1. Place water, salt, sugar, flour and yeast in the bread machine pan in the order recommended by the manufacturer. Select Dough setting.
2. When cycle is complete, let dough rest on a lightly floured surface.
3. Cut dough into 8 equal pieces, and roll each piece into a small ball. Flatten balls. Poke a hole in the middle of each with your thumb. Twirl the dough on your finger or thumb to enlarge the hole, and to even out the dough around the hole. Cover bagels with a clean cloth, and let rest for 10 minutes. Meanwhile, in a large pot, bring 3 quarts of water to a boil. Stir in 3 tablespoons of sugar.
4. Sprinkle an ungreased baking sheet with cornmeal. Carefully transfer bagels to boiling water. Boil for 1 minute, turning halfway through. Drain briefly on a clean towel. Arrange boiled bagels on the baking sheet. brush tops with butter, and sprinkle with your choice of toppings.
5. Bake in a preheated 375 degree F (190 degrees C) oven for 20 to 25 minutes, until well browned.