Pour flour onto a clean counter, shape into a mound, and make a well in the center.
Crack the eggs into the well, and beat lightly with a fork, drawing in some flour as you go, until the eggs are mixed and slightly thickened. Use your hands to blend into a smooth dough. If it feels crumbly, add water as needed.
Knead the dough until satiny and very elastic, about ten minutes. Cover and let rest for 30 minutes before rolling it out.
Set pasta machine's rollers to the widest setting. Pinch off a piece of dough, lightly flour it, and pass it through the rollers several times, folding it over on itself each time and dusting with flour as needed to prevent sticking.
Set the rollers one notch closer and repeat the process two to three times, until the dough goes from lumpy and/or holey to smooth and satiny.
Continue to notch the rollers closer together and roll the pasta to desired thickness, 1/32 inch for ribbon pastas such as fettuccine, and paper-thin for filled shapes.