* Islamist movement's "General Guide" faces trial on Sunday
* Mubarak to appear at same court in separate case
* Mursi in detention since army deposed him on July 3
Three leaders of Egypt's Muslim Brotherhood and the movement's former arch-foe Hosni Mubarak faced separate trials on Sunday on similar charges of involvement in the killing of protesters.
With Egypt now under an army-installed government after last month's overthrow of Islamist President Mohamed Mursi, local media seized on the symbolism of scheduling both sessions on the same day. "Trial of two regimes," headlined al-Shorouk daily.
In the end, Mohamed Badie, the Brotherhood's "General Guide", and his deputies did not appear at the opening of their trial for security reasons, a judicial source said. Citing their absence, the judge adjourned the trial until Oct. 29.
The case against Badie, Khairat al-Shater and Rashad Bayoumy relates to unrest before the army removed Mursi on July 3. Mursi has been detained in an undisclosed location since then.
Mubarak, who left prison on Thursday after judges ordered his release, appeared in a courtroom cage in a wheelchair, wearing sunglasses and dressed in white, along with his jailed sons Gamal and Alaa and former Interior Minister Habib al-Adly.
The former president was sentenced to life in prison last year for complicity in the killing of protesters during the revolt against him, but an appeals court ordered a retrial.
The state news agency MENA said a helicopter had flown Mubarak to the court hearing in the Police Academy on the eastern outskirts of Cairo from a military hospital where he was placed under house arrest after his release from jail.
The government used a state of emergency it declared earlier this month to place Mubarak under house arrest, apparently to forestall any popular anger if he had simply walked free.
The trial of the Brotherhood's leaders signals that Egypt's new army-backed rulers intend to crush what they have portrayed as a violent, terrorist group bent on subverting the state.
The Brotherhood, which won five successive post-Mubarak votes, says it is a peaceful movement unjustly targeted by the generals who ousted Mursi, Egypt's first freely elected leader.
The military contends it was responding to the people's will, citing vast demonstrations at the time against the rule of a man criticised for accumulating excessive power, pushing a partisan Islamist agenda and mismanaging the economy.
BROTHERHOOD IN DISARRAY
Charges against Badie and his aides include incitement to violence and relate to an anti-Brotherhood protest outside the group's Cairo headquarters on July 30 in which nine people were killed and 91 wounded. The 70-year-old Brotherhood leader was detained last week. Shater and Bayoumy were picked up earlier.
More than 1,000 people, including about 100 soldiers and police, have died in violence across Egypt since Mursi's fall, making it the bloodiest civil unrest in the republic's 60-year history. Brotherhood supporters say the toll is much higher.
Pro-Mursi crowds staged scattered marches on what they had billed as a "Friday of Martyrs", but the Brotherhood's ability to mobilise huge crowds appears to have been enfeebled by the round-up of its leaders and the bloody dispersal of protest camps set up in Cairo to demand the president's reinstatement.
In a sign of confidence, the government on Saturday relaxed a night-time curfew it had imposed on Aug. 14 when the protest camps were stormed. The curfew now starts at 9 p.m. (1900 GMT) instead of 7 p.m., except on Fridays, when protests are common.
Mursi's return is not on the cards for now. The army has announced a roadmap for a return to democracy that involves overhauling the constitution adopted under Mursi last year, with parliamentary and presidential elections to follow.
Changes proposed by a government-appointed legal panel would scrap last year's Islamic additions to the constitution and revive a Mubarak-era voting system. Islamists and liberals have expressed alarm about the suggestions.
Khaled Dawoud, a member of the liberal Dostour party, said he was worried about plans to retain articles under which journalists risk jail for "insulting the president" and newspapers can be closed for violating media laws - penalties enforced under Mursi, as well as during Mubarak's 30-year rule.
"I want new freedoms, more freedoms and not to end up with something similar to the 1971 constitution or one worse than Mursi's 2012 constitution," he said.
Islamists are also up in arms, for different reasons, saying the changes amount to an assault on Egypt's "Islamic identity".
U.S. Secretary of State John Kerry discussed the roadmap and the constitutional process in a call with interim Foreign Minister Nabil Fahmy on Friday, MENA reported.
The United States has voiced concern about bloodshed in Egypt since Mursi's fall. President Barack Obama has stopped short of cutting the $1.5 billion in mostly military U.S. aid to Cairo, but has ruled out any "return to normal business".