After a cut scene, you'll fight Furies. It's a longer battle, during which you'll regenerating a bit of mana and health few times, but remember to keep it for the last phase of an encounter. At the beginning, clean up the number of Spartans summoned by the Fury. They are not too dangerous. You can kill them using area attacks.
Finally, a spider Fury joins the battle. She signalizes her attacks with glowing limbs. Firstly, they'll be rather single blows of short range.
When your alley gets wider, Fury will attack you more often with her spider limbs and make longer combos. Be careful especially when she jumps onto roofs. When she jumps down, be ready to jump to avoid a shockwave.
Enraging the Fury makes her summon new Spartans and jump on the roof. Kill few Spartans, pick up spears and throw them at Fury. After every hit, she summons exploding parasites. Avoid them and keep firing at her.
After a short fight and cutting her hand off, an illusion disappears and you'll be attacked by Fury's companion. Standing on the building avoid its blows and counterattack until it dies.
Now you'll face the second Fury and her pet. At the beginning, they'll be attacking you together. Avoid Fury's attacks, especially a charge performing just after her landing on the ground. The best is to attack her, when her companion disappears.
After hitting her hard, Fury creates a barrier and starts throwing blasts at you. On the ground you can see places where they'll hit. Avoid them and observe Fury - when the barrier disappears, attack. After few series, she is falls down.
In the next phase, you fight two Furies at once. It's the last one phase, so use all you've got. It'll be one big chaos. Beware of the Fury supported by her pet - her attacks will be especially dangerous.
Spider Fury will stomp a lot, what is preceded by a slow motion. Remember to jump.
Hitting them alternately, you get to the moment when Spider Fury creates a barrier - she is invulnerable for now, so focus on her sister. Try to separate them and attack the uncovered one, when the other one is away from you.
At the very end, finish the stunned Furies. An arc signalizes a move which you have to make with your analogs.