You reach a big square, where you see a cut-scene with a soldier getting on a Cyclops' back. To eliminate such "teams", you first have to take down the rider (press O and rotate left analog stick). When he's down, eliminate him (preferably using fatality-based blows). The Cyclops is best dealt with from a reasonable distance. Learn to recognize his blows in order to know when to evade. If you can perform a fatality on him, you'll get a Cyclops eye. Gather 20 of these and you'll unlock a bonus costume for Kratos. (NOTE: this CANNOT be performed during one playthrough of the game, there's simply not enough Cyclopses!)
After defeating all the enemies, approach the door at the back of the screen and pull out a movable brick from it, then open the gate. Destroy the boxes to reveal a red orb chest. When you reach the junction, go left - at the end of the corridor there's another experience chest. Go back to the junction and this time go right.
Defeat the bats and jump down. You now have to defeat three phantoms. When you succeed, destroy the pillar in the middle and use you hook to get to the passage in the back.
Use your blades to jump to the other side of the swamp. Go up the ladder to the left and use the rope to get to the right - you'll find a Gorgon Eye and some experience. Jump back down and go along the trunks to reach the opposite ends. Approach the pillars and destroy them in order to quickly get rid of the monsters. Defeat all the enemies and go further - there's some experienced and health to be found in niches to the left and to the right.
You are now in a big room with a button in the center. Start by using the lever to the right. Smash through the walls to the left and to the right to reveal a little stream. Pick up a body that laying behind a grate to the right, then quickly run to the left side and grab it when it floats out. Throw it on a button there. Now stand on the button in the middle of the room and you're free to go.
HINT: When in this room, activate your bow and notice that you are able to target the plants to the right, revealing a hook that can be used to jump onto the platform there. You'll find yourself a Gorgon Eye and some experience this way.
You'll reach a huge bog that you have to cross using the turnstiles placed on big metal wheels. Enemy soldiers will not make it any easier. This puzzle is a little irritating, because enemies spawn endlessly here and usually don't let you to use the turnstiles for long enough. A good way to eliminate them is to throw them around (O + ). When you reach the other end, you will face a Titan Minotaur. This enemy looks far more dangerous than he really is. He doesn't react quickly to your blows and you can execute a powerful combo each time you jump near him. Just remember to jump away each time he's about to swing his arms. Execute a fatality as soon as possible.
Knock over the pillar (R1) and go along the wall, then grab the liana and reach the spot where you saw the fighting human soldier. Open the door to the right to reveal a time-stopping statue. Use you Amulet (L1+R1) and jump along the rotating wheels all the way to the conveyor belt with medusa rays shooting over it. Maneuver through them, avoiding combat, and destroy a grate that's blocking your way.
HINT: If you get back to this location when possessing the Golden Fleece (and it's a long way to go back, unfortunately), you can use it to reflect the medusa rays on the conveyor belt. By doing so, you'll get a Gorgon Eye, a Phoenix Feather and the Urn of the Gorgons.
Use you blades to jump to the opposite platform. Destroy the three statues. There's a movable pillar behind one of them. Push it in order to get back near the beginning of this area.
Move both pillars so that they tilt the whole construction, then approach its edge and press R1 to make a little mess around here.
Go through the ruined construction and grab the wall. Climb to the left, destroy the tree that's blocking you way. Go further, until you reach a dying soldier. Talk to him, then grab his body and throw it on a conveyor belt a little bit ahead (Kratos is a really bad role model). Before you go through the newly opened passage, go further towards the back of the screen to find a Phoenix Feather.
Destroy the broken clockworks and you'll reach Cerberus' chamber. The three-headed dog is not really that difficult - despite being a kind of sub-boss, it's actually easier than some of the regular opponents. Its attacks are quite slow and you can execute long combos against it. When you bring it down, you'll get the Golden Fleece.
Use the lever to the right, and a nearby statue will start to throw fireballs. Stand on its line of fire and press L1 in the exact moment a projectile hits you. That's how the Golden Fleece works - it deflects all projectiles if only you manage to press L1 at the right moment.
Go back towards the main temple. You'll meet some Gorgons along the way - you can now use the Golden Fleece to reflect their rays and turn them into stone. When you go past the big mechanical wheel (part of the mechanism that you destroyed by throwing the dying soldier into it), smash it to pieces and you'll find a Gorgon Eye behind it. Go back to Temple of Euryale.