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
Battle of Aquae Sextiae
When the march was over, he broke up his encampment and followed in the steps of the enemy, preserving rigorous order and carefully entrenching himself night after night. The Teutones, who were striving to gain the coast road, marching down the banks of the Rhone reached the district of Aquae Sextiae, followed by the Romans. The light Ligurian troops of the Romans, as they were drawing water, here came into collision with the Celtic rear-guard, the Ambrones; the conflict soon became general; after a hot struggle the Romans conquered and pursued the retreating enemy up to their waggon-stronghold.
This first successful collision elevated the spirits of the general as well as of the soldiers; on the third day after it Marius drew up his array for a decisive battle on the hill, the summit of which bore the Roman camp. The Teutones, long impatient to measure themselves against their antagonists, immediately rushed up the hill and began the conflict.
It was severe and protracted: up to midday the Germans stood like walls; but the unwonted heat of the Provengal sun relaxed their energies, and a false alarm in their rear, where a band of Roman camp-boys ran forth from a wooded ambuscade with loud shouts, utterly decided the breaking up of the wavering ranks.
The whole horde was scattered, and, as was to be expected in a foreign land, either put to death or taken prisoners. Among the captives was king Teutobod; among the killed a multitude of women, who, not unacquainted with the treatment which awaited them as slaves, had caused themselves to be slain in desperate resistance at their waggons, or had put themselves to death in captivity, after having vainly requested to be dedicated to the service of the gods and of the sacred virgins of Vesta (summer of 652).
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Reference address : https://www.ellopos.net/elpenor/rome/4-05-peoples-north.asp?pg=46