Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
Caesar attempted to free himself from his painful situation by a battle; but Ariovistus did not accept it. Nothing remained for the Roman general but, in spite of his inferior strength, to imitate the movement of the Germans, and to recover his communications by making two legions march past the enemy and take up a position beyond the camp of the Germans, while four legions remained behind in the former camp. Ariovistus, when he saw the Romans divided, attempted an assault on their lesser camp; but the Romans repulsed it. Under the impression made by this success, the whole Roman army was brought forward to the attack; and the Germans also placed themselves in battle array, in a long line, each tribe for itself, the cars of the army with the baggage and women being placed behind them to render flight more difficult.
The right wing of the Romans, led by Caesar himself, threw itself rapidly on the enemy, and drove them before it; the right wing of the Germans was in like manner successful. The balance still stood equal; but the tactics of the reserve, which had decided so many other conflicts with barbarians, decided the conflict with the Germans also in favour of the Romans; their third line, which Publius Crassus seasonably sent to render help, restored the battle on the left wing and thereby decided the victory. The pursuit was continued to the Rhine; only a few, including the king, succeeded in escaping to the other bank (696).
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Reference address : https://www.ellopos.net/elpenor/rome/5-07-subjugation-west.asp?pg=71