Sift dry ingredients into a mixing bowl. Beat egg and oil together, then add to dry ingredients, mixing until flour is moistened. Add water, a teaspoon at a time.
Turn dough out onto a board (it will be crumbly) and knead 5 minutes. Cover ball and let rest 30 minutes.
On a lightly floured board, roll out dough as thin as possible. Let rest and dry, turning once until the dough feels like soft leather.
Roll dough up jelly roll fashion and slice the desired width (or use your pasta machine).
To dry noodles, hang them over a wooden pole or spread them out on wax paper. Let dry 30 minutes.
Cook in boiling, salted water about 8 minutes. Drain and serve with your favorite sauce. This recipe may be doubled.