Pasta with homemade sauce

Ingredient for XXXX servings:
250 g/9 oz Pasta
1 medium or 2 small carrots
2 cloves garlic
1 shallot or 1 onion
1 stalk celery
1 sprig basil
400 g/14 oz ripe tomatoes or peeled canned tomatoes
pinch of oregano
2 tablespoons olive oil
coarse salt to taste
grated cheese to taste

Slice all the vegetables, peel the garlic and put into a saucepan with the oregano, a little salt and the olive oil.
Cook over a medium flame for 30 minutes.
Remove from the stove, drain off the excess liquid (if you used fresh tomatoes) and put through a vegetable mill.
Put back on the stove and reduce slightly.
Cook the pasta in lots of salted water until it is al dente, drain and dress with the tomato sauce adding a squiggle of olive oil or butter and grated cheese.