I bragged too soon. I still lose Internet sporadically. Sometimes several times an hour; and then half a day or more will go by with no interruption.
Embarq is going to send me a new modem and see if that fixes it.
I have half a notion to go back to cable, except that I don't want our rinky-dink cable TV. And if you don't get the package, Internet is pretty expensive with their company.