Beat the butter until thick and creamy, add the eggs. Stir everything until homogeneous. Add salt, nutmeg and potatoes. Mix with your hands. Gradually add flour until a compact, non-sticky dough is formed. Roll this into finger-thick and -long noodles. Grease a pan with butter. Pour in the noodles close together so that each one touches the bottom of the pan. Pour in enough milk to just cover the bottom of the pan. Fry the noodles until golden brown all around, gradually adding more milk.
Sweet variation: instead of nutmeg, add a little bit of sugar. Repeatedly sprinkle a little sugar over the noodles placed in the frying pan.