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
The Samnites, profiting by that lesson, now threw themselves in the first instance with all their might on the Lucanians, and succeeded in bringing their party in that quarter to the helm of affairs, and in concluding an alliance between Samnium and Lucania. Of course the Romans immediately declared war; the Samnites had expected no other issue. It is a significant indication of the state of feeling, that the Samnite government informed the Roman envoys that it was not able to guarantee their inviolability, if they should set foot on Samnite ground.
The war thus began anew (456), and while a second army was fighting in Etruria, the main Roman army traversed Samnium and compelled the Lucanians to make peace and send hostages to Rome. The following year both consuls were able to proceed to Samnium; Rullianus conquered at Tifernum, his faithful comrade in arms, Publius Decius Mus, at Maleventum, and for five months two Roman armies encamped in the land of the enemy. They were enabled to do so, because the Tuscan states had on their own behalf entered into negotiations for peace with Rome.
The Samnites, who from the beginning could not but see that their only chance of victory lay in the combination of all Italy against Rome, exerted themselves to the utmost to prevent the threatened separate peace between Etruria and Rome; and when at last their general, Gellius Egnatius, offered to bring aid to the Etruscans in their own country, the Etruscan federal council in reality agreed to hold out and once more to appeal to the decision of arms.
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Reference address : https://www.ellopos.net/elpenor/rome/2-06-italians-rome.asp?pg=32