He studied from 1902 to 1904 at the Imperial and Royal Technical Military Academy (now HTL Vienna) and was a captain in the Austrian army.

Appearances are often, however, deceptive, and in this case the solid imperturbable exterior hid a considerable amount of frustration resulting from the disastrous course of the First World War.

As so many German and Austrian ex-service men, Weitzenböck became a hard-core revanchist, and an implacable enemy of France.

Weitzenböck was elected member of the Royal Netherlands Academy of Arts and Sciences (KNAW) in May 1924, but suspended in May 1945 because of his attitude during the war.

In 1923 Weitzenböck published a modern monograph on the theory of invariants on manifolds that included tensor calculus.