Mix eggs, milk and salt together until smooth. Stir in one cup of flour until smooth. Add additional flour, just a small spoonful at a time, until the dough comes together in a ball, but is still slightly sticky.
Dump dough out onto a floured surface. Use well floured hands to knead the dough with your hands, until it's no longer sticky, about 3-5 minutes.
Roll out onto a lightly floured counter until it's very thin -- less than 1/4'' thick or paper thin.
Use a sharp knife or pizza cutting wheel to cut the noodles into long strips, however narrow or wide you like. I like to roughly gather them with my fingers into a pile to make them more shapely, and not so flat. You could even twist some with your fingers to make them prettier.
To cook them immediately, add them to a pot of boiling water and cook until tender to the bite, about 2-3 minutes. Drain and serve with butter and a sprinkle of parmesan cheese.