(One should keep in mind that in Grassmann's day, the only axiomatic theory was Euclidean geometry, and the general notion of an abstract algebra had yet to be defined.)
(Convén non esquecer que nos tempos de Grassmann a única teoría axiomática dispoñíbel era a xeometría euclidiana, e que a noción xeral de álxebra abstracta aínda non fora definida.)