Mix the dry ingredients and form a well in the middle. Add the eggs and begin to stir, drawing in the dry ingredients. Gradually add the water and continue stirring until the dry ingredients are completely mixed in but the batter is still thick.
For noodles: put the batter in a ricer and push through over a pot of simmering salted water or soup. The noodles will float to the top when done, about 4 minutes.
For dumplings: drop dollops of batter off a spoon into simmering salted water or soup. Cover the pot and let simmer (not boil) for about 10-12 minutes.