To solve the 10 cogwheel puzzles in Indiana Jones and the Great Circle, you need to follow a series of steps for each puzzle. Here’s a detailed guide for the Sukhothai region, focusing on the Hidden Gate Gear Puzzle:

### Step-by-Step Guide for the Hidden Gate Gear Puzzle

1. **Initial Setup**:
– Upon entering the room, you’ll see a large mechanism with several gears and several gears scattered around the floor.
– Take a photo of both the Right Gear Train and the Left Gear Train to get started.

2. **Inspecting the Right Gear Train**:
– Look at the Right Gear Train and find four small indentations spaced out to the right of the central gear and lever.
– Note that trying to place all large and small cogwheels into these four slots won’t exactly work out.

3. **Finding Additional Cogwheels**:
– Turn to look at the Left Gear Train and find a small alcove in the corner to crawl under, leading to a back room.
– Climb up the ledge on the left, and you’ll find another small cogwheel at the top across from a rung you can latch onto with your whip and yank away to power this water wheel.

4. **Activating the Water Wheel**:
– Return back to the Left Gear Train and pull the rung to activate the water wheel in the back room.
– This will help you access more cogwheels.

5. **Placing Cogwheels on the Right Gear Train**:
– Place one large cogwheel in the bottom middle of the Right Gear Train.
– Place three small cogwheels along the bottom left and in the two upper slots.
– This should allow you to pull the lever and activate this side of the Gear Train.

6. **Using Cogwheels from Right Gear Train for Left Gear Train**:
– Now that the Right Gear Train is active, you no longer need to keep those cogwheels.
– Take all five cogwheels with you and inspect the Left Gear Train.

7. **Placing Cogwheels on the Left Gear Train**:
– Place one large cogwheel along the middle row, second to the right to connect with the central gear.
– Place two small cogwheels to the left of it.
– Place the second large cogwheel in the bottom row’s left side.
– Place the third small cogwheel to the right to connect with the moss-covered cogwheels leading down.
– Pull the lever to activate this side.

8. **Final Check**:
– Ensure that both sides are correctly aligned and activated.
– If everything is in place, pulling both levers should make the two monster statues drop into the floor, indicating that the puzzle is solved.

### General Tips for All Cogwheel Puzzles

– **Collect All Cogs**: Make sure to collect all available cogwheels as you find them. Each puzzle may require specific cogwheels, and having more will make your life easier.
– **Remove Cogs from Wall**: Before starting each puzzle, remove all available cogs from the wall to give yourself a clean board to reflect on your choices.
– **Use Cogs Wisely**: Be strategic about which cogs you place first. Sometimes, you’ll need to use cogs from one side to solve another side of the puzzle.

By following these steps and tips, you should be able to solve all 10 cogwheel puzzles in Indiana Jones and the Great Circle.