant under any permutation of these names. Naming is just a particular case of coordinatization,
discussed below.