Hosni Mubarak's regime yesterday failed once again to convince the huge crowds in Tahrir Square that its commitment to political reform was sufficiently meaningful for the demonstrations to come to an end.
In a clear indication of the continuing solidity of the 15-day-old protest against Mr Mubarak's presidency, the crowd appeared impervious to the blandishments of a television appearance in which Vice President Omar Suleiman announced that Mr Mubarak had endorsed the creation of a timetable for a "peaceful and organised transfer of power".
Instead the 100,000-plus protesters were partly galvanised by an emotional TV interview on Monday given by one of the online organisers of the 25 January protest, 30-year-old Google employee Wael Ghonim, after his release from 12 days of detention.
Mr Ghonim, who wept when told that up to 300 people may have been killed during the protests, was cheered when he made a brief appearance in the square. "We will not abandon our demand and that is the departure of the regime," he told the crowd.
Speaking softly, Mr Ghonim starting by offering his condolences to the families of those killed, many of whose pictures were yesterday displayed on banners in the square.
"I'm not a hero, but those who were martyred are the heroes," he said, before leading a chant of "Mubarak leave, leave".
While the protesters have taken pride in the absence of a leadership that can act as their public representatives, around 130,000 people had - by last night - joined a Facebook group nominating Mr Ghonim to be the spokesman of their uprising.
In his television interview Mr Ghonim called the protests "the revolution of the youth of the internet", and declared: "We are not traitors."
Mr Suleiman - the former intelligence chief some Western leaders would like to see replace the President - insisted that Mr Mubarak had fully supported "this national dialogue, emphasizing that it puts our feet on the right path out of this ongoing crisis".
But the Islamist Muslim Brotherhood - one of the groups that met the Vice President on Sunday - called the reforms on offer "partial" and said that Mr Mubarak must resign to ease Egyptian anger.
With the large majority of the crowd seeking the immediate departure of Mr Mubarak, Abdul Rahman Yousef - a prominent figure in Mohammed el Baradei's National Association for Change - acknowledged yesterday a distinction between the "physical" and "political" departure of Mr Murabak before the six month deadline he has set himself.
But while the President could simply hand over his powers while remaining a figurehead, Mr Yousef said: "You have to ask the people here if they would accept that."
He also acknowledged that new moves might be necessary for the demonstrators to maintain their initiative, such as a possible march on the state television station - which remains closely guarded by an army tank cordon - or on one of the presidential palaces.
As well as 5,000 university professors and teachers who had earlier been blocked by security forces when they attempted to march on the Interior Ministry, the protesters included a prominent Mubarak-appointed Egyptian judge and feminist, Tahaan Gebaly, who is a vice president of both the constitutional and supreme courts. "I am here as a patriotic citizen of Egypt," she told The Independent. Adding that she wanted Mr Mubarak to stand down, she said: "We have a revolution and that revolution can create a new legitimacy and a new constitution."
Ms Gebaly was dismissive of suggestions - including from Washington - that Mr Mubarak would trigger an automatic election within 60 days if he stood down now, saying that there were "many solutions" to such a constitutional provision.
Asked if she feared dismissal by the regime if Mr Mubarak stayed in power, she said, smiling: "I don't care."
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