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Hermann Osthoff (1847-1909) and Karl Brugmann (1849-1919) were central figures in the circle of German scholars who rejected a doctrinal approach to the study of linguistics. They came to be known as the Neogrammarian school. At the core of their work was the theory that European languages, together with a subset of languages found in central and southern Asia, have a common origin in a single prehistoric language. They called this ancestor Indo-Germanic (known today as Indo-European) and claimed that its descendants are all related to one another by varying degrees of closeness. This six-volume elaboration of this thesis was published between 1878 and 1910. In Volume 3 (1880), Brugmann explains the rules for conjugation and focuses particularly on how the aorist tense in Greek, Italian and Celtic is formed. He also gives an account of the vowels a, e and o.