But in any case proofs were needed; he had waited a whole month for them and grew more impatient the longer he waited.
This museum is full of proofs of the utter falsity of their views.
Of course mathematical proofs do not have personal characters.
His proofs are generally long and clumsy; this is accounted for in some measure by the absence of symbols and technical terms. Apollonius was ignorant of the directrix of a conic, and although he incidentally discovered the focus of an ellipse and hyperbola, he does not mention the focus of a parabola.
The battle of Sacile, where he fought against the Austrian army of the Archduke John, did not yield proofs of military talent on the part of Eugene or of Macdonald; but on the retreat of the enemy into Austrian territory (owing to the disasters of their main army on the Danube) Eugene's forces pressed them vigorously and finally won an important victory at Raab in the heart of the Austrian empire.