If approved, the constitution would be submitted to a popular referendum early next year, billed as the first stage in a "democratic transition" promised by the military-installed authorities following the ouster of Islamist president Mohamed Morsi in July.
More than 2,000 pro-Morsi students meanwhile poured out of university campuses and managed to reach Cairo's Tahrir Square, where they held the biggest Islamist demonstration in the iconic roundabout - the epicentre of the 2011 revolt that toppled long-ruling president Hosni Mubarak - since Morsi's ouster.
Morsi, Egypt's first democratically elected president, was overthrown by the military on July 3, and in mid-August the security forces launched a sweeping crackdown on his supporters which has left more than 1,000 people killed and thousands more jailed.
Today, authorities extended the detention of prominent secular activist Alaa Abdel Fattah by 15 days after he was arrested for holding an unauthorised demonstration against the provision in the draft charter allowing military trials of civilians.
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The thorny issue of the insular military's longstanding privileges was at the heart of voting on the constitution Sunday after the 50-member panel approved 138 of the 247 articles of the draft charter the day before.
The panel approved Article 204, which says that "no civilian can be tried by military judges, except for crimes of direct attacks on armed forces, military installations and military personnel."
Secular activists had demonstrated against the provision, fearing it could be applied to protesters, journalists and dissidents.
Another top activist, Ahmed Maher, was freed today after he turned himself in at a Cairo court yesterday following an order for his arrest.