http://english.aljazeera.net/news/middleeast/2011/01/201112974149942894.html
Demonstrators gathered in Tahrir Square in the Egyptian capital, Cairo, on Saturday morning, shouting "Go away, go away!", the Reuters news agency said.
Similar crowds were gathering in the cities of Alexandria and Suez, Al Jazeera's correspondents reported.
In Suez, Al Jazeera's Jamal ElShayyal reported that protesters were gathering, and that the military was not confronting them.
ElShayyal quoted a military officer as saying that troops would "not fire a single bullet on Egyptians", regardless of where the orders to do so come from.
The latest protests reflected popular discontent with Mubarak's midnight address, where he announced that he was dismissing his government but remaining in power.
The several hundred protesters in Tahrir Square demonstrated in full view of the army, which had been deployed in the city to quell the popular unrest sweeping the Middle East's most populous Muslim country since January 25.
They also repeatedly shouted that their intentions were peaceful.
Reuters reported that the police "fired shots" on the protesters in Cairo. An independent confirmation of that report is awaited.
Al Jazeera's Jane Dutton, reporting from Cairo, said the normally bustling city looked more like a warzone early on Saturday morning.
Tanks have been patrolling the streets of the capital since early in the morning.
The number of people killed in protests is reported to be in the scores, with at least 23 deaths confirmed in Alexandria, and at least 15 confirmed in Suez, with a further 15 deaths in Cairo.
Al Jazeera's Rageh in Alexandria said that the bodies of 23 protesters had been received at the local morgue, some of them brutally disfigured.
ElShayyal, our correspondent in Suez confirmed 15 bodies were received at the morgue in Suez, while Dan Nolan, our correspondent in Cairo, confirmed that 15 bodies were present at a morgue in Cairo.
More than 1,000 were also wounded in Friday's violent protests, which occurred in Cairo and Suez, in addition to Alexandria.
Protests continued throughout the night, with demonstrators defying a nighttime curfew.
The Egyptian army says that it has been able to secure the neighbouring museum of antiquities from the threat of fire and looting, averting the possible loss of thousands of priceless artefacts.
Armoured personnel carriers remain stationed around the British and US embassies, as well as at the state television station.
Some mobile phone networks resumed service in the capital on Saturday, after being shut down by authorities on Friday. Internet services remain cut, and landline usage limited.