After the fight with Furies, you get an Oath Stone of Orkos. It creates a copy of Kratos, so he can be in two places simultaneously. Pull the lever in front of you until it stops.
Holding lever, use the Stone of Orkos to copy yourself and block the mechanism. Move forward and jump onto a platform.
When you stand on it, use Stone of Orkos to eliminate your clone. Platform will lift and you can jump onto a higher level.
Moving right and towards the screen, you find a Stonemason's Chisel.
After taking it, jump onto a platform on right and take red and white chest.
Now return to the elevator and stand on a round trapdoor. Leave your clone there and jump through an abandoned gate.
You get onto an arena with Satyrs. It's a good occasion for testing Orkos' Stone.
After that approach the wall on left, passing chests locked behind bars. Jump onto wall and climb up and right.
When you get to a changing color chest, approach an edge of the platform and drag a platform marked over with a white arc. When it blocks, use Orkos' Stone to create your clone.
Jump down where you've been fighting Satyrs and go left. In a room you find Archimedes Note, two red and one white chests.
Return to the platform where you've left your shadow. Drag the platform again and use Orkos' Stone to hold it. Jump onto it and destroy your clone.
Jumping forward, you get onto a balance beam. Go left and leave your clone here. From the lifted part of it jump onto a mechanism and climb up and left.
After getting outside, go left and jump onto a second shore, catching a big chain.
You fall into an arena with Cerberus, supported by the blue warrior woman and demonic hounds. Clean the area from hounds and then eliminate the blue one. You can push them to the water.
When the encounter is finished, heal and regenerate mana from chests and approach the big, broken chain. You have to rebuild it partially. Drag its right end to left and create a clone to hold it.
Move a bit left and use an Amulet to repair it partially, so the one part of link is joined and the other one broken.
Jump through the chain up and go right to take a red chest under the scaffold and white one on it.
Now go left and enter a round elevator with flames on the walls. Make a clone on one of trapdoors.
When you start going up, you'll be attacked by armored Satyrs and fire Talos. If the elevator starts falling, quickly make a clone on one of trapdoors. Try to keep nearby the middle of the room to avoid flames.
After getting on the very top, the elevator blocks and you need to finish enemies and release it.