Beau Brumell's technique, according to Regency rumor:

Use a straight razor.
Shave once, with the grain.
Rub (hard) with hot towel. Shave again, against the grain.
For special occasions, shave a third time, on a 45° angle.Apply facial masque, and rinse.
Use tweezers to pull any stray hairs. Baby's bottom should come to mind.
Apply alum block, to close pores and any broken skin.

That's it, you're done!