Cross the bridge.
Use the whip to get to the other side.
Climb down the ladder.
Run down the stairs, halfway down you will find a closed door.
Run down into the dungeon and kill the two guys.
I found no use for the that, but:
On the right wall you can use the first gargoyle with ring as a lever.
The door on the right opens.
Step through to find another table-leg.
Run into the left passage.
Get past the swinging blades.
In the corner of the passage you have to dive under the blades.
Run up the stairs and into the next passage where you have to dive under the blades again.
At the end look into the passage on the right.
Wait till both spike barrels are on the upper level, then run forward and dive underneath them.
Look into the next passage on the right.
Run through the first trap when the blades goes up.
Then run through the second as well.
Then run through the two sets of triple blades.
Use the lever in front of you to open a door outside. This door is by the ladder from the beginning.
Run up the stairs on the right and fill up your waterskin at the fountain.
Then step through the now open door.
Use the whip again to reach the other side.
Step into the chamber and use the lever to open the door below.
Climb down the ladder and finish the two baddies that came through the door.
Collect any remaining weapons.
Now run through the door and into the passage on the right.
At the top you will come to an opening and a deep shaft.
Get out the whip, take a running jump into the shaft and then when in the air use the whip to hold on to the hook on the roof.
Swing into the alcove opposite.
The door here is closed.
Walk along the wall to the left.
Use the switch to lower the cage in the shaft.
A chain remains.
Jump onto the chain and climb up.
Turn around and jump into the alcove above the passage you just came out of.
In the passage you will meet three armed baddies.
Kill them all.
Then use the switch in the second alcove on the right.
The cells opens.
The cell next door contains some ammo.
Now run to the end of the broad passage and turn right to enter the next passage.
Run out into the yard.
At the end you will find a fountain.
Climb up onto the bridge in the middle. You have to stay one step away from the bridge wall or Indy wont be able to grab the ledge.
Pull the right switch to lower a chain on the dry site and to retract one over the water.
Jump onto that new chain and from there continue onto the second. Climb up and jump into the alcove.
Pull the lever there to open a gate opposite.
Drop onto the lowered block and from there to the ground.
Climb onto the bridge again and this time use the left lever.
Now jump onto the first chain on the water side.
Climb up a bit and while swinging jump onto the next chain.
From there jump into the entrance.
Use the switch on the right wall.
Run through the opened gate.

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