Appian, The Civil Wars
Horace White, Ed.

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[33] Octavius, with all haste and with his whole army, drew a line of circumvallation around Perusia fifty-six stades in circuit, on account of the hill on which it was situated; he extended long arms to the Tiber, so that nothing could be introduced into the place. Lucius built a similar line of countervallation, thus fortifying the foot of the hill. Fulvia urged Ventidius, Asinius, Ateius, and Calenus to hasten from Gaul to the assistance of Lucius, and collected reënforcements, which she sent to Lucius under the lead of Plancus. Plancus destroyed one of Octavius' legions, which was on the march to Rome. While Asinius and Ventidius were proceeding, at the instance of Fulvia and Manius, to the relief of Lucius (but with hesitation and doubt as to Antony's preference), in order to raise the blockade, Octavius and Agrippa, leaving a guard at Perusia, threw themselves in the way. The former, who had not yet formed a junction with each other and were not proceeding with much alacrity, retreated, -- Asinius to Ravenna and Ventidius to Ariminum. Plancus took refuge in Spoletium. Octavius stationed a force in front of each, to prevent them from forming a junction, and returned to Perusia, where he speedily strengthened his investment of the place and doubled the depth and width of his ditch to the dimensions of thirty feet each way. He increased the height of his wall and built 1500 wooden towers on it, sixty feet apart. He had also strong redoubts and every other kind of intrenchment, with double front, to besiege those within and to repel assaults from without. While these works were under construction there were frequent sorties and fights, in which the forces of Octavius had the advantage in the use of missiles, and the gladiators of Lucius were better at hand-to-hand fighting. So these killed many at close quarters.